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Existence of global entropy solutions to a non-strictly hyperbolic system with a source
Schlagworte:
Entropy solution, Kinetic formulation, The maximum principle, 2000 Mathematics Subject Classification, Primary: 35D05 (en)Downloads
Abstract. In this paper we use the theory of compensated compactness coupled with some basic ideas of the Kinetic formulation to establish an existence theorem for global entropy solutions to the non-strictly hyperbolic system with a source.
ρ t + (ρ u)x = U (ρ,u,x,t)
ut + (u2/2 + P (ρ))x = V (ρ,u,x,t)
En este artículo usamos la teoría de la compacidad compensada asociada con algunas ideas básicas de formulación Kinetica para establecer un teorema de existencia para soluciones de entropía global del sistema no estrictamente hiperbólico con fuente.
ρ t + (ρ u)x = U (ρ,u,x,t)
ut + (u2/2 + P (ρ))x = V (ρ,u,x,t)
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