Yuxi Zheng

  • Department Head and Francis R. Pentz and Helen M. Pentz Professor of Science, Mathematics
    • 1927 Citations
    • 30 h-Index
    1989 …2020
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    • 4 Similar Profiles
    Variational Equation Mathematics
    Cauchy Problem Mathematics
    Euler Equations Mathematics
    Wave equation Mathematics
    Euler equations Engineering & Materials Science
    Weak Solution Mathematics
    Wave equations Engineering & Materials Science
    Global Existence Mathematics

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    Research Output 1989 2020

    • 1927 Citations
    • 30 h-Index
    • 61 Article
    • 1 Chapter

    The Riemann problem for a blood flow model in arteries

    Sheng, W., Zhang, Q. & Zheng, Y., Jan 1 2020, In : Communications in Computational Physics. 27, 1, p. 227-250 24 p.

    Research output: Contribution to journalArticle

    Open Access
    Cauchy problem
    blood flow
    arteries
    uniqueness
    elastic waves

    No blow-up to a variational wave equation in liquid crystals

    Huang, J. & Zheng, Y., Feb 1 2016, In : Journal of Mathematical Physics. 57, 2, 021506.

    Research output: Contribution to journalArticle

    Variational Equation
    Cauchy problem
    Nematic Liquid Crystal
    Smooth Solution
    Liquid Crystal
    7 Citations (Scopus)

    The structure of solutions near a sonic line in gas dynamics via the pressure gradient equation

    Zhang, T. & Zheng, Y., Nov 1 2016, In : Journal of Mathematical Analysis and Applications. 443, 1, p. 39-56 18 p.

    Research output: Contribution to journalArticle

    Gas dynamics
    Gas Dynamics
    Pressure Gradient
    Pressure gradient
    Boundary conditions
    12 Citations (Scopus)

    The regularity of semihyperbolic patches near sonic lines for the 2-d euler system in gas dynamics

    Song, K., Wang, Q. & Zheng, Y., Jan 1 2015, In : SIAM Journal on Mathematical Analysis. 47, 3, p. 2200-2219 20 p.

    Research output: Contribution to journalArticle

    Euler System
    2-D Systems
    Gas dynamics
    Gas Dynamics
    Patch
    12 Citations (Scopus)

    Sonic-supersonic solutions for the steady Euler equations

    Zhang, T. & Zheng, Y., Jan 1 2014, In : Indiana University Mathematics Journal. 63, 6, p. 1785-1817 33 p.

    Research output: Contribution to journalArticle

    Euler Equations
    Curve
    Shock
    Euler System
    Transonic Flow