arXiv:1207.3746 Abstract | arXiv Analytics

arXiv:1207.3746 [math.AP]Abstract References Reviews Resources

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

Published 2012-07-16, updated 2013-06-20Version 3

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 $\beta>4/3$.

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

Categories: math.AP

Keywords: two-dimensional baratropic compressible navier-stokes system, large initial data, cauchy problem, classical solutions, global well-posedness

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