Diagonal hyperbolic systems with large and monotone data Part I: Global continuous solutions - Mathematical PhysicsReportar como inadecuado




Diagonal hyperbolic systems with large and monotone data Part I: Global continuous solutions - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: In this paper, we study diagonal hyperbolic systems in one space dimension.Based on a new gradient entropy estimate, we prove the global existence of acontinuous solution, for large and non-decreasing initial data. We remark thatthese results cover the case of systems which are hyperbolic but not strictlyhyperbolic. Physically, this kind of diagonal hyperbolic systems appearsnaturally in the modelling of the dynamics of dislocation densities.



Autor: Ahmad El Hajj MAPMO, Cermics, Régis Monneau CERMICS

Fuente: https://arxiv.org/







Documentos relacionados