ON SOLUTION TO THE NAVIER-STOKES EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITION FOR THREE DIMENSIONAL INCOMPRESSIBLE FLUID

doi:10.1007/s10473-019-0613-8

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (6): 1628-1638.doi: 10.1007/s10473-019-0613-8

ON SOLUTION TO THE NAVIER-STOKES EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITION FOR THREE DIMENSIONAL INCOMPRESSIBLE FLUID

Subha PAL, Rajib HALOI

Department of Mathematical Sciences, Tezpur University, Sonitpur Assam 784028, India

收稿日期:2018-05-14 修回日期:2018-11-20 出版日期:2019-12-25 发布日期:2019-12-30
通讯作者: Rajib HALOI,E-mail:rajib.haloi@gmail.com E-mail:rajib.haloi@gmail.com
作者简介:Subha PAL,E-mail:sp234sp@gmail.com;
基金资助:
The first author was supported by National Board for Higher Mathematics (02011/9/2019NBHM (R.P.)/R and D II/1324).

ON SOLUTION TO THE NAVIER-STOKES EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITION FOR THREE DIMENSIONAL INCOMPRESSIBLE FLUID

Subha PAL, Rajib HALOI

Department of Mathematical Sciences, Tezpur University, Sonitpur Assam 784028, India

Received:2018-05-14 Revised:2018-11-20 Online:2019-12-25 Published:2019-12-30
Contact: Rajib HALOI,E-mail:rajib.haloi@gmail.com E-mail:rajib.haloi@gmail.com
Supported by:
The first author was supported by National Board for Higher Mathematics (02011/9/2019NBHM (R.P.)/R and D II/1324).

摘要/Abstract

摘要： In this article, we prove the existence and uniqueness of solutions of the Navier-Stokes equations with Navier slip boundary condition for incompressible fluid in a bounded domain of R³. The results are established by the Galerkin approximation method and improved the existing results.

关键词: Navier-Stokes equations, Galerkin method, Navier slip boundary condition, strain tensor

Abstract: In this article, we prove the existence and uniqueness of solutions of the Navier-Stokes equations with Navier slip boundary condition for incompressible fluid in a bounded domain of R³. The results are established by the Galerkin approximation method and improved the existing results.

Key words: Navier-Stokes equations, Galerkin method, Navier slip boundary condition, strain tensor

中图分类号:

76D05

Subha PAL, Rajib HALOI. ON SOLUTION TO THE NAVIER-STOKES EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITION FOR THREE DIMENSIONAL INCOMPRESSIBLE FLUID[J]. 数学物理学报(英文版), 2019, 39(6): 1628-1638.

Subha PAL, Rajib HALOI. ON SOLUTION TO THE NAVIER-STOKES EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITION FOR THREE DIMENSIONAL INCOMPRESSIBLE FLUID[J]. Acta mathematica scientia,Series B, 2019, 39(6): 1628-1638.

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ON SOLUTION TO THE NAVIER-STOKES EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITION FOR THREE DIMENSIONAL INCOMPRESSIBLE FLUID

ON SOLUTION TO THE NAVIER-STOKES EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITION FOR THREE DIMENSIONAL INCOMPRESSIBLE FLUID

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