Resonances for a Contact Wave in Systems of Conservation Laws
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Resonances for a Contact Wave in Systems of Conservation Laws
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| Id. |
46897064 |
| Idioma |
inglés
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| Titulo |
Resonances for a Contact Wave in Systems of Conservation Laws |
| Autor(es) |
Aparecido J. de Souza
Dan Marchesin
Campina Gr
Resumo Ondas
De Contato
Ressonantes Em
Sistemas De
Leis De
Conserva C
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| Localización |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.9141
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
. Systems of three or more conservation laws in which a conserved quantity is passively transported have a contact field; sometimes, the contact speed and the speed of one of the nonlinear waves coincide on a surface in state space. We prove that this resonance surface contains the equilibrium points of the contact field. We construct locally the Riemann solution for an example of such a system of three equations, which arises in flow in petroleum reservoirs. Solutions resulting from the resonating waves give rise to new objects, which we call wave surfaces. The complete Riemann solution is obtained by putting together transversely the wave surface and the remaining non resonant waves. In this example, the contact field has saddle points, and a new wave appears, a transitional contact wave. In the presence of this new wave, the Riemann solution for the system of three equations possesses four rather than three wave groups. KEY WORDS: Contact wave, linearly degenerate field, Riemann sol...
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| Tipo |
application/postscript
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| Palabras clave |
KEY WORDS
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| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Formatos |
application/postscript
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://www.fluid.impa.br/Publications/resonances.ps
[References] 10.1.1.40.106
[References] 10.1.1.58.7228
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| Fecha de contribución |
13-ago-2009 |
| Contacto |
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