Ramzi May

most citedRôle de léspace de Besov

B_{\infty}^{- 1, \infty}

dans le contrôle de léxplosion èventuelle en temps fini des solutions régulières des équations de Navier-Stokes

10 citations · 19 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2009★ 7 cited

Global well-posedness for a Modified 2D dissipative quasi-geostrophic equation with initial data in the critical Sobolev space $H^{1}$

Ramzi May

In this paper, we consider the following modified quasi-geostrophic equations $\partial_{t} θ + Λ^{α} θ + u \nabla θ = 0$ , $u = Λ^{α - 1} R^{⊥} (θ)$ where $α \in] 0, 1 [$ is a fixed param…

math.AP2009★ 2 cited

The role of the Besov space $B_{\infty}^{- 1, \infty}$ % 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 $u \in C ([0, T^{*} [; L^{3} (R$ 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 $θ_{0}$ and its Riesz transforms ( $R_{1} (θ_{0})$ and $R_{2} (θ_{0})$ ) belong to the space $(\overline{S(\mathbb{R}^2))}^{B…

math.AP2009★ 10 cited

Rôle de léspace de Besov $B_{\infty}^{- 1, \infty}$ dans le contrôle de léxplosion èventuelle en temps fini des solutions régulières des équations de Navier-Stokes

Ramzi May

Let $u \in C ([0, T^{*} [; L^{n} (R$ be a maximal solution of the Navier-Stokes equations. We prove that $u$ is $C^{\infty}$ on $]0,T^{\ast}[\times \mathbb{R}^{n}…

Global well-posedness for a Modified 2D dissipative quasi-geostrophic equation with initial data in the critical Sobolev space H1

The role of the Besov space B∞−1,∞​% in the control of the eventual explosion in finite time of the regular solutions of the Navier-Stokes equations

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

Rôle de léspace de Besov B∞−1,∞​dans le contrôle de léxplosion èventuelle en temps fini des solutions régulières des équations de Navier-Stokes

Global well-posedness for a Modified 2D dissipative quasi-geostrophic equation with initial data in the critical Sobolev space $H^{1}$

The role of the Besov space $B_{\infty}^{- 1, \infty}$ % in the control of the eventual explosion in finite time of the regular solutions of the Navier-Stokes equations

Rôle de léspace de Besov $B_{\infty}^{- 1, \infty}$ dans le contrôle de léxplosion èventuelle en temps fini des solutions régulières des équations de Navier-Stokes