Large time behavior of solutions to the 3D rotating Navier-Stokes equations
Large time behavior of solutions to the 3D rotating Navier-Stokes equations
复制标题
3D 旋转纳维-斯托克斯方程解的大时间行为
DOI：
10.1007/s00021-023-00767-x
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Ryo Takada
中科院分区：
文献类型：
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作者：
Takanari Egashira;Ryo Takada
考虑了三维全空间中含科里奥利力的Navier-Stokes方程初值问题解的大时性。我们给出了考虑科里奥利力色散效应的全局解的时间衰减估计。此外，我们证明了解的大时间渐近展开式表现为相应线性解的积分核的一阶空间导数。
We consider the large time behavior of the solutions for the initial value problem of the Navier–Stokes equations with the Coriolis force in the three-dimensional whole space. We show thetemporal decay estimates with the dispersion effect of the Coriolis force for the global solutions. Moreover, we prove the large time asymptotic expansion of the solutions behaving like the first-order spatial derivatives of the integral kernel of the corresponding linear solution.