Decay properties of solutions to the linearized compressible navierstokes equation around time-periodic parallel flow

Jan Březina, Yoshiyuki Kagei

研究成果: Contribution to journalArticle査読

15 被引用数 (Scopus)

抄録

Decay estimates on solutions to the linearized compressible NavierStokes equation around time-periodic parallel flow are established. It is shown that if the Reynolds and Mach numbers are sufficiently small, solutions of the linearized problem decay in L 2 norm as an (n - 1)-dimensional heat kernel. Furthermore, it is proved that the asymptotic leading part of solutions is given by solutions of an (n - 1)-dimensional linear heat equation with a convective term multiplied by time-periodic function.

本文言語英語
論文番号1250007
ジャーナルMathematical Models and Methods in Applied Sciences
22
7
DOI
出版ステータス出版済み - 7 2012

All Science Journal Classification (ASJC) codes

  • モデリングとシミュレーション
  • 応用数学

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