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Type: Artigo de periódico
Title: A Geometric Study Of Shocks In Equations That Change Type
Author: Keyfitz B.L.
Lopes-Filho M.d.C.
Abstract: In this paper we validate the generalized geometric entropy criterion for admissibility of shocks in systems which change type. This condition states that a shock between a state in a hyperbolic region and one in a nonhyperbolic region is admissible if the Lax geometric entropy criterion, based on the number of characteristics entering the shock, holds, where now the real part of a complex characteristic replaces the characteristic speed itself. We test this criterion by a nonlinear inviscid perturbation. We prove that the perturbed Cauchy problem in the elliptic region has a solution for a uniform time if the data lie in a suitable class of analytic functions and show that under small perturbations of the data a perturbed shock and a perturbed solution in the hyperbolic region exist, also for a uniform time. © 1994 Plenum Publishing Corporation.
Editor: Kluwer Academic Publishers-Plenum Publishers
Rights: fechado
Identifier DOI: 10.1007/BF02218855
Date Issue: 1994
Appears in Collections:Unicamp - Artigos e Outros Documentos

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