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Nonlinear stability of shock waves for viscous conservation laws
Author(s):
Tai-ping
Liu
Journal:
Bull. Amer. Math. Soc.
12
(1985),
233-236.
MSC (1980):
Primary 35K55, 76N10;
Secondary 35B40, 35L65
MathSciNet review:
776475
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Additional information
References:
- 1.
- J. Goodman, Nonlinear asymptotic stability of viscous shock profiles for conservation laws (preprint). MR 853782
- 2.
- E. Hopf, The partial differential equation u + uu = μu, Comm. Pure Appl. Math. 3 (1950), 201-230. MR 47234
- 3.
- A. M. Il'in and O. A. Oleinik, Asymptotic behavior of the solutions of the Cauchy problem for certain quasilinear equations for large time, Mat. Sb. 51 (1960), 191-216. (Russian) MR 120469
- 4.
- S. Kawashima and A. Matzumura, Asymptotic stability of traveling wave solutions of system for one-dimensional gas motion.
- 5.
- P. D. Lax, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537-566. MR 93653
- 6.
- T.-P. Liu, Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws, Comm. Pure Appl. Math. 30 (1977), 767-796. MR 499781
- 7.
- A. Matzumura and K. Nishihara, On a stability of traveling wave solutions of a one-dimensional model system of compressible viscous gas (preprint).
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15356-X
PII:
S 0273-0979(1985)15356-X
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