Well-Posedness and Asymptotics for Initial Boundary Value Problems of Linear Relaxation Systems in One Space Variable
SHU-YI ZHANG
Jiao Tong University, Shanghai, ChinaYa-Guang Wang
Jiao Tong University, Shanghai, China
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Abstract
We study the well-posedness and relaxation limit for the initial boundary value problem of a general linear hyperbolic system with a relaxation term in one space variable. We mainly consider the asymptotic convergence and the boundary layer behavior under the sub-characteristic condition and the stiff Kreiss condition when the relaxation rate goes to zero, which generalizes recent results of Xin and Xu [J. Diff. Eqs. 167 (2000) 388–437] for homogeneous problems to the non-homogeneous case.
Cite this article
SHU-YI ZHANG, Ya-Guang Wang, Well-Posedness and Asymptotics for Initial Boundary Value Problems of Linear Relaxation Systems in One Space Variable. Z. Anal. Anwend. 23 (2004), no. 3, pp. 607–630
DOI 10.4171/ZAA/1213