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author:

Shao, Zhi-Qiang (Shao, Zhi-Qiang.) [1]

Indexed by:

EI

Abstract:

In this paper, we investigate the asymptotic behavior of global classical solutions to the mixed initial-boundary value problem with small BV data for linearly degenerate quasilinear hyperbolic systems with general nonlinear boundary conditions in the half space {(t,x)|t]≤0,x≤0}. Based on the existence result on the global classical solution, we prove that when t tends to the infinity, the solution approaches a combination of C 1 traveling wave solutions, provided that the C 1 norm of the initial and boundary data is bounded and the BV norm of the initial and boundary data is sufficiently small. Applications to quasilinear hyperbolic systems arising in physics and mechanics, particularly to the system describing the motion of the relativistic string in the Minkowski space-time R1+n, are also given. © 2009 Springer Science+Business Media B.V.

Keyword:

Asymptotic analysis Geometry Initial value problems

Community:

  • [ 1 ] [Shao, Zhi-Qiang]Department of Mathematics, Fuzhou University, Fuzhou 350002, China

Reprint 's Address:

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Source :

Journal of Elasticity

ISSN: 0374-3535

Year: 2010

Issue: 1

Volume: 98

Page: 25-64

1 . 1 6

JCR@2010

1 . 8 0 0

JCR@2023

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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