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Now showing items 1-100 of 591

(Journal article / Tidsskriftartikkel / SubmittedVersion, 2021)

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)

Cardiac muscle cells can exhibit complex patterns including irregular behaviour such as chaos or (chaotic) early afterdepolarisations (EADs), which can lead to sudden cardiac death. Suitable mathematical models and their ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)

Many of the widely used models for description of nonlinear surface gravity waves, in deep or shallow water, such as High Order Spectral Method (HOSM) and Boussinesq-type equations, rely on the elimination of the vertical ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Background
Infusion testing is a common procedure to determine whether shunting will be beneficial in patients with normal pressure hydrocephalus. The method has a well-developed theoretical foundation and ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Statistical models are often fitted to obtain a concise description of the association of an outcome variable with some covariates. Even if background knowledge is available to guide preselection of covariates, stepwise ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Present first-order based design code formulations for slender columns in frames with sway, employ sway magnification factors (for global second-order effects) also as moment magnifiers for the individual columns of the ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Let X be a Riemannian manifold and xn a sequence of points in X. Assume that we know a priori some properties of the set A of cluster points of xn. The question is under what conditions that xn will converge. An answer to ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We define Chern–Schwartz–MacPherson (CSM) cycles of an arbitrary matroid. These are balanced weighted fans supported on the skeleta of the corresponding Bergman fan. In the case that the matroid arises from a complex ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We report laboratory experiments of long-crested irregular water surface waves propagating over a shoal. For a sufficiently shallow shoal we find that the surface elevation can have a local maximum of skewness and kurtosis ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

The coupled Darcy–Stokes problem is widely used for modeling fluid transport in physical systems consisting of a porous part and a free part. In this work we consider preconditioners for monolithic solution algorithms of ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We classify rational, irreducible quartic symmetroids in projective 3-space. They are either singular along a line or a smooth conic section, or they have a triple point or a tacnode.

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

In this paper we aim at modeling stochastic transition rates of state processes in life insurance by using generalized Cox processes. A feature of a our non-Gaussian model is that it can be used to capture ‘regime switching’ ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We continue our study of the Fourier–Stieltjes algebra associated to a twisted (unital, discrete) C*-dynamical system and discuss how the various notions of equivalence of such systems are reflected at the algebra level. ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

Environmental contours are used in structural reliability analysis of marine and coastal structures as an approximate means to locate the boundary of the distribution of environmental variables, and hence sets of environmental ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Spot option prices, forwards and options on forwards relevant for the commodity markets are computed when the underlying process S is modelled as an exponential of a process ξ with memory as, e.g., a Volterra equation ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

This paper is concerned with properties of permutation matrices and alternating sign matrices (ASMs). An ASM is a square (0,±1)-matrix such that, ignoring 0’s, the 1’s and −1’s in each row and column alternate, beginning ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

Time integration of Fourier pseudospectral DNS is usually performed using the classical fourth‐order accurate Runge‐Kutta method or other second‐ or third‐order methods, with a fixed step size. We investigate the use of ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

Principal component analysis (PCA) is a common tool in the literature and widely used for process monitoring and fault detection. Traditional PCA is associated with the two well-known control charts, the Hotelling’s T2 and ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

In this paper, we consider the Keller–Segel chemotaxis system with additional cross-diffusion term in the second equation. This system is consisting of a fully nonlinear reaction–diffusion equations with additional ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Previous studies of fetal death with maternal influenza have been inconsistent. We explored the effect of maternal influenza-like illness (ILI) in pregnancy on the risk of fetal death, distinguishing between diagnoses ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

The continuous growth in maritime traffic and recent developments towards autonomous navigation have directed increasing attention to navigational safety in which new tools are required to identify real-time risk and complex ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

An old question of Mori asks whether in dimension at least three, any smooth specialization of a hypersurface of prime degree is again a hypersurface. A positive answer to this question is only known in degrees two and ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Kemeny's constant κ(G) of a connected undirected graph G can be interpreted as the expected transit time between two randomly chosen vertices for the Markov chain associated with G. In certain cases, inserting a new edge ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We prove that there exists a pencil of Enriques surfaces defined over Q with non-algebraic integral Hodge classes of non-torsion type. This gives the first example of a threefold with the trivial Chow group of zero-cycles ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We prove that the product of an Enriques surface and a very general curve of genus at least 1 does not satisfy the integral Hodge conjecture for 1-cycles. This provides the first examples of smooth projective complex ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

