LINEAR AND NONLINEAR EXPONENTIAL STABILITY OF TRAVELING WAVES FOR HYPERBOLIC SYSTEMS WITH RELAXATION

Tong Li; Yaping Wu

doi:10.4310/CMS.2009.v7.n3.a3

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LINEAR AND NONLINEAR EXPONENTIAL STABILITY OF TRAVELING WAVES FOR HYPERBOLIC SYSTEMS WITH RELAXATION

Journal article

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LINEAR AND NONLINEAR EXPONENTIAL STABILITY OF TRAVELING WAVES FOR HYPERBOLIC SYSTEMS WITH RELAXATION

Tong Li and Yaping Wu

Communications in mathematical sciences, Vol.7(3), pp.571-593

09/01/2009

DOI: 10.4310/CMS.2009.v7.n3.a3

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Abstract

This paper is concerned with the linear and nonlinear exponential stability of traveling wave solutions for a system of quasi-linear hyperbolic equations with relaxation. By applying C-0-semigroup theory and detailed spectral analysis, we prove the linear exponential stability of the traveling waves for the quasilinear systems and nonlinear exponential stability of the waves for semilinear systems, i.e., the Jin-Xin relaxation models, in some exponentially weighted spaces without assuming that the wave strengths are small.

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

Details

Title: Subtitle: LINEAR AND NONLINEAR EXPONENTIAL STABILITY OF TRAVELING WAVES FOR HYPERBOLIC SYSTEMS WITH RELAXATION
Creators: Tong Li - Capital Normal University
Yaping Wu - Capital Normal University
Resource Type: Journal article
Publication Details: Communications in mathematical sciences, Vol.7(3), pp.571-593
DOI: 10.4310/CMS.2009.v7.n3.a3
ISSN: 1539-6746
eISSN: 1945-0796
Publisher: INT PRESS BOSTON, INC
Number of pages: 23
Grant note: 1092006 / Beijing NSF 10671131 / NSF of China Institute of Mathematics and Interdisciplinary Sciences of Capital Normal University
Language: English
Date published: 09/01/2009
Academic Unit: Mathematics
Record Identifier: 9984241149002771

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