Sur la solution à support compact de l'equation d'Euler compressible

Tetu Makino, Seiji Ukai, Shuichi Kawashima

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    141 Citations (Scopus)

    Abstract

    The Cauchy problem for the compressible Euler equation is discussed with compactly supported initials. To establish the localexistence of classical solutions by the aid of the theory of quasilinear symmetric hyperbolic systems, a new symmetrization is introduced which works for initials having compact support or vanishing at infinity. It is further shown that as far as the classical solution is concerned, its support does not change, and that the life span is finite for any solution except for the trivial zero solution.

    Original languageFrench
    Pages (from-to)249-257
    Number of pages9
    JournalJapan Journal of Applied Mathematics
    Volume3
    Issue number2
    DOIs
    Publication statusPublished - Dec 1986

    All Science Journal Classification (ASJC) codes

    • General Engineering
    • Applied Mathematics

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