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  1. Article

    Preface to the Focused Issue in Honor of Professor Tong Zhang on the Occasion of His 90th Birthday

    Jiequan Li, Wancheng Sheng, Chi-Wang Shu… in Communications on Applied Mathematics and … (2023)

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    Article

    The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section

    The fluid flows in a variable cross-section duct are nonconservative because of the source term. Recently, the Riemann problem and the interactions of the elementary waves for the compressible isentropic gas i...

    Liancheng Dang, Wancheng Sheng in Chinese Annals of Mathematics, Series B (2020)

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    Article

    Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner

    The two-dimensional (2D) pseudo-steady isothermal flow, which is isentropic and irrotational, around a convex corner is studied. The self-similar solutions for the supersonic flow around the convex corner are ...

    Wancheng Sheng, Aidi Yao in Applied Mathematics and Mechanics (2019)

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    The expansion of a wedge of gas into vacuum with small angle in two-dimensional isothermal flow

    In this paper, the authors consider the expansion problem of a wedge of gas into vacuum for the two-dimensional Euler equations in isothermal flow. By the bootstrap** argument, they prove the global existenc...

    Ju Ge, Wancheng Sheng in Chinese Annals of Mathematics, Series B (2016)

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    Generalized δ-entropy condition to Riemann solution for Chaplygin gas in traffic flow

    The Riemann problem for the Aw-Rascle model in the traffic flow with the Delta initial data for the Chaplygin gas is studied. The solutions are constructed globally under the generalized Rankine-Hugoniot relat...

    Wancheng Sheng, Ying Zeng in Applied Mathematics and Mechanics (2015)

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    Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations

    The Riemann problems for the Euler system of conservation laws of energy and momentum in special relativity as pressure vanishes are considered. The Riemann solutions for the pressureless relativistic Euler eq...

    Gan Yin, Wancheng Sheng in Chinese Annals of Mathematics, Series B (2008)

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    Article

    The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics*

    The non-selfsimilar Riemann problem for two-dimensional zero-pressure flow in gas dynamics with two constant states separated by a convex curve is considered. By means of the generalized Rankine-Hugoniot relat...

    Wenhua Sun, Wancheng Sheng in Chinese Annals of Mathematics, Series B (2007)