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

Journal of Mathematical Study
Vol. 48 No. 3 (2015), pp. 250-255
DOI: 10.4208/jms.v48n3.15.03
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Author(s)
    Tingting Zheng
    Computer and Message Science College, Fujian Agriculture and Forest University, Fuzhou 350002, Fujian Province, P. R. China
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1 Computer and Message Science College, Fujian Agriculture and Forest University, Fuzhou 350002, Fujian Province, P. R. China
2 School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian Province, P. R. China
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.

Keywords
Incompressible Navier-Stokes equations strong solutions vacuum.
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