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Author(s): Vítor Matos
Julio D. Silva
Dan Marchesin
Title: Loss of hyperbolicity changes the number of wave groups in Riemann problems
Issue Date: 2016-06-01
Abstract: Themain goal of ourwork is to showthat there exists a class of 2x2 Riemann problems for which the solution comprises a singlewave group for an open set of initial conditions. This wave group comprises a 1-rarefaction joined to a 2-rarefaction, not by an intermediate state, but by a doubly characteristic shock, 1-left and 2-right characteristic. In order to ensure that perturbations of initial conditions do not destroy the adjacency of the waves, local transversality between a composite curve foliation and a rarefaction curve foliation is necessary.
Subject: Equações diferenciais, Matemática
Differential equations, Mathematics
Scientific areas: Ciências exactas e naturais::Matemática
Natural sciences::Mathematics
Document Type: Artigo em Revista Científica Internacional
Rights: openAccess
Appears in Collections:FEP - Artigo em Revista Científica Internacional

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