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

Authors

  • Tingting Zheng Computer and Message Science College, Fujian Agriculture and Forest University, Fuzhou 350002, Fujian Province, P. R. China
  • Peixin Zhang School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian Province, P. R. China

DOI:

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

Keywords:

Incompressible Navier-Stokes equations, strong solutions, vacuum.

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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Published

2015-09-02

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Issue

Vol. 48 No. 3 (2015)

Section

Articles

How to Cite

Global Strong Solution to the 3D Incompressible Navier-Stokes Equations with General Initial Data. (2015). Journal of Mathematical Study, 48(3), 250-255. https://doi.org/10.4208/jms.v48n3.15.03