Name:
Fudong Wang (王福东)
Contact:
fudong (subs(@=at,at)) gbu.edu.cn
Current position:
Assistant Professor at Great Bay University(GBU), China [大湾区大学].
Research interests:
I am currently working as an math assistant professor at GBU. My current research 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 by means of Riemann-Hilbert problems and nonlinear steepest descent method.
Besides the mentioned ones, I am also interested
in other 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.
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
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
Publications
- 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)
- A $\bar\partial$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems, Journal of Nonlinear Science, 2022. (with Wen-Xiu Ma)
- A Note on Electrified Droplets, Computational Methods and Function Theory, 2021.(with Nathan Hayford)
- 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)
- Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies, Studies in Applied Mathematics, 2020. (with Wen-Xiu Ma, Yehui Huang)
- Lump solutions to nonlinear PDEs involving Hirota derivative $D^2_tD_xD_y$, Modern Physics Letters B, 2020. (with Wen-Xiu Ma)