On a nonlinear hyperbolic parabolic equation
- Autores: Gerard Gagneux
- Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort
, 2003, ISBN 84-96214-04-4, págs. 289-296 - Idioma: inglés
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Resumen
We are concerned with existence, uniqueness and stability of a strong entropy solution for a Cauchy-Dirichlet problem, associated to the following scalar conservation law ut-_'(u)-div(_(u)G) = 0 on a bounded domain of IRn+1. The problem particularity is that ' is a nondecreasing function, constant on an interval [0, 'c]. Therefore, we study a free boundary problem which degenerates, for some solution values, into a nonlinear hyperbolic problem with boundary conditions.
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