Relaxation limit for piecewise smooth solutions to systems of conservation laws

Journal of Differential Equations

Volumn 162, Issue 1, 2000, Pages 140-173

  Xu, Wen Qing ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034688726     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1999.3653     Document Type: Article

References (10)

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3. Jin S., Xin Z. The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Comm. Pure Appl. Math. 48:1995;235-277.
4. Liu J.-G., Xin Z. Boundary layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation. Arch. Rational Mech. Anal. 135:1996;61-105.
5. Goodman J., Xin Z. Viscous limits for piecewise smooth solutions to systems of conservation laws. Arch. Rational Mech. Anal. 121:1992;235-265.
6. Liu T.-P. Hyperbolic conservation laws with relaxation. Comm. Math. Phys. 108:1987;153-175.
7. Natalini R. Convergence to equilibrium for the relaxation approximations of conservation laws. Comm. Pure Appl. Math. 49:1996;795-823.
8. Wang W.-C., Xin Z. Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions. Comm. Pure Appl. Math. 51:1998;505-535.
9. Xin Z. The fluid dynamic limit of Broadwell model of the nonlinear Boltzmann equation in the presence of shocks. Comm. Pure Appl. Math. 44:1991;679-913.
10. Z, Xin, and, W.-Q. Xu, Stiff well-posedness and asymptotic convergence for a class of linear relaxation systems in a quarter plane, J. Differential Equations, to appear.