Pointwise convergence to shock waves for viscous conservation laws

Communications on Pure and Applied Mathematics

Volumn 50, Issue 11, 1997, Pages 1113-1182

  Liu, Tai Ping ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031531481     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199711)50:11<1113::AID-CPA3>3.0.CO;2-D     Document Type: Article

References (12)

1. Freistuhler, H., and Liu, T.-P., Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscous conservation laws, Comm. Math. Phys. 153, 1993, pp. 147-158.
2. Goodman, J., Nonlinear asymptotic stability of viscous shock profiles for conservation laws, Arch. Rational Mech. Anal. 95, 1986, pp. 325-344.
3. Lax, P. D., Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math. 10, 1957, pp. 537-566.
4. Liu, T.-P., Nonlinear stability of shock waves for viscous conservation laws, Mem. Amer. Math. Soc. 56(328), 1985.
5. Liu, T.-P., Nonlinear hyperbolic-parabolic partial differential equations, pp. 161-170 in: Nonlinear Analysis (Taipei, 1989), F.-C. Liu and T.-P. Liu, eds., World Scientific, Teaneck, N.J., 1991.
6. Liu, T.-P., Riemann problem for viscous conservation laws, to appear.
7. Liu, T.-P., and Xin, Z.P., Nonlinear stability of viscous contact discontinuities, Asian J. Math., to appear.
8. Liu, T.-P., and Yu, S.-H., Propagation of stationary Burgers shocks under the boundary effect, Arch. Rational Mech. Anal., to appear.
9. Liu, T.-P., and Zeng, Y., Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws, Mem. Amer. Math. Soc. 125(599), 1997.
10. Liu, T.-P., and Zumbrun, K., On nonlinear stability of general undercompressive viscous shock waves, Comm. Math. Phys. 175, 1995, pp. 319-345.
11. Matsumura, A., and Nishihara, K., On the stability of traveling wave solutions of a one-dimensional model system for compressible viscous gas, Japan J. Appl. Math. 2, 1985, pp. 17-25.
12. Szepessy, A., and Xin, Z. P., Noninear stability of viscous shock waves, Arch. Rational Mech. Anal. 122, 1993, pp. 53-103.