Name:

Fudong Wang (王福东)

Contact:

fudong@math.ucf.edu

Current position:

Postdoc @ University of Central Florida
Mentor: Alexander Tovbis

Education:

University of South Florida, Tampa, USA
Degree: PhD in mathematics (GPA: 3.85/4.0)
Dissertation: Long-time asymptotics for the AKNS hierarchy of MKdV-type equations with defocusing/focusing reductions in some \(L^2\) Sobolev spaces.
Advisor: Wen-Xiu Ma

Research interests:

I am currently working as a postdoc at UCF (supervised by Alexander Tovbis), where we mainly focus on developing mathematical foundations for spectral theory of soliton/breather gases. Before, the center of my research is to study the asymptotic behaviour for nonlinear integrable PDEs. Besides the mentioned ones, I am also interested in any fields related to the following keywords: Riemann-Hilbert problems, random matrices, orthogonal polynomial, probability theory, potential theory, asymptotic analysis, singular integral equations and approximation theory.

Publications

  1. Recent developments in spectral theory of the focusing NLS soliton and breather gases: the thermodynamic limit of average densities, fluxes and certain meromorphic differentials; periodic gases, Journal of Physics A , 2022. (with Alexander Tovbis)
  2. A $\bar\partial$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems, Journal of Nonlinear Science, 2022. (with Wen-Xiu Ma)
  3. A Note on Electrified Droplets, Computational Methods and Function Theory, 2021.(with Nathan Hayford)
  4. Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations, European Journal of Applied Mathematics, 2021. (with Wen-Xiu Ma, Yehui Huang)
  5. Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies, Studies in Applied Mathematics, 2020. (with Wen-Xiu Ma, Yehui Huang)
  6. Lump solutions to nonlinear PDEs involving Hirota derivative $D^2_tD_xD_y$, Modern Physics Letters B, 2020. (with Wen-Xiu Ma)