Detalhes do Documento

Nonlinear Hyperbolicity

Data: 2013

Identificador Persistente: http://hdl.handle.net/10174/10300

Origem: Repositório Científico da Universidade de Évora

Assunto(s): hyperbolic conservation law; shock wave; entropy weak solution; measure-valued solution; dissipation; dispersion; diffusion; capilllarity; Burgers equation; KdV-type equation

Descrição
In this presentation we attempt to stress two points of view on hyperbolic conservation laws: modelization and analytical theory. And, how they are sensitively related. While appliers are concerned with reliability, integrity or failure of solutions, mathematicians are concerned with non uniqueness, selection of physically relevant solutions or entropy criteria. In the modeling process, within simplifications, some “spurious terms” are usually discarded from the equations and so, in order to address uniqueness, a crucial information is lost. We discuss here the relevant dissipative or dispersive effect of some of those small scale terms (zero singular limits).

Tipo de Documento Palestra
Idioma Inglês