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

Tetu Makino*, Seiji Ukai, Shuichi Kawashima

*この研究の対応する著者

研究成果: Article査読

124 被引用数 (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.

本文言語French
ページ(範囲)249-257
ページ数9
ジャーナルJapan Journal of Applied Mathematics
3
2
DOI
出版ステータスPublished - 1986 12月
外部発表はい

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学

引用スタイル