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A New Application of the Flux Approximation Method on Hyperbolic Conservation Systems
Department of Mathematics, Hangzhou Normal University, Hangzhou, China
Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia
Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia
Department of Mathematics, Hangzhou Normal University, Hangzhou, China
- 1 Department of Mathematics, Hangzhou Normal University, Hangzhou, China
- 2 Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia
- 3 Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia
- 4 Department of Mathematics, Hangzhou Normal University, Hangzhou, China
Advances in Pure Mathematics·Volume 03 (2013)·Pages 698–702·Published 28 November 2013·DOI10.4236/apm.2013.39095
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Abstract
In this paper, we first summarize several applications of the flux approximation method on hyperbolic conservation systems. Then, we introduce two hyperbolic conservation systems (2.1) and (2.2) of Temple ’ s type, and prove that the global weak solutions of each system could be obtained by the limit of the linear combination of two systems.
KeywordsFlux ApproximationViscosity ApproximationHyperbolic Conservation LawsWeak SolutionsCompensated Compactness Method
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