抄録
The global in time existence of strong solutions to the compressible Navier-Stokes equation around time-periodic parallel flows in Rn, n ≥ 2, is established under smallness conditions on Reynolds number, Mach number, and initial perturbations. Furthermore, it is proved for n = 2 that the asymptotic leading part of solutions is given by a solution of the one-dimensional viscous Burgers equation multiplied by the time-periodic function. In the case n ≥ 3 the asymptotic leading part of solutions is given by a solution of the n -1-dimensional heat equation with the convective term multiplied by the time-periodic function.
本文言語 | 英語 |
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ページ(範囲) | 3514-3574 |
ページ数 | 61 |
ジャーナル | SIAM Journal on Mathematical Analysis |
巻 | 45 |
号 | 6 |
DOI | |
出版ステータス | 出版済み - 2013 |
!!!All Science Journal Classification (ASJC) codes
- 分析
- 計算数学
- 応用数学