Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow
Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow
复制标题
时间周期平行流线性化可压缩纳维-斯托克斯方程解的衰减特性
DOI：
10.1142/s0218202512500078
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Jan Brezina
中科院分区：
文献类型：
--
作者：
Abe;G.;Jan Brezina
建立了围绕时间周期并行流的线性可压缩纳维-斯托克斯方程解的衰减估计。结果表明，如果雷诺数和马赫数足够小，线性化问题的解将在 L2norm 中衰减为 (n-1) 维热核。此外，还证明了解的渐近前导部分是由对流项乘以时间周期函数的(n-1)维线性热方程的解给出的。
Decay estimates on solutions to the linearized compressible Navier–Stokes 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 L2norm 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.
泊肃叶型流周围线性化可压缩纳维-斯托克斯方程解的衰减估计
DOI：
--
发表时间：
2010
期刊：
Journal of Math-for-Industry
影响因子：
--
作者：
Kazuhide Asakawa;Gembu Abe;Koichi Kawakami;Y.Kagei
通讯作者：
Y.Kagei