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Fang Yu

Research Associate

The Pennsylvania State University
Department of Mathematics

Ph.D. of Mathematics
Department of Mathematics, Shanghai Jiao Tong University, China

Office: 218 McAllister Building
Phone: (814) 865-5201
Email: fuy3@psu.edu

Office Hours:
Monday 10:30-11:30 am
Thursday 1:30-2:30 pm
or by appointment


Teaching:

Math 250 Ordinary Differential Equations, Fall 2013

Math 250 Ordinary Differential Equations, Spring 2014

Math 251 Ordinary and Partial Differential Equations, Fall 2014


Research Interests:

  • Nonlinear Partial Differential Equations
  • Conservation Laws
  • Traffic Flows
  • Stability of Vortex Sheets

  • Recent Publications and Preprints:

  • Continuous Riemann Solvers for Traffic Flow at a Junction. Submitted, (with Alberto Bressan).
  • Nonlinear geometric optics for contact discontinuities in three-dimensional compressible isentropic steady flows. Submitted, (with Ya-Guang Wang).
  • Nonlinear stability of supersonic contact discontinuities in three-dimensional compressible steady flows. Submitted, (with Ya-Guang Wang).
  • Stability of contact discontinuities in three-dimensional compressible steady flows. Journal of Differential Equations, 255 (2013), 1278-1356, (with Ya-Guang Wang).
  • Stabilization effect of magnetic fields on two-dimensional compressible current-vortex sheets. Archive for Rational Mechanics and Analysis, 208 (2013), 341-389, (with Ya-Guang Wang).
  • Variational analysis of Nash equilibria for a model of traffic flow. Quarterly of Applied Mathematics, 70 (2012), 495-515, (with Alberto Bressan, Cheng-jie Liu and Wen Shen).

  • Conference Reports:

  • Jun. 24-28, 2013, 30 minutes talk with the title "Stability of supersonic contact discontinuities for three-dimensional compressible steady Euler flows", in The Second Pacific Rim Mathematical Association Congress, Shanghai
  • Jun. 12-17, 2012, 30 minutes talk with the title "Stability of contact discontinuities in three-dimensional compressible isentropic steady flow", in the International Conference on Nonlinear Evolutionary Partial Differential Equations and Applications, Shanghai
  • May 26-27, 2012, 30 minutes talk with the title "Stabilization effect of magnetic fields on two-dimensional compressible current-vortex sheets", at the Ninth Doctoral Forum of Shanghai Jiao Tong University, Shanghai
  • Nov. 25-27, 2011, 20 minutes talk with the title "Stabilization effect of magnetic fields on two-dimensional compressible current-vortex sheets", at the Workshop on Partial Differential Equations in Yangtze River Delta, Ningbo