Global classical solution to the Cauchy problem of 2D baratropic compressible Navier-Stokes system with large initial data

Abstract

For periodic initial data with initial density, we establish the global existence and uniqueness of strong and classical solutions for the two-dimensional compressible Navier-Stokes equations with no restrictions on the size of initial data provided the shear viscosity is a positive constant and the bulk one is $\lam=ρ^{\b}$ with $\b>1.$

arXiv comment12 pages. arXiv admin note: text overlap with arXiv:1205.5342, arXiv:1207.3746 by other authors

References in corpus (2)

• Global Well-Posedness of Classical Solutions to the Cauchy problem of Two-Dimensional Baratropic Compressible Navier-Stokes System with Vacuum and Large Initial Data
• 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 (1)

• Global Classical Solutions to the 2D Compressible MHD Equations with Large Data and Vacuum