Jingyang Shu

  • I am a Ph.D. candidate in the Department of Mathematics.
  • My advisor is Professor John K. Hunter. My research interests include fluid mechanics, nonlinear hyperbolic PDEs, and dispersive waves. Here is my CV.
    Email: jyshu at (namely, "@") ucdavis dot (namely, ".") edu
    Office: MSB 2123
    Office Hours: can be found here
    Mailing Address: Department of Mathematics
    University of California, Davis
    One Shields Avenue
    Davis, 95616, CA, USA
    Webpage: http://math.ucdavis.edu/~shu

    2020  (expected)      Ph.D. in MathematicsUniversity of California, Davis
    2016 M.A. in MathematicsUniversity of California, Davis
    2014 B.S. in Mathematics (Cum Laude)                Renmin University of China

    (Papers listed here might be more updated than the ArXiv version)

    1. On the approximation of vorticity fronts by the Burgers-Hilbert equation, with J. K. HUNTER, R. C. MORENO-VASQUEZ, and Q. ZHANG. Preprint available upon request.
    2. Global Solutions for a Family of GSQG Front Equations, with J. K. HUNTER and Q. ZHANG. Preprint 2020.
    3. Contour Dynamics for Surface Quasi-Geostrophic Fronts, with J. K. HUNTER and Q. ZHANG. Nonlinearity, to appear.
    4. Two-Front Solutions of the SQG Equation and its Generalizations, with J. K. HUNTER and Q. ZHANG. Commun. Math. Sci., to appear.
    5. Fronts for the SQG Equation: A Review. Hyperbolic Problems: Theory, Numerics, Applications, 630--638, AIMS Ser. Appl. Math., 10, Am. Inst. Math. Sci. (AIMS), Springfield, MO, 2020.
    6. Global Solutions of a Surface Quasi-Geostrophic Front Equation, with J. K. HUNTER and Q. ZHANG. Preprint 2018.
    7. Local Well-posedness of an Approximate Equation for SQG Fronts, with J. K. HUNTER and Q. ZHANG. J. Math. Fluid Mech., 20 (2018), no. 4, 1967--1984.
    8. Regularized and Approximate Equations for Sharp Fronts in the Surface Quasi-Geostrophic Equation and its Generalizations, with J. K. HUNTER. Nonlinearity, 31 (2018), no. 6, 2480--2517.

      Current (Spring, 2020):
      MAT 221A

      MAT 180 (Set Theory and the Continuum Hypothesis), MAT 201A, MAT 201B, MAT 201C, MAT 202, MAT 205A, MAT 205B, MAT 206 (audited), MAT 207A (audited), MAT 207B (audited), MAT 215A, MAT 218A, MAT 218B, MAT 218C, MAT 226A, MAT 228A, MAT 228B, MAT 235A, MAT 235B, MAT 240A, MAT 240B, MAT 250A, MAT 250B, MAT 390

      MAT 280 (Stability and Singularity Formation in Fluid Flow, with Prof. Steve Shkoller, 2019W)
      MAT 280 (Introduction to Differential Geometry and General Relativity, with Prof. Blake Temple, 2017W)
      MAT 280 (Nonlinear and Nonlocal Evolutionary Partial Differential Equations, with Prof. Rafael Granero Belinchón, 2016S)
      MAT 298 (Group Reading, with Prof. Joseph A. Biello, 2017F)
      - Introduction to PDEs and Waves for the Atmosphere and Ocean - Andrew J. Majda
      MAT 299 (Individual Study, with Prof. John K. Hunter, 2015S-2016S)
      - Fourier Analysis - Javier Duoandikoetxea
      - Vorticity and Incompressible Flow - Andrew J. Majda, Andrea L. Bertozzi
      - Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models - Franck Boyer, Pierre Fabrie
      - Nonlinear Dispersive Equations: Local and Global Analysis - Terence Tao
      - Selected papers

      Current (Spring, 2020):
      No Teaching

      Past: (Course webpages are no longer maintained)
      Associate Instructor  MAT 16A (2015SSII), MAT 22B (2016SSI), MAT 125B (2018SSII)
      Teaching Assistant  MAT 17B, MAT 21A, MAT 21B, MAT 21BH, MAT 21C, MAT 21D, MAT 22A, MAT 118A, MAT 125A, MAT 201A, MAT 201B, MAT 207A
      Lead TA  MAT 21A, MAT 21B, MAT 21C, MAT 22A, MAT 22B
      Reader  MAT 16B, MAT 21C, MAT22A, MAT 22B

      Scribed Notes:
      An Introduction to Instabilities in Interfacial Fluid Dynamics (USC Summer School on Mathmatical Fuilds, 2017)

      (All copyrights belong to their respective owners)

      Department of Mathematics

      Analysis of PDEs Preprint Server
      Dispersive Wiki
      Water Waves Wiki
      Tao's What's new blog
      Hunter's Teaching Page
      Taylor's Homepage

      The Internet Book on Fluid Dynamics
      Basics of Fluid Dynamics
      Fourier Analysis (UCLA MATH 247A)
      Fourier Analysis (UCLA MATH 247B)
      Harmonic Analysis in the Phase Plane (UCLA MATH 254A)
      Operator Semigroups and Dispersive Equations