3 papers
math.AP2026
Existence, uniqueness and long-time behavior of the -dissipative solutions to the two-component Hunter-Saxton system
Yu Gao, Hao Liu
In this paper, we construct the explicit characteristics for the -dissipative solutions () to the two-component Hunter--Saxton (2HS) system. Using these characteristi…
math.AP2025
Small Alfvén Number Limit for the Global-in-time Solutions of Incompressible MHD Equations with General Initial Data
Yuan Cai, Xiufang Cui, Fei Jiang +1
The small Alfvén number (denoted by ) limit (one type of large parameter limits, i.e. singular limits) in magnetohydrodynamic (abbr. MHD) equations was first proposed…
math.AP2024
Optimal Savings and Value of Population in A Stochastic Environment: Transient Behavior
Hao Liu, Suresh P. Sethi, Tak Kwong Wong +1
We extend the work on optimal investment and consumption of a population considered in [2] to a general stochastic setting over a finite time horizon. We incorporate the Cobb-Dougl…