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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Nonlinear stability of shock waves for viscous conservation laws
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by Tai-ping Liu PDF
Bull. Amer. Math. Soc. 12 (1985), 233-236
References
  • Jonathan Goodman, Nonlinear asymptotic stability of viscous shock profiles for conservation laws, Arch. Rational Mech. Anal. 95 (1986), no. 4, 325–344. MR 853782, DOI 10.1007/BF00276840
  • Eberhard Hopf, The partial differential equation $u_t+uu_x=\mu u_{xx}$, Comm. Pure Appl. Math. 3 (1950), 201–230. MR 47234, DOI 10.1002/cpa.3160030302
  • A. M. Il′in and O. A. Oleĭnik, Asymptotic behavior of solutions of the Cauchy problem for some quasi-linear equations for large values of the time, Mat. Sb. (N.S.) 51 (93) (1960), 191–216 (Russian). MR 0120469
    • 4. S. Kawashima and A. Matzumura, Asymptotic stability of traveling wave solutions of system for one-dimensional gas motion.
  • P. D. Lax, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537–566. MR 93653, DOI 10.1002/cpa.3160100406
  • Tai-Ping Liu, Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws, Comm. Pure Appl. Math. 30 (1977), no. 6, 767–796. MR 499781, DOI 10.1002/cpa.3160300605
    • 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
  • Journal: Bull. Amer. Math. Soc. 12 (1985), 233-236
  • MSC (1980): Primary 35K55, 76N10; Secondary 35B40, 35L65
  • DOI: https://doi.org/10.1090/S0273-0979-1985-15356-X
  • MathSciNet review: 776475