Well-Posedness and Asymptotics for Initial Boundary Value Problems of Linear Relaxation Systems in One Space Variable | Zendy

Shuyi Zhang | Zendy; Yaguang Wang | Zendy

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Well-Posedness and Asymptotics for Initial Boundary Value Problems of Linear Relaxation Systems in One Space Variable

Author(s) -

Shuyi Zhang,

Yaguang Wang

Publication year - 2004

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1213

Subject(s) - mathematics , boundary value problem , mathematical analysis , relaxation (psychology) , variable (mathematics) , space (punctuation) , initial value problem , value (mathematics) , linear system , computer science , statistics , psychology , social psychology , operating system

In this paper 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 the results of Xin and Xu in [J. Diff. Eqs. 167 (2000), 388 437] for homogeneous problems to the non-homogeneous case.

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