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    Article

    Sonic-Supersonic Solutions for the Two-Dimensional Steady Full Euler Equations

    This paper focuses on the structure of classical sonic-supersonic solutions near sonic curves for the two-dimensional full Euler equations in gas dynamics. In order to deal with the parabolic degeneracy near t...

    Yanbo Hu, Jiequan Li in Archive for Rational Mechanics and Analysis (2020)

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    Article

    Transversal effects of high order numerical schemes for compressible fluid flows

    Finite volume schemes for the two-dimensional (2D) wave system are taken to demonstrate the role of the genuine dimensionality of Lax-Wendroff flow solvers for compressible fluid flows. When the finite volume ...

    **n Lei, Jiequan Li in Applied Mathematics and Mechanics (2019)

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    Article

    Entropy convergence of new two-value scheme with slope relaxation for conservation laws

    This paper establishes the entropy convergence of a new two-value high resolution finite volume scheme with slope relaxation for conservation laws. This scheme, motivated by the general method of high resoluti...

    Yue Wang, Jiequan Li in Applied Mathematics and Mechanics (2016)

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    Article

    Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations

    We construct classical self-similar solutions to the interaction of two arbitrary planar rarefaction waves for the polytropic Euler equations in two space dimensions. The binary interaction represents a major ...

    Jiequan Li, Yuxi Zheng in Archive for Rational Mechanics and Analysis (2009)