Weak Solutions and Their Kinetic Energy Regarding Time-Periodic Navier-Stokes Equations in Three Dimensional Whole-Space

被引：1
作者：
Kyed, Mads [1 ,2 ]
机构：
[1] Flensburg Univ Appl Sci, Fachbereich Maschinenbau, Kanzleistr 91-93, D-24943 Flensburg, Germany
[2] Waseda Univ, Fac Sci & Engn, Shinjuku Ku, 3-4-1 Ohkubo, Tokyo 1698555, Japan
来源：
MATHEMATICS | 2021年 / 9卷 / 13期
关键词：
Navier-Stokes; time-periodic solutions; EXISTENCE;
D O I：
10.3390/math9131528
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence of weak time-periodic solutions to Navier-Stokes equations in three dimensional whole-space with time-periodic forcing terms are established. The solutions are constructed in such a way that the structural properties of their kinetic energy are obtained. No restrictions on either the size or structure of the external force are required.
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页数：28
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