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Article
On the local wellposedness of 3-D water wave problem with vorticity
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 prob...
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Article
Global well-posedness for the 2D critical dissipative quasi-geostrophic equation
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 Ḃ ...
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Article
On the Blow-up Criterion of Smooth Solutions to the 3D Ideal MHD Equations
In this paper, we consider the blow-up of smooth solutions to the 3D ideal MHD equations. Let (u, b) be a smooth solution in (0, T). It is proved that the solution (u, b) can be extended after t = T if ...