69 citations · 148 across the 12 of their papers we have counts for
5 papers · 2 filters
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…
BV instability for the Lax-Friedrichs scheme
Paolo Baiti, Alberto Bressan, Helge Kristian Jenssen
It is proved that discrete shock profiles (DSPs) for the Lax-Friedrichs scheme for a system of conservation laws do not necessarily depend continuously in BV on their speed. We con…