Advertisement

Smoothness of shock front solutions for systems of conservation laws

  • Chen Shuxing
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1306)

Keywords

Compact Support Shock Front Pseudodifferential Operator Inverse Fourier Transform Discontinuous Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J.M. Bony, Ann. Scien.de l'Ecole Norm. Sup. 14(1981), 209–246.MathSciNetGoogle Scholar
  2. 2.
    —, Sem. Goulaouic-Meyer-Schwartz, exp. no.2 (1981–1982).Google Scholar
  3. 3.
    J. Rauch & M. Reed. Duke Math. J. 49(1982), 397–475.MathSciNetCrossRefGoogle Scholar
  4. 4.
    M. Beals & G. Metivier, Duke Math. J. 53(1986), 125–137.MathSciNetCrossRefGoogle Scholar
  5. 5.
    —, Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems, preprint.Google Scholar
  6. 6.
    S. Alinhac, Paracomposition et operateurs paradifferentiels, Comm. in PDE, 11(1986), 87–121.MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    —, Evolution d'une onde simple pour des equations non-lineaires generales, preprint.Google Scholar
  8. 8.
    A.Majda, Memoirs A.M.S., 275(1983).Google Scholar
  9. 9.
    —, Memoirs A.M.S., 281(1983).Google Scholar
  10. 10.
    H.O. Kreiss, Comm. Pure Appl. Math. 23(1970), 277–298.MathSciNetCrossRefGoogle Scholar
  11. 11.
    A.Cordoba & C.Fefferman, Comm. P.D.E. 3(1978).Google Scholar
  12. 12.
    R.Coifman & Y.Meyer, Asterisque 57(1978).Google Scholar
  13. 13.
    J.Chazarain & A.Piriou, Introduction to the theory on linear partial differential equations, North-Holland Publishing Company (1982).Google Scholar
  14. 14.
    L.Hörmander, The Analysis of linear partial differential operators, Springer-Verlag (1985).Google Scholar
  15. 15.
    P.Godin, Analytic regularity of uniformly stable shock fronts with analytic data, preprint.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Chen Shuxing
    • 1
  1. 1.Dept. of Math.Fudan Univ.ShanghaiChina

Personalised recommendations