most citedWell-posedness and regularity of generalized Navier-Stokes equations in some Critical spaces

4 citations · 7 across the 4 of their papers we have counts for

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math.AP2009

Riesz transforms on Q-type spaces with application to quasi-geostrophic equation

Pengtao Li, Zhichun Zhai

In this paper, we prove the boundedness of Riesz transforms () on the Q-type spaces . As an application, we get the we…

math.AP2009★ 3 cited

Generalized Naiver-Stokes equations with initial data in local -type spaces

Pengtao Li, Zhichun Zhai

In this paper, we establish a link between Leray mollified solutions of the three-dimensional generalized Naiver-Stokes equations and mild solutions for initial data in the adheren…

math.AP2009★ 4 cited

Well-posedness and regularity of generalized Navier-Stokes equations in some Critical spaces

Pengtao Li, Zhichun Zhai

We study the well-posedness and regularity of the generalized Navier-Stokes equations with initial data in a new critical space $Q_{α;\infty}^{β,-1}(\mathbb{R}^{n})=\nabla\cdot(Q_α…

math.AP2009

Several analytic inequalities in some spaces

Pengtao Li, Zhichun Zhai

In this paper, we establish separate necessary and sufficient John-Nirenberg (JN) type inequalities for functions in which imply Gagliardo-Nirenberg (GN) ty…