Global Strong Solution to the 3D Incompressible Navier-Stokes Equations with General Initial Data

Global Strong Solution to the 3D Incompressible Navier-Stokes Equations with General Initial Data

Year:    2015

Author:    Tingting Zheng, Peixin Zhang

Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 250–255

Abstract

We study the existence of global strong solution to an initial-boundary value (or initial value) problem for the 3D nonhomogeneous incompressible Navier-Stokes equations. In this study, the initial density is suitably small (or the viscosity coefficient suitably large) and the initial vacuum is allowed. Results show that the unique solution of the Navier-Stokes equations can be found.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v48n3.15.03

Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 250–255

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Incompressible Navier-Stokes equations strong solutions vacuum.

Author Details

Tingting Zheng

Peixin Zhang