We consider the Cauchy problem for the 2 x 2 nonstrictly hyperbolic system {a(t) = 0, {u(t) +f (a, u)(x) - g(a, u)a(x) = 0, (a, u) (t = 0, (.)) = (a(0), u(0)). 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. (C) 2004 Elsevier Inc. All rights reserved.

Amadori, D., Gosse, L., Guerra, G. (2004). Godunov-type approximation for a general resonant balance law with large data. JOURNAL OF DIFFERENTIAL EQUATIONS, 198(2), 233-274 [10.1016/j.jde.2003.10.004].

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

GUERRA, GRAZIANO
2004

Abstract

We consider the Cauchy problem for the 2 x 2 nonstrictly hyperbolic system {a(t) = 0, {u(t) +f (a, u)(x) - g(a, u)a(x) = 0, (a, u) (t = 0, (.)) = (a(0), u(0)). 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. (C) 2004 Elsevier Inc. All rights reserved.
Articolo in rivista - Articolo scientifico
balance laws; nonstrict hyperbolicity; nonconservative (NC) products; well-balanced (WB) Godunov scheme
English
10-apr-2004
198
2
233
274
none
Amadori, D., Gosse, L., Guerra, G. (2004). Godunov-type approximation for a general resonant balance law with large data. JOURNAL OF DIFFERENTIAL EQUATIONS, 198(2), 233-274 [10.1016/j.jde.2003.10.004].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/1549
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