We consider the Cauchy problem for a 2x2 nonstrictly hyperbolic system. For possibly large, discontinuous and resonant data, the generalized solution to the Riemann problem is introduced, interaction estimates are carried out using an original change of variables and the convergence of Godunov approximations is shown. Uniqueness is addressed relying on a suitable extension of Kruzkov’s techniques.

Godunov-type approximation for a general resonant balance law with large data

AMADORI, DEBORA;
2004

Abstract

We consider the Cauchy problem for a 2x2 nonstrictly hyperbolic system. For possibly large, discontinuous and resonant data, the generalized solution to the Riemann problem is introduced, interaction estimates are carried out using an original change of variables and the convergence of Godunov approximations is shown. Uniqueness is addressed relying on a suitable extension of Kruzkov’s techniques.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/21181
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