2000 The semigroup generated by a Temple class system with non-convex flux function
Stefano Bianchini
Differential Integral Equations 13(10-12): 1529-1550 (2000). DOI: 10.57262/die/1356061138

Abstract

We consider the Cauchy problem for a nonlinear $n \times n$ system of conservation laws of Temple class, i.e., with coinciding shock and rarefaction curves and with a coordinate system made of Riemann invariants. Without any assumption on the convexity of the flux function, we prove the existence of a semigroup made of weak solutions of the equations and depending Lipschitz continuously on the initial data with bounded total variation.

Citation

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Stefano Bianchini. "The semigroup generated by a Temple class system with non-convex flux function." Differential Integral Equations 13 (10-12) 1529 - 1550, 2000. https://doi.org/10.57262/die/1356061138

Information

Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 1043.35110
MathSciNet: MR1787080
Digital Object Identifier: 10.57262/die/1356061138

Subjects:
Primary: 35L65
Secondary: 35D05 , 35L67 , 47H20

Rights: Copyright © 2000 Khayyam Publishing, Inc.

Vol.13 • No. 10-12 • 2000
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