Linear and nonlinear exponential stability of traveling waves for hyperbolic systems with relaxation
Li, Tong ; Wu, Yaping
Commun. Math. Sci., Tome 7 (2009) no. 1, p. 571-593 / Harvested from Project Euclid
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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 C0-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 semi-linear systems, i.e., the Jin-Xin relaxation models, in some exponentially weighted spaces without assuming that the wave strengths are small.
Publié le : 2009-09-15
Classification:  Exponential stability,  traveling waves,  quasi-linear hyperbolic systems,  Jin-Xin relaxation models,  spectral analysis,  weighted spaces,  35B30,  35B40,  35L65,  76L05,  90B20 
@article{1256562813,
     author = {Li, Tong and Wu, Yaping},
     title = {Linear and nonlinear exponential stability of traveling waves for hyperbolic
					systems with relaxation},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 571-593},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256562813}
}

Li, Tong; Wu, Yaping. Linear and nonlinear exponential stability of traveling waves for hyperbolic
					systems with relaxation. Commun. Math. Sci., Tome 7 (2009) no. 1, pp.  571-593. http://gdmltest.u-ga.fr/item/1256562813/