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.
Papers
More filters
Book
Front Tracking for Hyperbolic Conservation Laws
Helge Holden,Nils Henrik Risebro +1 more
TL;DR: In this paper, the authors presented the solution of the Riemann problem for the 3 3 Euler equations of gas dynamics, and the main existence theorem in Chapt. 4, Theorem 4.3, now resembles the one-dimensional case.
Journal ArticleDOI
A mathematical model of traffic flow on a network of unidirectional roads
Helge Holden,Nils Henrik Risebro +1 more
TL;DR: In this paper, the authors introduce a model that describes heavy traffic on a network of unidirectional roads, consisting of a system of initial-boundary value problems for nonlinear conservation laws.
MonographDOI
Splitting methods for partial differential equations with rough solutions : analysis and MATLAB programs
Journal ArticleDOI
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
TL;DR: In this article, the authors study nonlinear degenerate parabolic equations where the flux function $f(x,t,u) does not depend Lipschitz continuously on the spatial location of the initial value.
Journal ArticleDOI
A Theory of L 1 -Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux
TL;DR: In this paper, a general framework for the study of L1 contractive semigroups of solutions to conservation laws with discontinuous flux is proposed, where the fluxes fl, fr are mainly assumed to be continuous.