4 citations · 7 across the 9 of their papers we have counts for
9 papers · 1 filter
On the characterization, existence and uniqueness of steady solutions to the hydrostatic Euler equations in a nozzle
Wang Shing Leung, Tak Kwong Wong, Chunjing Xie
Incompressible Euler flows in narrow domains, in which the horizontal length scale is much larger than other scales, play an important role in applications, and their leading-order…
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…
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…
Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus
Jin Woo Jang, Robert M. Strain, Tak Kwong Wong
Although the nuclear fusion process has received a great deal of attention in recent years, the amount of mathematical analysis that supports the stability of the system seems to b…
Regularity structure of conservative solutions to the Hunter-Saxton equation
Yu Gao, Hao Liu, Tak Kwong Wong
In this paper we characterize the regularity structure, as well as show the global-in-time existence and uniqueness, of (energy) conservative solutions to the Hunter-Saxton equatio…
Axisymmetric flow of ideal fluid moving in a narrow domain: a study of the axisymmetric hydrostatic Euler equations
Robert M. Strain, Tak Kwong Wong
In this article we will introduce a new model to describe the leading order behavior of an ideal and axisymmetric fluid moving in a very narrow domain. After providing a formal der…