We present a collection of research questions on cubic surfaces in 3-space. These questions inspired the present collection of papers. This article serves as the introduction to the issue. The number of questions is meant ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

This paper deals with a homogeneous Neumann problem of a nonlinear diffusion system involving variable exponents dependent on spatial and time variables and cross-diffusion terms. We prove the existence of weak solutions ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

In the statistical literature, the class of survival analysis models known as cure models has received much attention in recent years. Cure models seem not, however, to be part of the statistical toolbox of perinatal ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Sediment slumps are known to have generated important tsunamis such as the 1998 Papua New Guinea (PNG) and the 1929 Grand Banks events. Tsunami modellers commonly use solid blocks with short run-out distances to simulate ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We argue that the very effective cover of hermitian K-theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topological K-theory spectrum. This means the ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

This paper focuses on the active flow control of a computational fluid dynamics simulation over a range of Reynolds numbers using deep reinforcement learning (DRL). More precisely, the proximal policy optimization (PPO) ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Numerical simulations of granular flows with Navier–Stokes type models emerged in the last decade, challenging the well established depth-averaged models. The structure of these equations allows for extension to general ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We derive bounds for the constants in Poincaré–Friedrichs inequalities with respect to mesh-dependent norms for complexes of discrete distributional differential forms. A key tool is a generalized flux reconstruction which ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

Successful trading in electricity markets relies on the market actor's ability to accurately forecast the electricity price. The fundamental electricity price models use market information, provided by various price drivers, ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We study the logical and computational properties of basic theorems of uncountable mathematics, in particular Pincherle's theorem, published in 1882. This theorem states that a locally bounded function is bounded on certain ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

One of the risks derived from selling long-term policies that any insurance company has arises from interest rates. In this paper, we consider a general class of stochastic volatility models written in forward variance ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Using recent results of Bayer–Macrì, we compute in many cases the pseudoeffective and nef cones of the projectivised cotangent bundle of a smooth projective K3 surface. We then use these results to construct explicit ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

Statistical solutions are time-parameterized probability measures on spaces of integrable functions, which have been proposed recently as a framework for global solutions and uncertainty quantification for multi-dimensional ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Background
The standard lasso penalty and its extensions are commonly used to develop a regularized regression model while selecting candidate predictor variables on a time-to-event outcome in high-dimensional ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

The recently proposed glymphatic system suggests that bulk flow is important for clearing waste from the brain, and as such may underlie the development of e.g. Alzheimer’s disease. The glymphatic hypothesis is still ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Background
Graph-based reference genomes have become popular as they allow read mapping and follow-up analyses in settings where the exact haplotypes underlying a high-throughput sequencing experiment are ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

A user defined cohesive material model is implemented in the LS-DYNA finite element code. The model is based on interface properties characterised from DCB specimens loaded with unequal bending moments. Different mode ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Co-current two-phase simulations of gas-liquid flow with mixture velocities from 1.2 to 4.2 m/s were run in a partially eccentric annulus and compared with entirely eccentric and concentric experimental data collected at ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

The liberalization of energy markets worldwide during recent decades has introduced severe implications for the price formation in these markets. Especially within the European day-ahead electricity markets, increased ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

Given a set A in the unit interval and the associated Lebesgue measure λ, it is a natural question whether we may (in some sense) compute the measure λ(A) in terms of the set A. Under the moniker measure theoretic uniformity, ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

In this paper, we investigate the dynamics of a neuron–glia cell system and the underlying mechanism for the occurrence of seizures. For our mathematical and numerical investigation of the cell model we will use bifurcation ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

We study first-order concatenation theory with bounded quantifiers. We give axiomatizations with interesting properties, and we prove some normal-form results. Finally, we prove a number of decidability and undecidability results.

