N
Nils Henrik Risebro
Researcher at University of Oslo
Publications - 156
Citations - 5029
Nils Henrik Risebro is an academic researcher from University of Oslo. The author has contributed to research in topics: Conservation law & Initial value problem. The author has an hindex of 35, co-authored 154 publications receiving 4642 citations. Previous affiliations of Nils Henrik Risebro include University of Würzburg & University of Bergen.
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Higher order finite difference schemes for the magnetic induction equations with resistivity
TL;DR: In this article, high order accurate and stable finite difference schemes for the initial-boundary value problem, associated with the magnetic induction equation with resistivity, were designed. But the schemes were not shown to be energy stable.
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Operator splitting for the Benjamin-Ono equation
TL;DR: In this paper, the convergence of both Godunov and Strang splitting for the Benjamin-Ono equation was shown. But the convergence was not shown for the case where the initial data were sufficiently regular.
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A Convergent Finite Difference Scheme for the Variational Heat Equation
TL;DR: In this article, a finite difference scheme for a transformed, possibly degenerate version of the variational heat equation is presented and a subsequence of the numerical solutions converges to a weak solution.
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Spatially periodic solutions for gas flows with pressure depending on a variable coefficient
TL;DR: In this article, the global existence of spatially periodic solutions for certain models of gas flow in Lagrangian coordinates is studied, where the pressure has the form, where v, as usual, is the specific volume, and, are smooth functions of the variable coefficient, which is assumed to satisfy suitable smoothness and decay properties, in particular,, uniformly, as t → 0.
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Singular Diffusion with Neumann boundary conditions
TL;DR: In this article, the authors developed an existence theory for the nonlinear initial-boundary value problem with singular diffusion with Neumann boundary conditions, and showed that there exists an entropy solution for this problem.