We address the study of decay rates of solutions to dissipative equations. The
characterization of these rates is given for a wide class of linear systems by the decay …

This paper establishes the existence and uniqueness, and also presents a blow-up criterion,
for solutions of the quasi-geostrophic (QG) equation in a framework of Fourier type …

In this paper we study the incompressible Navier-Stokes equations in L 2 (R 3)∩ X− 1 (R 3).
In the global existence case, we establish that if the solution u is in the space C (R+, L 2∩ …

Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

In this article, we consider the Cauchy problem of the dissipative quasi-geostrophic equation
in critical Fourier–Besov spaces. Using the bilinear-type fixed point theory, we obtain the …

In this article, we study the long time decay of global solution to 3D incompressible Navier-
Stokes equations. We prove that if u∈ C ([0,∞), H1 a, σ (R3)) is a global solution, where H1 …

Research Article Long Time Behavior of the Solution of the Two-Dimensional Dissipative QGE in
Lei–Lin Spaces Page 1 Research Article Long Time Behavior of the Solution of the …

The dissipative two dimensional Quasi-Geostrophic Equation (2D QGE) is studied. By using
the Littlewood Paley theory, Fourier analysis and standard techniques we give the Gevrey …

In this study, we investigate the long-time behavior of the global solution of the anisotropic
quasi-geostrophic equation, denoted by θ, where θ belongs to the space C b (R+, H s (R 2)) …

We study the regularity of the solutions of the surface quasi‐geostrophic equation with
subcritical exponent 1/2< α≤ 1. We prove that if the initial data is small enough in the critical …