Zhichun Zhai

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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 $\partial_{j} (- Δ)^{- 1/2}$ ( $j = 1, 2, ..., n$ ) on the Q-type spaces $Q_{α}^{β} (R^{n})$ . As an application, we get the we…

math.AP2009

Well-posedness for fractional Navier-Stokes equations in critical spaces close to $B ˙_{\infty, \infty}^{- (2 β - 1)} (R^{n})$

Zhichun Zhai

In this paper, we prove the well-posedness for the fractional Navier-Stokes equations in critical spaces $G_{n}^{- (2 β - 1)} (R^{n})$ and $B M O^{- (2 β - 1)} (R^{n}) .$ Both…

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

Well-posedness for fractional Navier-Stokes equations in critical spaces close to B˙∞,∞−(2β−1)​(Rn)

Well-posedness for fractional Navier-Stokes equations in critical spaces close to $B ˙_{\infty, \infty}^{- (2 β - 1)} (R^{n})$