On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system

Abstract

We compute the sharp time decay rates of the solutions of the IVP for quasi-geostrophic equation and the Boussinesq model, subject to fractional dissipation. Moreover, we explicitly identify the asymptotic profiles, the kernel of the $\alpha$ stable processes, which are analogues of the Oseen vortices.

References in corpus (3)

• Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on R^2
• Long-time asymptotics of the Navier-Stokes and vorticity equations on R^3
• Decay of weak solutions to the 2D dissipative quasi-geostrophic equation

Cited by in corpus (1)

• On the forced surface quasi-geostrophic equation: Existence of steady states and sharp relaxation rates