Time-asymptotic stability of boundary-layers for a hyperbolic relaxation system

Authors
Liu, HL Yong, WA
Citation
Hl. Liu et Wa. Yong, Time-asymptotic stability of boundary-layers for a hyperbolic relaxation system, COMM PART D, 26(7-8), 2001, pp. 1323-1343
Citations number
19
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302 → ACNP
Volume
26
Issue
7-8
Year of publication
2001
Pages
1323 - 1343
Database
ISI
SICI code
0360-5302(2001)26:7-8<1323:TSOBFA>2.0.ZU;2-H
Abstract
This work is concerned with time-asymptotic stability of boundary-layers fo r a typical hyperbolic relaxation system. Under a nonclassical requirement characterizing a class of boundary conditions for the typical system, we pr ove the global (in time) existence and asymptotic decay of solutions with i nitial data close to the steady solutions or relaxation boundary-layers.