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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:198

Article

Amadori, D ; Gosse, L ; Guerra, G

关键词: balance laws;    nonstrict hyperbolicity;    nonconservative (NC) products;    well-balanced (WB) Godunov scheme;   

DOI  :  10.1016/j.jde.2003.10.004

来源: Elsevier

【 摘 要 】

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.

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