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

Tetu Makino, Seiji Ukai, Shuichi Kawashima

研究成果: Article

108 引用 (Scopus)

抄録

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.

元の言語French
ページ(範囲)249-257
ページ数9
ジャーナルJapan Journal of Applied Mathematics
3
発行部数2
DOI
出版物ステータスPublished - 1986 12 1
外部発表Yes

Fingerprint

Compressible Euler Equations
Compact Support
Classical Solution
Euler
Symmetric Hyperbolic Systems
Symmetrization
Life Span
Euler equations
Cauchy Problem
Trivial
Infinity
Zero

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

これを引用

Sur la solution à support compact de l'equation d'Euler compressible. / Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi.

:: Japan Journal of Applied Mathematics, 巻 3, 番号 2, 01.12.1986, p. 249-257.

研究成果: Article

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