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

页码：465 / 478

页数：14

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