3 papers
math.AP2023
Long-time asymptotic behavior of the Hunter-Saxton equation
Luman Ju, Kai Xu, Engui Fan
With -generalization of the Deift-Zhou steepest descent method, we investigate the long-time asymptotics of the solution to the Cauchy problem for the Hunter-Saxton…
physics.flu-dyn2022
Regularized Optimal Mass Transport with Nonlinear Diffusion
Kaiming Xu, Xinan Chen, Helene Benveniste +1
In this paper, we combine nonlinear diffusion with the regularized optimal mass transport (rOMT) model. As we will demonstrate, this new approach provides further insights into cer…
math.AP2022
The complex mKdV equation with step-like initial data: Large time asymptotic analysis
Zhaoyu Wang, Kai Xu, Engui Fan
In this paper, we study large-time asymptotics for the complex modified Korteveg-de Vries equation \begin{equation} u_t + \frac{1}{2}u_{xxx}+3|u|^2 u_x=0, \end{equation} with the s…