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  1. No Access

    Article

    Reduction of Volume-preserving Flows on an n-dimensional Manifold

    A geometric reduction procedure for volume-preserving flows with a volume-preserving symmetry on an n-dimensional manifold is obtained. Instead of the coordinate-dependent theory and the concrete coordinate trans...

    Yong-ai Zheng, De-bin Huang, Zeng-rong Liu in Acta Mathematicae Applicatae Sinica (2003)

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    Article

    Attractors of Nonautonomous Schrödinger Equations

    The long-time behaviour of a two-dimensional nonautonomous nonlinear Schrödinger equation is considered. The existence of uniform attractor is proved and the upper bound of the uniform attractor's Hausdorff di...

    Yu-rong Liu, Zeng-rong Liu, Yong-ai Zheng in Applied Mathematics and Mechanics (2001)

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    Article

    Attractors of weakly damped forced KdV equations with external periodic excitation

    Consider the KdV equations with the external periodic excitation u t+uu x+u xxx+γu=f(t), with f(t+T)=f(t). Prove the existence of attractors of resulting discrete s...

    Yu-rong Liu, Zeng-rong Liu, Yong-ai Zheng in Journal of Shanghai University (English Ed… (2000)