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Resonance for quasilinear hyperbolic equation
Author(s):
Tai-Ping
Liu
Journal:
Bull. Amer. Math. Soc.
6
(1982),
463-465.
MSC (1980):
Primary 76H05, 35L65;
Secondary 76E30, 35L67
MathSciNet review:
648536
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Additional information
References:
- 1.
- R. Courant and K. O. Friedrichs, Supersonic flow and shock waves, Interscience, New York, 1948. MR 29615
- 2.
- A. Douglis, Layering methods for nonlinear partial differential equations of first order, Ann. Inst. Fourier (Grenoble) 22 (1972), 141-227. MR 358089
- 3.
- J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 695-715. MR 194770
- 4.
- S. Kruzhkov, First order quasilinear equations in several independent variables, Math. USSR-Sb. 10 (1970), 217-243.
- 5.
- P. Lax, Hyperbolic system of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537-566. MR 93653
- 6.
- T.-P. Liu, Quasilinear hyperbolic systems, Comm. Math. Phys. 68 (1979), 141-172. MR 543196
- 7.
- T.-P. Liu, Transonic gas flows along a duct of varying area, Arch. Rational Mech. Anal. (to appear). MR 656799
- 8 T.-P. Liu, Nonlinear stability and instability of transonic gas flow through a nozzle, Comm. Math. Phys. (to appear). MR 649161
- 9.
- G. B. Whitham, Linear and nonlinear waves, Wiley, New York, 1974. MR 355283
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Additional Information:
DOI:
10.1090/S0273-0979-1982-15018-2
PII:
S 0273-0979(1982)15018-2
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