THE REGULARITY FOR WEAK SOLUTION OF THE NAVIER-STOKES EQUATIONS | Ngọc | TNU Journal of Science and Technology

THE REGULARITY FOR WEAK SOLUTION OF THE NAVIER-STOKES EQUATIONS

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Published: 28/11/18

Authors

1. Nguyen Thi Minh Ngoc Email to author, Thai Nguyen University of Technology
2. Ngo Van Giang, Thai Nguyen University of Technology

Abstract


In this paper, we study the regularity of weak solutions for Navier -Stokes equations. We consider sufficient conditions for the regularity of Leray solutions of Navier - Stokes equations (NSE) in three dimensional space. In this paper we prove that if the third derivative of the velocity ...
is results improved of J. Neustupa, A. Novotnþ, P. Pene [3]. Thus, the weak
solution u is strong solution and unique.


Keywords


Navier - Stokes equations, regularity criterion, energy inequality, weak solution, one velocity component

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