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The Initial Boundary Value Problems for Hyperbolic Conservation Laws with Relaxation

โœ Scribed by Shinya Nishibata

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
655 KB
Volume
130
Category
Article
ISSN
0022-0396

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โœฆ Synopsis

The hyperbolic conservation laws with relaxation appear in many physical models such as those for gas dynamics with thermo-non-equilibrium, elasticity with memory, flood flow with friction, traffic flow, etc.. The main concern of this article is the long-time effect of the relaxations on the boundary layer behaviors. In this article, we investigate this problem for a simple model of 2_2 systems. Conditions relating the boundary data and far field states are found for the existence of the boundary layers. Also, it is proven that the boundary layers thus obtained are nonlinearly stable.

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