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国家自然科学基金(10601002)

作品数:3 被引量:3H指数:1
相关作者:章志飞更多>>
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  • 3篇2007
3 条 记 录,以下是 1-3
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Global well-posedness for the 2D critical dissipative quasi-geostrophic equation被引量:1
2007年
We study the initial value problem for the 2D critical dissipative quasi-geostrophic equation. We prove the global existence for small data in the scale invariant Besov spaces ? p,1 2/p , 1 ? p ? ∞. In particular, for p = ∞, our result does not impose any regularity on the initial data. Our proofs are based on an exponential decay estimate of the semigroup $e^{{ - t\kappa ( - \Delta )}^{\alpha}} $ and the use of space-time Besov spaces.
Zhi-fei ZHANG School of Mathematical Sciences, Peking University, Beijing 100871, China
关键词:WELL-POSEDNESS
二维临界耗散准地转方程的整体适定性
2007年
利用半群e^(-tk(-△)~α)的指数衰减估计和时空Besov空间,证明了当初值在尺度不变的Besov空间B(p,1) (2/p)(1≤p≤∞)中充分小时二维临界耗散准地转方程的整体适定性.
章志飞
关键词:BESOV空间适定性
On the local wellposedness of 3-D water wave problem with vorticity被引量:2
2007年
In this article, we first present an equivalent formulation of the free boundary problem to 3-D incompressible Euler equations, then we announce our local wellposedness result concerning the free boundary problem in Sobolev space provided that there is no self-intersection point on the initial surface and under the stability assumption that $\frac{{\partial p}}{{\partial n}}(\xi )\left| {_{t = 0} } \right. \leqslant - 2c_0 < 0$ being restricted to the initial surface.
Ping ZHANG~1 Zhi-fei ZHANG~2 1 Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China
关键词:WATER-WAVES
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