Global well-posedness of compressible Navier-Stokes equations for some classes of large initial data

Mathematics – Analysis of PDEs

Scientific paper

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Some revsions on the introduction

Scientific paper

We prove the global well-posedness of three dimensional compressible
Navier-Stokes equations for some classes of large initial data, which is of
large oscillation for the density and large energy for the velocity. The
structure of the system (especially, the effective viscous flux) is fully
exploited.

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