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Somatic copy number alterations are a frequent sign of genome instability in cancer. A precise characterization of the genome architecture would reveal underlying instability mechanisms and provide an instrument for outcome ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We prove a strengthened form of convexity for operator monotone decreasing positive functions defined on the positive real numbers. This extends Ando and Hiai's work to allow arbitrary positive maps instead of states (or ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

We have developed an efficient methodology for Bayesian prediction of lithology and pore fluid, and layer-bounding horizons, in which we include and use spatial geologic prior knowledge such as vertical ordering of ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

In this paper, we provide new results and algorithms (including backtracking versions of Nesterov accelerated gradient and Momentum) which are more applicable to large scale optimisation as in Deep Neural Networks. We also ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

The existence of large and extreme claims of a non-life insurance portfolio influences the ability of (re)insurers to estimate the reserve. The excess over-threshold method provides a way to capture and model the typical ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

The seller's risk-indifference price evaluation is studied. We propose a dynamic risk-indifference pricing criterion derived from fully-dynamic risk measures on the $L_p$-spaces for $p\in [1,\infty]$. The concept of ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

In this paper, we study a so-called Condition C1 on square matrices with complex coefficients and a weaker Condition C2. For Druzkowski maps Condition C2 is equivalent to the Jacobian conjecture. We show that these conditions ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

The process of a circular free falling jet entering an idle pool was studied with the objective of determining a relation between the naturally occurring disturbances on the jet surface and air entrainment. To this end the ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

Epigenetic observations are represented by the total number of reads from a given pool of cells and the number of methylated reads, making it reasonable to model this data by a binomial distribution. There are numerous ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)

We introduce two essentially undecidable first-order theories WT and T. The intended model for the theories is a term model. We prove that WT is mutually interpretable with Robinson’s R. Moreover, we prove that Robinson’s ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)

We study the action of the group PGL(4) on the parameter space P 19 of complex cubic surfaces. Specifically, we look at how the techniques used by Aluffi and Faber in [1] can be extended to compute the degree of the orbit ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

The sparseness promoted by the total variation norm is utilized to achieve superresolution amplitude-variation-with-offset (AVO) inversion. The total variation norm promotes solutions that have constant values within ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

We describe a method for geophysical inversion of seismic amplitude data, we argue that this type of inversion is a natural extension of the processing flow. The methodology is related to digital image-video restoration ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

New methods for time-to-event prediction are proposed by extending the Cox proportional hazards model with neural networks. Building on methodology from nested case-control studies, we propose a loss function that scales ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

We analyze a model equation arising in option pricing. This model equation takes the form of a nonlinear, nonlocal diffusion equation. We prove the well posedness of the Cauchy problem for this equation. Furthermore, we ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

We provide a rather simple proof of a homogenization result for the bidomain model of cardiac electrophysiology. Departing from a microscopic cellular model, we apply the theory of two-scale convergence to derive the ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

We investigate a class of scalar conservation laws on manifolds driven by multiplicative Gaussian (Itô) noise. The Cauchy problem defined on a Riemanian manifold is shown to be well-posed. We prove existence of generalized ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

We introduce and analyze the full [Formula: see text] and the reduced [Formula: see text] Nica–Toeplitz algebra associated to an ideal [Formula: see text] in a right-tensor [Formula: see text]-precategory [Formula: see ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

The notion of a generalized scale emerged in recent joint work with Afsar–Brownlowe–Larsen on equilibrium states on C*-algebras of right Least Common Multiple (LCM) monoids, where it features as the key datum for the ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

Objective. Mechanistic modeling of neurons is an essential component of computational neuroscience that enables scientists to simulate, explain, and explore neural activity. The conventional approach to simulation of ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

The bidomain system of degenerate reaction–diffusion equations is a well-established spatial model of electrical activity in cardiac tissue, with “reaction” linked to the cellular action potential and “diffusion” representing ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

In this paper, we extend the focused information criterion (FIC) to copula models. Copulas are often used for applications where the joint tail behavior of the variables is of particular interest, and selecting a copula ...

