DECAY ESTIMATES ON SOLUTIONS OF THE LINEARIZED COMPRESSIBLE NAVIER-STOKES EQUATION AROUND A PARALLEL FLOW IN A CYLINDRICAL DOMAIN
DECAY ESTIMATES ON SOLUTIONS OF THE LINEARIZED COMPRESSIBLE NAVIER-STOKES EQUATION AROUND A PARALLEL FLOW IN A CYLINDRICAL DOMAIN
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圆柱域内平行流线性化可压缩纳维-斯托克斯方程解的衰减估计
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Reika Aoyama
中科院分区：
文献类型：
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作者：
Reika Aoyama
本文研究的是圆柱域中可压缩纳维-斯托克斯方程的平行流稳定性。证明了当雷诺数和马赫数足够小时，平行流周围的线性化半群在L^2范数内作为一维热半群衰减。结合Iooss-Padula能量法和Matsumura-Nishida能量法的变体给出了证明。
This paper is concerned with the stability of a parallel flow of the compressible Navier-Stokes equation in a cylindrical domain. It is proved that the linearized semigroup around the parallel flow decays in the L^2-norm as a one-dimensional heat semigroup when the Reynolds and Mach numbers are sufficiently small. The proof is given by combining the energy method of Iooss-Padula and a variant of the Matsumura-Nishida energy method.