Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions

Journal of Differential Equations

Volumn 139, Issue 2, 1997, Pages 365-408

  Luo, Tao ^a,b   Xin, Zhouping ^c  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

^b CNR   (Italy)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001484887     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1997.3302     Document Type: Article

References (11)

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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 T. P. Nonlinear stability of shock waves for viscous conservation laws. Memoirs Amer. Math. Soc. 328:1986.
5. Liu T. P. Hyperbolic conservation laws with relaxation. Comm. Math. Phys. 108:1987;153-175.
6. Luo T. Asymptotic stability of the planar rarefaction waves for the relaxation approximations of conservation laws in several space dimensions. J. Differential Equations. 133:1997;255-279.
7. Majda A. Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables. 1984;Springer-Verlag, New York.
8. 1, J. Differential Equations.
9. Szepessy A., Xin Z. Nonlinear stability of viscous shock profiles. Arch. Rational Mech. Anal. 122:1993;352-392.
10. W. C. Wang, Z. Xin, On the asymptotic limit of the initial boundary value problem of 1-d scalar conservation laws with relaxation extension.
11. Xin Z. Asymptotic stability of planar rarefaction waves for viscous conservation laws in several dimensions. Trans. Amer. Math. Soc. 319:1990;805-820.