¹Nanjing University of Aeronautics and Astronautics, Nanjing, China. Email: gq_song2005@nuaa.edu.cn

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.

Key words: Symmetrically hyperbolic system, source terms, weak solution, compensatedcompactness method.

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 areas como la teoría de la elasticidad, la magneto-hidrodinámica y el mejoramiento en la recuperación de petróleo.

Palabras clave: Sistema simétrico hiperbólico, términos fuente, solución débil, método de compacidad compensada.

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