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20092026
most citedGlobal well-posedness for a Modified 2D dissipative quasi-geostrophic equation with initial data in the critical Sobolev space

7 citations · 10 across the 13 of their papers we have counts for

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math.AP2026

On the uniqueness and the regularity of solutions to the Navier Stokes in the Lorentz space

Ramzi May

We prove uniqueness of solutions to the Navier-Stokes equations in the space \[ L^p\bigl([0,T],\widetilde{L}^{3,\infty}(\mathbb{R}^3)\bigr) \cap C\bigl([0,T],B^{-1,\infty}_{\infty}…

math.AP2018

An extension of an unicity class for Navier-Stokes equations

Ramzi May

This is a translation from French of my paper [R. May, Extension d'une classe d'unicite pour les equations de Navier-Stokes, Ann. I. H. Poincaré-AN 27 (2010) 705-718. doi:10.1016/j…

math.AP2014

Long time behavior for a semilinear hyperbolic equation with asymtotically vanishing damping term and convex potential

Ramzi May

We investigate the asymptotic behavior, as t goes to infinity, for a semilinear hyperbolic equation with asymptotically smal dissipation and convex potential. We prove that if the…

math.AP2009★ 7 cited

Global well-posedness for a Modified 2D dissipative quasi-geostrophic equation with initial data in the critical Sobolev space

Ramzi May

In this paper, we consider the following modified quasi-geostrophic equations , where is a fixed param…

math.AP2009★ 2 cited

The role of the Besov space % in the control of the eventual explosion in finite time of the regular solutions of the Navier-Stokes equations

Ramzi May

This paper is essentially a translation from French of my article \cite{M1} published in 2003. Let be a maximal solution of the Navi…

math.AP2009

Global Existence of Solutions to the 2D subcritical dissipative Quasi-Geostrophic equation and persistency of the initial regularity

Ramzi May, Ezzeddine Zahrouni

In this paper, we prove that if the initial data and its Riesz transforms ( and ) belong to the space $(\overline{S(\mathbb{R}^2))}^{B…