Dr Yuzhao Wang PhD

Dr Yuzhao Wang

School of Mathematics
Lecturer

Contact details

Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT

Yuzhao Wang is a Lecturer in the School of Mathematics.

Yuzhao’s primary research area is mathematical analysis of nonlinear dispersive partial differential equations (PDEs), with tools from harmonic analysis, probability theory, and dynamical systems.

Visit Yuzhao's School page for more information.

Qualifications

  • PhD in Mathematics, Peking University, 2010
  • BSc in Mathematics, Jilin University, 2005

Research

Yuzhao’s primary research area is mathematical analysis of nonlinear dispersive partial differential equations (PDEs), with tools from harmonic analysis, probability theory, and dynamical systems. In particular, he is interested in Strichartz estimates and its applications to dispersive nonlinear PDEs, probabilistic aspects of nonlinear dispersive PDEs, and normal form method applied to nonlinear dispersive PDEs. 

Publications

  • Oh, T., Wang, Y., On the ill-posedness of the cubic nonlinear Schrödinger equation on the circle to appear in An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.)
  • Xiao, J., Wang, Y., A constructive approach to positive solutions of Δ_p u+f(u,∇u)≤0 on Riemannian manifolds, Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 6, 1497--1507
  • Xiao, J., Wang, Y., A uniqueness principle for u^p≤(−Δ)^α/2 u in the Euclidean space, Commun. Contemp. Math. 18 (2016), no. 6, 1650019, 17 pp
  • Liu, Y., Xiao, J., Wang, Y., Nonnegative solutions of a fractional sub-Laplacian differential inequality on Heisenberg group, Dyn. Partial Differ. Equ. 12 (2015), no. 4, 379--403
  • Xiao, J., Wang, Y., Homogeneous Campanato-Sobolev classes, Appl. Comput. Harmon. Anal. 39 (2015), no. 2, 214--247
  • Guo, Z., Oh, T., Wang, Y., Strichartz estimates for Schrödinger equations on irrational tori, Proc. Lond. Math. Soc. 109 (2014), no. 4, 975--1013
  • Guo, Z., Wang, Y., Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations. J. Anal. Math. 124 (2014), 1--38
  • Molinet, L., Wang, Y., Dispersive limit from the Kawahara to the KdV equation, J. Differential Equations 255, (2013), 2196--2219
  • Wang, Y., Periodic nonlinear Schrödinger equation in critical H^s(T^n) spaces, SIAM J. Math. Anal. 45, (2013), 1691--1703
  • Wang, Y., Periodic Cubic Hyperbolic Schrödinger equation on T^2, J. Funct. Anal. 265 (2013), 424--434
  • Wang, Y., Global well-posedness and scattering for derivative Schrödinger equation, Comm. Partial Differential Equations 36 (2011), 1694--1722
  • Guo, Z., Peng, L., Wang, B., Wang, Y., Uniform well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation, Adv. in Math. 228 (2011), 647--677
  • Guo, Z., Wang, Y., On the well-posedness of the Schrödinger-KdV system, J. Differential Equations 249 (2010), 2500--2520