3 papers
math.CV2021
A Note on Electrified Droplets
Nathan Hayford, Fudong Wang
We give an in-depth analysis of a 1-parameter family of electrified droplets first described in D. Khavinson et. al. (2005). We also investigate a technique for searching for new s…
nlin.SI2020
A $\dbar$-steepest descent method for oscillatory Riemann-Hilbert problems
Fudong Wang, Wen-Xiu Ma
We study the asymptotic behavior of Riemann-Hilbert problems (RHP) arising in the AKNS hierarchy of integrable equations. Our analysis is based on the $\dbar$-steepest descent meth…
math-ph2019
Long-time asymptotic behaviour for the fifth order modified Korteweg-de Vries equation
Fudong Wang, Wen-Xiu Ma
Following Deift-Zhou's nonlinear steepest descent method, the long-time asymptotic behavior for the Cauchy problem of the 5th order modified Korteweg-de Vries equation is analyzed.…