Article ID Journal Published Year Pages File Type
4663411 Acta Mathematica Scientia 2016 14 Pages PDF
Abstract

In this paper, we consider the global existence of classical solution to the 3-D compressible Navier-Stokes equations with a density-dependent viscosity coefficient λ(ρ) provided that the initial energy is small in some sense. In our result, we give a relation between the initial energy and the viscosity coefficient μ, and it shows that the initial energy can be large if the coefficient of the viscosity μ is taken to be large, which implies that large viscosity μ means large solution.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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