Bulletin (New Series) of the American Mathematical Society

The existence and stability of multi-dimensional shock fronts

Andrew Majda

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc. (N.S.) Volume 4, Number 3 (1981), 342-344.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183548124

Mathematical Reviews number (MathSciNet)
MR609047

Zentralblatt MATH identifier
0465.76061

Subjects
Primary: 65M10 65M05

Citation

Majda, Andrew. The existence and stability of multi-dimensional shock fronts. Bull. Amer. Math. Soc. (N.S.) 4 (1981), no. 3, 342--344. https://projecteuclid.org/euclid.bams/1183548124.


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References

  • 1. R. Courant and K. O. Friedrichs, Supersonic flow and shock waves, Springer-Verlag, New York.
  • 2. T. Kato, The Cauchy problem for quasi-linear symmetric hyperbolic systems, Arch. Rational Mech. Anal. 58 (1975), 181-205.
  • 3. H. O. Kreiss, Initial boundary value problems for hyperbolic systems, Comm. Pure Appl. Math. 23 (1970), 277-298.
  • 4. A. Majda, The existence of multi-dimensional shock fronts, Comm. Pure Appl. Math. (to appear).
  • 5. A. Majda, The stability of shock fronts-a new problem for linear hyperbolic equations, Comm. Pure Appl. Math. (to appear).