91 citations · 512 across the 65 of their papers we have counts for
7 papers · 2 filters
Infinite Horizon Noncooperative Differential Games
Alberto Bressan, Fabio S. Priuli
For a non-cooperative differential game, the value functions of the various players satisfy a system of Hamilton-Jacobi equations. In the present paper, we consider a class of infi…
An Optimal Transportation Metric for Solutions of the Camassa-Holm Equation
Alberto Bressan, Massimo Fonte
In this paper we construct a global, continuous flow of solutions to the Camassa-Holm equation on the entire space . Our solutions are conservative, in the sense that the tota…
An Instability of the Godunov Scheme
Alberto Bressan, Helge Kristian Jenssen, Paolo Baiti
We construct a solution to a strictly hyperbolic system of conservation laws, showing that the Godunov scheme \cite{Godunov59} can produce an arbitrarily large amount o…
On Asymptotic Variational Wave Equations
Alberto Bressan, Ping Zhang, Yuxi Zheng
We investigate the equation where is a given smooth function. Typically or . This equation models unidirectional…
Global solutions of the Hunter-Saxton equation
Alberto Bressan, Adrian Constantin
We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equations modeling nematic liquid crystals. A new distance functional, determ…
Global Conservative Solutions to a Nonlinear Variational Wave Equation
Alberto Bressan, Yuxi Zheng
We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation , for initial data of finit…