High amplitude solutions for small data in pairs of conservation laws that change type

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2008

Autores

Vítor Matos (Autor) FEP; Marchesin, D (Autor) Outra

Ata de Conferência Internacional

Título: HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS: PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON HYPERBOLIC PROBLEMS

Páginas: 711-719

11th International Conference on Hyperbolic Problems

Lyon, FRANCE, JUL 17-21, 2006

Indexação

ISI Web of Knowledge - 2 Citações

Outras Informações

ID Authenticus: P-00K-JCZ

DOI: 10.1007/978-3-540-75712-2_72

Abstract (EN): We prove that high amplitude Riemann solutions arise from Riemann data with arbitrarily small amplitude in the hyperbolic :region near the point where the rarefaction curves are tangent to the elliptic region. These solutions arise in a quadratic system of conservation laws with a compact elliptic region. The second-order terms in the fluxes correspond to type IV in Schaeffer and Shearer classification. For such Riemann data there is no small amplitude solution. Whitney perturbations of the fluxes do not change the result. Thus, we understand one possible consequence for violating strict hyperbolicity in the neighborhood of the Riernann data points. The violation of this hypothesis in Lax's renowned theorem may yield large amplitude solutions for small data.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9