dc.contributor.author Wang, Wei-Cheng ( ) dc.date.accessioned 2020-08-11T21:40:52Z dc.date.available 2020-08-11T21:40:52Z dc.date.issued 2002-06-18 dc.identifier.citation Wang, W. C. (2002). Nonlinear stability of centered rarefaction waves of the Jin-Xin relaxation model for $2 \times 2$ conservation laws. Electronic Journal of Differential Equations, 2002(57), pp. 1-20. en_US dc.identifier.issn 1072-6691 dc.identifier.uri https://digital.library.txstate.edu/handle/10877/12359 dc.description.abstract We study the asymptotic equivalence of the Jin-Xin relaxation model and its formal limit for genuinely nonlinear 2 x 2 conservation laws. The initial data is allowed to have jump discontinuities corresponding to centered rarefaction waves, which includes Riemann data connected by rarefaction curves. We show that, as long as the initial data is a small perturbation of a constant state, the solution for the relaxation system exists globally in time and converges, in the zero relaxation limit, to the solution of the corresponding conservation law uniformly except for an initial layer. en_US dc.format Text dc.format.extent 20 pages dc.format.medium 1 file (.pdf) dc.language.iso en en_US dc.publisher Southwest Texas State University, Department of Mathematics en_US dc.source Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. dc.subject Jin-Xin relaxation model en_US dc.subject Conservation laws en_US dc.subject Centered rarefaction wave en_US dc.title Nonlinear Stability of Centered Rarefaction Waves of the Jin-Xin Relaxation Model for 2 x 2 Conservation Laws en_US dc.type publishedVersion txstate.documenttype Article dc.rights.license This work is licensed under a Creative Commons Attribution 4.0 International License. dc.description.department Mathematics
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