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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

    Interaction of Four Rarefaction Waves in the Bi-Symmetric Class of the Two-Dimensional Euler Equations

    The global existence and structures of solutions to multi-dimensional unsteady compressible Euler equations are interesting and important open problems. In this paper, we construct global classical solutions t...

    Jiequan Li, Yuxi Zheng in Communications in Mathematical Physics (2010)

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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)

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    Article

    Simple Waves and a Characteristic Decomposition of the Two Dimensional Compressible Euler Equations

    We present a characteristic decomposition of the potential flow equation in the self-similar plane. The decomposition allows for a proof that any wave adjacent to a constant state is a simple wave for the adia...

    Jiequan Li, Tong Zhang, Yuxi Zheng in Communications in Mathematical Physics (2006)