Decay estimates of global solutions to 2D incompressible inhomogeneous Navier-Stokes equations with variable viscosity

Jingchi Huang (1) , Marius Paicu (2)

1 AMSS - Academy of Mathematics and Systems Science
2 IMB - Institut de Mathématiques de Bordeaux

In this paper, we investigate the time decay behavior to Lions weak solution of 2D incompressible density-dependent Navier-Stokes equations with variable viscosity.

Mots clés: Inhomogeneous Navier-Stokes equations; Decay estimates

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Jingchi Huang, Marius Paicu. Decay estimates of global solutions to 2D incompressible inhomogeneous Navier-Stokes equations with variable viscosity. Discrete and Continuous Dynamical Systems - Series A, 2014, 34 (11), pp.20. ⟨hal-00765698v3⟩