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

Yoshiyuki Kagei, Shuichi Kawashima

研究成果: Article

45 引用 (Scopus)

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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.

元の言語English
ページ(範囲)401-430
ページ数30
ジャーナルCommunications in Mathematical Physics
266
発行部数2
DOI
出版物ステータスPublished - 2006 9 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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