# A "forward-in-time" quadratic potential for systems of conservation laws

created by modena on 10 Jan 2017
modified on 27 Jun 2017

[BibTeX]

Accepted Paper

Inserted: 10 jan 2017
Last Updated: 27 jun 2017

Journal: Nonlinear Differential Equations and Applications
Year: 2017

Abstract:

A quadratic interaction potential $t \mapsto \Upsilon(t)$ for hyperbolic systems of conservation laws is constructed, whose value $\Upsilon(\bar t)$ at time $\bar t$ depends only on the present and the future profiles of the solution and not on the past ones. Such potential is used to bound the change of the speed of the waves at each interaction.