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.AP2022
Asymptotic behavior of conservative solutions to the Hunter-Saxton equation
Yu Gao, Hao Liu, Tak Kwong Wong
In this paper we study the large time asymptotic behavior of (energy) conservative solutions to the Hunter-Saxton equation in a generalized framework that consists of the evolution…
math.AP2022
Stability of peakons of the Camassa-Holm equation beyond wave breaking
Yu Gao, Hao Liu, Tak Kwong Wong
Using a generalized framework that consists of evolution of the solution to the Camassa- Holm equation and its energy measure, we establish the global-in-time orbital stability of…