(Journal article / Tidsskriftartikkel / SubmittedVersion, 2019)

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

We compare three different models of two phase flow in a porous medium; the standard Darcy/Buckley–Leverett model, the Brinkman model and the Helmholtz model. These three models are all singular perturbations of the inviscid ...

(Journal article / Tidsskriftartikkel / SubmittedVersion, 2019)

We show that two approaches to equivariant deformation of C[Formula: see text]-algebras by actions of negatively curved Kählerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

Let G be an undirected simple graph. The signless Laplacian spread of G is defined as the maximum distance of pairs of its signless Laplacian eigenvalues. This paper establishes some new bounds, both lower and upper, for ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

We propose novel modifications to an anomaly detection methodology based on multivariate signal reconstruction followed by residuals analysis. The reconstructions are made using Auto Associative Kernel Regression (AAKR), ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

We present a Bayesian model for multi-resolution component separation for cosmic microwave background (CMB) applications based on Wiener filtering and/or computation of constrained realizations, extending a previously ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

Water wave attenuation by grease ice is a key mechanism for the polar regions, as waves in ice influence many phenomena such as ice drift, ice breaking and ice formation. However, the models presented so far in the literature ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

Multiphase flow simulations were run in OpenFOAM utilizing InterFoam, a volume of fluid type solver. A concentric annulus geometry was constructed and periodic boundary conditions were applied to alleviate the requirement ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

In an article from 1865, Arthur Cayley claims that given a plane algebraic curve there exists an associated 2-Hessian curve that intersects it in its sextactic points. In this paper we fix an error in Cayley's calculations ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

Life expectancies at birth are routinely computed from period life tables. When mortality is falling, such period life expectancies will typically underestimate real life expectancies, that is, life expectancies for birth ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

Deep Reinforcement Learning (DRL) has recently been proposed as a methodology to discover complex active flow control strategies [Rabault et al., “Artificial neural networks trained through deep reinforcement learning ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

The posterior predictive p value (ppp) was invented as a Bayesian counterpart to classical p values. The methodology can be applied to discrepancy measures involving both data and parameters and can, hence, be targeted to ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

For spaces of constant, linear, and quadratic splines of maximal smoothness on the Powell–Sabin 12-split of a triangle, the so-called S-bases were recently introduced. These are simplex spline bases with B-spline-like ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

We use a white noise approach to study the problem of optimal insider control of a stochastic delay equation driven by a Brownian motion B and a Poisson random measure N. In particular, we use Hida-Malliavin calculus and ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

Principal component analysis (PCA) is often used in anomaly detection and statistical process control tasks. For bivariate normal data, we prove that the minor projection (the least varying projection) of the PCA‐rotated ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

In parametric copula setups, where both the margins and copula have parametric forms, two-stage maximum likelihood estimation, often referred to as inference functions for margins, is used as an attractive alternative to ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

Each extended Cartan-Eilenberg system (H,∂) gives rise to two exact couples and one spectral sequence. We show that the canonical colim-lim interchange morphism associated to H is a surjection, and that its kernel is ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

We consider the Navier–Stokes system in two and three space dimensions perturbed by transport noise and subject to periodic boundary conditions. The noise arises from perturbing the advecting velocity field by space–time-dependent ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

We present the first application of an Artificial Neural Network trained through a Deep Reinforcement Learning agent to perform active flow control. It is shown that, in a 2D simulation of the Kármán vortex street at ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

Internal solitary waves (ISWs) propagating in a stably stratified two‐layer fluid in which the upper boundary condition changes from open water to ice are studied for grease, level, and nilas ice. The ISW‐induced current ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

We prove a necessary and sufficient condition in terms of the barycenters of a collection of polytopes for existence of coupled Kähler–Einstein metrics on toric Fano manifolds. This confirms the toric case of a coupled ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

Kinetic simulation results are presented to study the response of multi-Needle Langmuir Probes of the type used on many satellites. Simulations of isolated probes are used to parametrize the current collected as a function ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

In this paper we study the Ostrovsky–Hunter equation for the case where the flux function f(x, u) may depend on the spatial variable with certain smoothness. Our main results are that if the flux function is smooth enough ...