Publicação
Nonlinear Hyperbolicity
| Resumo: | 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). |
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| Autores principais: | Correia, Joaquim |
| Assunto: | hyperbolic conservation law shock wave entropy weak solution measure-valued solution dissipation dispersion diffusion capilllarity Burgers equation KdV-type equation |
| Ano: | 2014 |
| País: | Portugal |
| Tipo de documento: | palestra |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Évora |
| Idioma: | inglês |
| Origem: | Repositório Científico da Universidade de Évora |
| Resumo: | 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). |
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