2 papers
math.OC2025
A class of generalized Nesterov's accelerated gradient method from dynamical perspective
Xu Cheng, Jiaqi Liu, Zaijiu Shang
We propose a class of \textit{Euler-Lagrange} equations indexed by a pair of parameters () that generalizes Nesterov's accelerated gradient methods for convex () and st…
math.AP2025
Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation
Samir Donmazov, Jiaqi Liu, Peter Perry
We prove large time asymptotics for solutions of the KP I equation with small initial data. Our assumptions on the initial data rule out lump solutions but give a precise descripti…