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.

引用

页数：28

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