Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (6): 1628-1638.doi: 10.1007/s10473-019-0613-8

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

Subha PAL, Rajib HALOI   

  1. 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).

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

CLC Number: 

  • 76D05
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