The Fujita–Kato approach to the Navier–Stokes equations in the rotational framework

The Fujita–Kato approach to the Navier–Stokes equations in the rotational framework
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DOI:
10.1007/s00209-009-0525-8
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发表时间:
2010-06
影响因子:
0.8
通讯作者:
Matthias Hieber;Y. Shibata
Matthias Hieber;Y. Shibata
中科院分区:
数学2区
文献类型:
--
作者:
Matthias Hieber;Y. Shibata

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考虑旋转框架中的Navier-Stokes方程。证明了当初始值0在-范数下足够小时,对于任意转速,这些方程具有唯一的整体温和解。
Consider the Navier-Stokes equations in the rotational framework. It is proved that these equations possess a unique global mild solution for arbitrary speed of rotation provided the initial datau0is small enough in the-norm.