On Generalized Energy Inequality of the Damped Navier-Stokes Equations with Navier Slip Boundary Conditions

被引：0
|
作者：
Pal, Subha [1 ]
Chutia, Duranta [2 ]
机构：
[1] Tezpur Univ, Tezpur 784028, Assam, India
[2] Dibru Coll, Dibrugarh 786003, Assam, India
来源：
MATHEMATICS AND COMPUTING, ICMC 2022 | 2022年 / 415卷
关键词：
Navier-Stokes equation; Damping; Rothe method; Navier slip boundary condition; WEAK SOLUTIONS; ATTRACTORS; REGULARITY; UNIQUENESS;
D O I：
10.1007/978-981-19-9307-7_38
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this article, we deal with a damped Navier-Stokes equations in IR3 with slip boundary conditions. Sufficient conditions for the existence of the solutions to the Navier-Stokes system are established in a bounded domain Omega subset of IR3. Further, we show that the solutions derived by Rothe's method are satisfying the local energy inequality.
引用
收藏
页码：465 / 478
页数：14
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