Global large solutions and incompressible limit for the compressible Navier-Stokes equations

Abstract

The present paper is dedicated to the global large solutions and incompressible limit for the compressible Navier-Stokes system in ${\mathbb{R}}^d$ with $d\ge 2$. We aim at extending the work by Danchin and Mucha (Adv. Math., 320, 904--925, 2017) in $L^2$ structure to that in a critical $L^p$ framework. The result implies the existence of global large solutions initially from large highly oscillating velocity fields.

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References in corpus (3)

• Existence of global strong solutions in critical spaces for barotropic viscous fluids
• Optimal time-decay estimates for the compressible navier-stokes equations in the critical l p framework
• On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces

Cited by in corpus (1)

• Global wellposedness and large time behavior of solutions to the $n$-dimensional compressible Oldroyd-B model