Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum
نویسندگان
چکیده
In this paper, we study the global well-posedness of the 2D compressible NavierStokes equations with large initial data and vacuum. It is proved that if the shear viscosity μ is a positive constant and the bulk viscosity λ is the power function of the density, that is, λ(ρ) = ρβ with β > 3, then the 2D compressible Navier-Stokes equations with the periodic boundary conditions on the torus T2 admit a unique global classical solution (ρ, u) which may contain vacuums in an open set of T2. Note that the initial data can be arbitrarily large to contain vacuum states.
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