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    Article

    Two-Dimensional Pseudosteady Flows Around a Sharp Corner

    We consider two-dimensional (2D) pseudosteady flows around a sharp corner. This problem can be seen as a 2D Riemann initial and boundary value problem (IBVP) for the compressible Euler system. The initial stat...

    Geng Lai, Wancheng Sheng in Archive for Rational Mechanics and Analysis (2021)

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    A Cartoon for the Climbing Ramp Problem of a Shock and von Neumann Paradox

    The climbing ramp problem of a shock for two-dimensional scalar conservation laws is considered. By use of the generalized characteristic analysis method, we prove constructively that there are only three conf...

    Wancheng Sheng, Tong Zhang in Archive for Rational Mechanics and Analysis (2007)