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  1. No Access

    Article

    Hyperbolic Conservation Laws, Integral Balance Laws and Regularity of Fluxes

    Hyperbolic conservation laws arise in the context of continuum physics, and are mathematically presented in differential form and understood in the distributional (weak) sense. The formal application of the Ga...

    Matania Ben-Artzi, Jiequan Li in Communications on Applied Mathematics and Computation (2023)

  2. 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

    Regularity of Fluxes in Nonlinear Hyperbolic Balance Laws

    This paper addresses the issue of the formulation of weak solutions to systems of nonlinear hyperbolic conservation laws as integral balance laws. The basic idea is that the “meaningful objects” are the fluxes, e...

    Matania Ben-Artzi, Jiequan Li in Communications on Applied Mathematics and Computation (2023)

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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

    Explicit construction of measure solutions of Cauchy problem for transportation equations

    The transportation equations are a mathematical model of zero-pressure flow in gas dynamics and the adhesion particle dynamics system to explain the formation of large scale structures in the universe. With th...

    Shaozhong Cheng, Jiequan Li, Tong Zhang in Science in China Series A: Mathematics (1997)