152 citations · 194 across the 26 of their papers we have counts for
34 papers
Upwind filtering of scalar conservation laws
Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro
We study a class of multi-dimensional non-local conservation laws of the form , where the standard local divergence $\operatornam…
The continuum limit of non-local Follow-the-Leader models
Helge Holden, Nils Henrik Risebro
We study a generalized Follow-the-Leader model where the driver considers the position of an arbitrary but finite number of vehicles ahead, as well as the position of the vehicle d…
A nonlocal Lagrangian traffic flow model and the zero-filter limit
Giuseppe M. Coclite, Kenneth H. Karlsen, Nils Henrik Risebro
In this study, we start from a Follow-the-Leaders model for traffic flow that is based on a weighted harmonic mean (in Lagrangian coordinates) of the downstream car density. This r…
Well-posedness theory for nonlinear scalar conservation laws on networks
Ulrik Skre Fjordholm, Markus Musch, Nils Henrik Risebro
We consider nonlinear scalar conservation laws posed on a network. We establish stability, and thus uniqueness, for weak solutions satisfying the entropy condition. We apply…
Singular Diffusion with Neumann boundary conditions
Giuseppe Maria Coclite, Helge Holden, Nils Henrik Risebro
In this paper we develop an existence theory for the nonlinear initial-boundary value problem with singular diffusion , w…
Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux
Jayesh Badwaik, Christian Klingenberg, Nils Henrik Risebro +1
We consider conservation laws with discontinuous flux where the initial datum, the flux function, and the discontinuous spatial dependency coefficient are subject to randomness. We…