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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 2:30-2330 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

Math 250 Ordinary Differential Equations, Spring 2015


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. To appear on Discrete Contin. Dyn. Syst. A, (with Alberto Bressan).
  • Nonlinear stability of supersonic contact discontinuities in three-dimensional compressible steady flows. To appear on SIAM Journal of Mathematical Analysis, (with Ya-Guang Wang).
  • Nonlinear geometric optics for contact discontinuities in three-dimensional compressible isentropic steady flows. Journal of Mathematical Physics 55, 091504 (2014), (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