Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space

Yoshiyuki Kagei, Shuichi Kawashima

研究成果: Article査読

47 被引用数 (Scopus)

抄録

Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space ℝ+n (n ≥ 2)$$ under outflow boundary condition is investigated. It is shown that the planar stationary solution is stable with respect to small perturbations in Hs (ℝ+n) s ≥ [n/2]+1 and the perturbations decay in L norm as t →∞, provided that the magnitude of the stationary solution is sufficiently small. The stability result is proved by the energy method. In the proof an energy functional based on the total energy of the system plays an important role.

本文言語English
ページ(範囲)401-430
ページ数30
ジャーナルCommunications in Mathematical Physics
266
2
DOI
出版ステータスPublished - 2006 9 1
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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