Colombeau's theory and shock wave solutions fo systems of PDEs

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorVillarreal, Francisco-
Data de aceite: dc.date.accessioned2025-08-21T15:23:09Z-
Data de disponibilização: dc.date.available2025-08-21T15:23:09Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2000-12-01-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/225294-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/225294-
Descrição: dc.descriptionF. Villarrea In this article we study the existence of shock wave solutions for systems of partial differential equations of hydrodynamics with viscosity in one space dimension in the context of Colombeau's theory of generalized functions. This study uses the equality in the strict sense and the association of generalized functions (that is the weak equality). The shock wave solutions are given in terms of generalized functions that have the classical Heaviside step function as macroscopic aspect. This means that solutions are sought in the form of sequences of regularizations to the Heaviside function that have to satisfy part of the equations in the strict sense and part of the equations in the sense of association. ©2000 Southwest Texas State University and University of North Texas.-
Descrição: dc.descriptionDepartamento de Matemâtica FEIS-UNESP, 15385-000, Ilha Solteira, Sao Paulo-
Descrição: dc.descriptionDepartamento de Matemâtica FEIS-UNESP, 15385-000, Ilha Solteira, Sao Paulo-
Idioma: dc.languageen-
Relação: dc.relationElectronic Journal of Differential Equations-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectDistribution-
Palavras-chave: dc.subjectGeneralized function-
Palavras-chave: dc.subjectShock wave solution-
Título: dc.titleColombeau's theory and shock wave solutions fo systems of PDEs-
Tipo de arquivo: dc.typelivro digital-
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