Diagonal hyperbolic systems with large and monotone data Part I: Global continuous solutions - Mathematical PhysicsReport as inadecuate




Diagonal hyperbolic systems with large and monotone data Part I: Global continuous solutions - Mathematical Physics - Download this document for free, or read online. Document in PDF available to download.

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.



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

Source: https://arxiv.org/



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