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Existence of global weak solutions to a symmetrically hyperbolic system with a source
Existencia de soluciones débiles globales para un sistema hiperbólico simétrico con una fuente
Palabras clave:
Symmetrically hyperbolic system, source terms, weak solution, compensated compactness method, 2000 Mathematics Subject Classification. 35D05, 35L60 (en)Sistema simétrico hiperbólico, términos fuente, solución débil, método de compacidad compensada (es)
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Abstract. In this paper the existence of global bounded weak solutions is obtained for the Cauchy problem of a symmetrically hyperbolic system with a source by using the theory of compensated compactness. This system arises in such areas as elasticity theory, magnetohydrodynamics, and enhanced oil recovery.
En este artículo se obtiene la existencia de soluciones débiles acotadas globalmente para el problema de Cauchy de un sistema simétricamente hiperbólico con una fuente, usando la teoría de la compacidad compensada. Este sistema surge en áreas como la teoría de la elasticidad, la magneto-hidrodinámica y el mejoramiento en la recuperación de petróleo.
Referencias
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