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author:

Shao, Z.-Q. (Shao, Z.-Q..) [1]

Indexed by:

Scopus

Abstract:

This work is a continuation of our previous work [Z.Q. Shao, Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data, Nonlinear Anal. Real World Appl. 11 (2010) 3791-3808]. In the present paper we investigate the global structure stability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws under small BV perturbations of the initial data, where the Riemann solution only contains the shocks and contact discontinuities, and at least a shock wave. The perturbations are in BV but they are assumed to be C1-smooth, with bounded and possibly large C1-norms. We get a lower bound of the lifespan of the piecewise C1 solution to a class of the generalized Riemann problem, which can be regarded as a small BV perturbation of the corresponding Riemann problem. Some applications to quasilinear hyperbolic systems of conservation laws arising in physics, particularly to one-dimensional Euler equations of gas dynamics for a compressible, inviscid, non-heat conducting gas in Eulerian coordinates, are also given. © 2011 Elsevier Inc.

Keyword:

Classical discontinuous solution; Contact discontinuity; Generalized Riemann problem; Lifespan; Quasilinear hyperbolic system of conservation laws; Shock wave

Community:

  • [ 1 ] [Shao, Z.-Q.]Department of Mathematics, Fuzhou University, Fuzhou 350002, China

Reprint 's Address:

  • [Shao, Z.-Q.]Department of Mathematics, Fuzhou University, Fuzhou 350002, China

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Source :

Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Year: 2012

Issue: 2

Volume: 387

Page: 698-720

1 . 0 5

JCR@2012

1 . 2 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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