A local type estimate will be proved here for general 2×2 hyperbolic systems of conservation laws with strong dissipative term. Following the idea of [D. Serre and L. Xsiao. J. Partial Diff. Eqs., 1997], this result will be achieved by using as a preliminary step the convergence in the mean which is an immediate consequence of the result of [P. Marcati and B. Rubino. J. Differential Equations, 2000] obtained by using the compensated compactness theory.
Asymptotic behavior and strong convergence for hyperbolic systems of conservation laws with damping
LATTANZIO, CORRADO;RUBINO, BRUNO
2004-01-01
Abstract
A local type estimate will be proved here for general 2×2 hyperbolic systems of conservation laws with strong dissipative term. Following the idea of [D. Serre and L. Xsiao. J. Partial Diff. Eqs., 1997], this result will be achieved by using as a preliminary step the convergence in the mean which is an immediate consequence of the result of [P. Marcati and B. Rubino. J. Differential Equations, 2000] obtained by using the compensated compactness theory.File in questo prodotto:
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