Asymptotic Behavior of Solutions to the Compressible Navier-Stokes Equation Around a Parallel Flow

Yoshiyuki Kagei

研究成果: ジャーナルへの寄稿学術誌査読

27 被引用数 (Scopus)

抄録

The initial boundary value problem for the compressible Navier-Stokes equation is considered in an infinite layer of R 2. It is proved that if the Reynolds and Mach numbers are sufficiently small, then strong solutions to the compressible Navier-Stokes equation around parallel flows exist globally in time for sufficiently small initial perturbations. The large time behavior of the solution is described by a solution of a one-dimensional viscous Burgers equation. The proof is given by a combination of spectral analysis of the linearized operator and a variant of the Matsumura-Nishida energy method.

本文言語英語
ページ(範囲)585-650
ページ数66
ジャーナルArchive for Rational Mechanics and Analysis
205
2
DOI
出版ステータス出版済み - 8月 2012

!!!All Science Journal Classification (ASJC) codes

  • 分析
  • 数学(その他)
  • 機械工学

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