Year: 2004
Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 2 : pp. 163–172
Abstract
In this paper, Under the assumption that the relaxation time ε is sufficiently small, we prove the existence of the global smooth solution to the Cauchy problem for the Jin-Xin model without any smallness assumption for the initial data. The analysis is based on some a priori estimates which are obtained by the method of characteristic and the maximum principle of first-order quasilinear hyperbolic system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JPDE-5384
Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 2 : pp. 163–172
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Jin-Xin model