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On the Dynamics of the Boundary Vorticity for Incompressible Viscous Flows

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  1. Article

    Open Access

    Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method

    In this paper we study the stochastic Galerkin approximation for the linear transport equation with random inputs and diffusive scaling. We first establish uniform (in the Knudsen number) stability results in ...

    Shi **, Jian-Guo Liu, Zheng Ma in Research in the Mathematical Sciences (2017)

  2. Article

    Open Access

    Propagation of chaos for large Brownian particle system with Coulomb interaction

    We investigate a system of N Brownian particles with the Coulomb interaction in any dimension \(d\ge 2\) ...

    Jian-Guo Liu, Rong Yang in Research in the Mathematical Sciences (2016)