Skip to main content

14 Result(s)

within Wancheng Sheng Remove this filter English Remove this filter

and

  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)

    Download PDF (357 KB) View Article

  2. No Access

    Article

    The Stability of the Delta Wave to Pressureless Euler Equations with Viscous and Flux Perturbations

    This paper is concerned with the pressureless Euler equations with viscous and flux perturbations. The existence of Riemann solutions to the pressureless Euler equations with viscous and flux perturbations is ...

    Sijie Liu, Wancheng Sheng in Acta Mathematica Scientia (2022)

  3. No Access

    Article

    Interaction of elementary waves for the Aw–Rascle traffic flow model with variable lane width

    In this paper, we consider the interaction of elementary waves for the Aw–Rascle (AR) traffic flow model with variable lane width. The model is established based on the conservation laws where the lane width i...

    Qinglong Zhang, Wancheng Sheng in Zeitschrift für angewandte Mathematik und Physik (2021)

  4. No Access

    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)

  5. No Access

    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)

  6. No Access

    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)

  7. No Access

    Article

    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)

  8. No Access

    Article

    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)

  9. No Access

    Article

    Degenerate Goursat-type boundary value problems arising from the study of two-dimensional isothermal Euler equations

    As a ladder step to study transonic problems, we investigate two families of degenerate Goursat-type boundary value problems arising from the two-dimensional pseudo-steady isothermal Euler equations. The first...

    Yanbo Hu, Jiequan Li, Wancheng Sheng in Zeitschrift für angewandte Mathematik und Physik (2012)

  10. No Access

    Article

    Transonic shock and supersonic shock in the regular reflection of a planar shock

    We study the regular reflection problem of a planar shock. The criterion of regular reflection of a planar shock for polytropic gases is given, which is the expression of critical angle of incidence ...

    Wancheng Sheng, Gan Yin in Zeitschrift für angewandte Mathematik und Physik (2009)

  11. No Access

    Article

    The generalized Riemann problem for a scalar Chapman–Jouguet combustion model

    The generalized Riemann problem for a scalar Chapman–Jouguet combustion model in a neighborhood of the origin (t > 0) on the (x, t) plane is studied. Under the entropy conditions, we obtain the solutions construc...

    Meina Sun, Wancheng Sheng in Zeitschrift für angewandte Mathematik und Physik (2009)

  12. No Access

    Article

    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)

  13. No Access

    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)

  14. No Access

    Article

    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)