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- W1510828567 abstract "In this paper, we prove that there exists a unique global strong solution to the three-dimensional full compressible Navier-Stokes equations with vacuum at infinity, provided that the initial mass is small in some sense. The initial vacuum may also appear in a subset of $R^3$ besides at infinity, or can be of compact support. Our result shows that the initial mass can be large if the coefficients of viscosity and heat conduction are taken to be large, which implies that large viscosity and heat conduction mean large solution. Furthermore, large time behavior and decay estimates of the strong solution are considered, and some necessary conditions also are given for global strong solution with momentum or energy conservation. Finally, we show that the global strong solution can become classical if the initial data is more regular." @default.
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- W1510828567 date "2012-08-06" @default.
- W1510828567 modified "2023-09-27" @default.
- W1510828567 title "Global classical solution to 3D full compressible Navier-Stokes equations with vacuum at infinity" @default.
- W1510828567 hasPublicationYear "2012" @default.
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