The nature of viscous dissipation in systems of conservation laws
Wednesday, July 22, 2009 - 9:00am - 9:50am
In his celebrated thesis, S. Kawashima gave a framework for the analysis of the Cauchy problem for nonlinear viscous systems of conservation laws. Some assumptions are quite natural, while other ones are mysterious and require cumbersome calculations. We clarify the situation, by introducing a set of assumption which is natural and very easy to verify. We derive an existence and uniqueness result of strong solutions, in a slightly larger class than the one known before.