7 citations · 10 across the 5 of their papers we have counts for
9 papers
The Cauchy Problem for a non Strictly Hyperbolic System of Conservation Laws Arising in Polymer Flooding
Graziano Guerra, Wen Shen
We study the Cauchy problem of a system of conservation laws modeling two--phase flow of polymer flooding in rough porous media with possibly discontinuous permeability…
Entropy Admissibility of the Limit Solution for a Nonlocal Model of Traffic Flow
Alberto Bressan, Wen Shen
We consider a conservation law model of traffic flow, where the velocity of each car depends on a weighted average of the traffic density ahead. The averaging kernel is of expo…
A Posteriori Error Estimates for Self-Similar Solutions to the Euler Equations
Alberto Bressan, Wen Shen
The main goal of this paper is to analyze a family of "simplest possible" initial data for which, as shown by numerical simulations, the incompressible Euler equations have multipl…
On Traffic Flow with Nonlocal Flux: a Relaxation Representation
Alberto Bressan, Wen Shen
We consider a conservation law model of traffic flow, where the velocity of each car depends on a weighted average of the traffic density ahead. The averaging kernel is of expo…
Stationary Wave Profiles for Nonlocal Particle Models of Traffic Flow on Rough Roads
Jereme Chien, Wen Shen
We study a nonlocal particle model describing traffic flow on rough roads. In the model, each driver adjusts the speed of the car according to the condition over an interval in the…
Vanishing Viscosity Solutions for Conservation Laws with Regulated Flux
Alberto Bressan, Graziano Guerra, Wen Shen
In this paper we introduce a concept of "regulated function" of two variables, which reduces to the classical definition when is independent of . We then consider a…