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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 ...

    Zhi-fei Zhang, **ao-feng Liu in Acta Mathematicae Applicatae Sinica (2004)

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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 ...

    Zhi-fei Zhang in Science in China Series A: Mathematics (2007)

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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...

    ** Zhang, Zhi-fei Zhang in Science in China Series A: Mathematics (2007)

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    Article

    Global well-posedness for gKdV-3 in Sobolev spaces of negative index

    The initial value problem for the generalized Korteweg-deVries equation of order three on the line is shown to be globally well posed for rough data. Our proof is based on the multilinear estimate and the I-metho...

    Zhi Fei Zhang in Acta Mathematica Sinica, English Series (2008)