We consider the Cauchy problem for the 2 x 2 nonstrictly hyperbolic system [...] For possiblylarge, 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 Kruz?kov's techniques

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

Gosse L;
2004

Abstract

We consider the Cauchy problem for the 2 x 2 nonstrictly hyperbolic system [...] For possiblylarge, 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 Kruz?kov's techniques
2004
Istituto Applicazioni del Calcolo ''Mauro Picone''
Inglese
198
233
274
Sì, ma tipo non specificato
Balance laws
Nonstrict hyperbolicity
Nonconservative (NC) products
Well-balanced (WB) Godunov scheme
1
info:eu-repo/semantics/article
262
Amadori D.; Gosse L.; Guerra G.
01 Contributo su Rivista::01.01 Articolo in rivista
none
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/161604
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