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math.AP2023
Rigidity of Steady Solutions to the Navier-Stokes Equations in High Dimensions and its applications
Jeaheang Bang, Changfeng Gui, Hao Liu +2
Solutions with scaling-invariant bounds such as self-similar solutions, play an important role in the understanding of the regularity and asymptotic structures of solutions to the…
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…