Global Well-Posedness of Classical Solutions to the Cauchy problem of Two-Dimensional Baratropic Compressible Navier-Stokes System with Vacuum and Large Initial Data

Abstract

For smooth initial data, we establish the global existence and uniqueness of strong and classical solutions to the Cauchy problem for the barotropic compressible Navier-Stokes equations in two spatial dimensions with vacuum state as far field and with no restrictions on the size of initial data provided the shear viscosity is a positive constant and the bulk one is $\lambda ={\rho }^{\beta }$ with $\beta >4/3$.

arXiv admin note: substantial text overlap with arXiv:1205.5342, and with arXiv:1206.4502 by other authors

References in corpus (1)

• Existence and Blowup Behavior of Global Strong Solutions to the Two-Dimensional Baratropic Compressible Navier-Stokes System with Vacuum and Large Initial Data

Cited by in corpus (14)

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• Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces
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• Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic
• Strong solutions to the Cauchy problem of the two-dimensional non-baratropic non-resistive magnetohydrodynamic equations with zero heat conduction
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• Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data