LARGE VISCOUS SOLUTIONS FOR SMALL DATA IN SYSTEMS OF CONSERVATION LAWS THAT CHANGE TYPE

• Tipo: Artigo em Revista Científica Internacional
• Data: 2008

Autores

Vítor Matos (Autor) FEP; Dan Marchesin (Autor) Outra

Revista

Título: Journal of Hyperbolic Differential Equations

Vol. 5 Nº 2

Páginas: 257-278

ISSN: 0219-8916

Editora: World Scientific

Indexação

ISI Web of Knowledge - 3 Citações

ISI Web of Science

Scopus - 3 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

CORDIS: Ciências Físicas > Matemática

Outras Informações

ID Authenticus: P-003-Z0Z

DOI: 10.1142/S0219891608001477

Abstract (EN): We study a quadratic system of conservation laws with an elliptic region. The second order terms in the fluxes correspond to type IV in Schaeffer and Shearer classification. There exists a special singularity for the EDOs associated to traveling waves for shocks. In our case, this singularity lies on the elliptic boundary. We prove that high amplitude Riemann solutions arise from Riemann data with arbitrarily small amplitude in the hyperbolic region near the special singularity. For such Riemann data there is no small amplitude solution. This behavior is related to the bifurcation of one of the codimension-3 nilpotent singularities of planar ODEs studied by Dumortier, Roussarie and Sotomaior.

Idioma: Português

Tipo (Avaliação Docente): Científica