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1997 The semigroup generated by a Temple class system with large data
Paolo Baiti, Alberto Bressan
Differential Integral Equations 10(3): 401-418 (1997).

Abstract

We consider the Cauchy problem $$ u_t+\big[F(u)\big]_x=0,\qquad u(0,x)=\bar u(x)\tag{*} $$ for a nonlinear $n\times n$ system of conservation laws with coinciding shock and rarefaction curves. Assuming the existence of a coordinates system made of Riemann invariants, we prove the existence of a weak solution of $(*)$ that depends in a Lipschitz continuous way on the initial data, in the class of functions with arbitrarily large but bounded total variation.

Citation

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Paolo Baiti. Alberto Bressan. "The semigroup generated by a Temple class system with large data." Differential Integral Equations 10 (3) 401 - 418, 1997.

Information

Published: 1997
First available in Project Euclid: 2 May 2013

zbMATH: 0890.35083
MathSciNet: MR1744853

Subjects:
Primary: 35L65
Secondary: 47H20

Rights: Copyright © 1997 Khayyam Publishing, Inc.

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Vol.10 • No. 3 • 1997
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