The existence of multi-dimensional shock fronts /

The short-time existence of discontinuous shock front solutions of a system of conservation laws in several space variables is proved below under suitable hypotheses. These shock front solutions are nonlinear progressing wave solutions associated with the nonlinear wave fields. The results developed...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Majda, Andrew, 1949-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©1983.
Colección:Memoirs of the American Mathematical Society ; no. 281.
Temas:
Shock waves.
Differential equations, Hyperbolic > Numerical solutions.
Conservation laws (Physics)
Ondes de choc.
Équations différentielles hyperboliques > Solutions numériques.
Lois de conservation (Physique)
Differential equations, Hyperbolic > Numerical solutions
Shock waves
Acceso en línea:Texto completo
Descripción
Sumario:The short-time existence of discontinuous shock front solutions of a system of conservation laws in several space variables is proved below under suitable hypotheses. These shock front solutions are nonlinear progressing wave solutions associated with the nonlinear wave fields. The results developed here apply to the equations of compressible fluid flow in two or three space variables with standard equations of state where the initial data can have shock discontinuities of arbitrary strength which lie on a given smooth initial surface with arbitrary geometry.
Descripción Física:1 online resource (v, 93 pages)
Bibliografía:Includes bibliographical references (page 93).
ISBN:9781470406912
1470406918
ISSN:1947-6221 ;
0065-9266

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