3 papers
math.AP2023
On explicit geometric solutions of some inviscid flows with free boundary
Yucong Huang, Aram Karakhanyan
The aim of this paper is to discuss some well known explicit examples of the three dimensional inviscid flows with free boundary constructed by John \cite{John} and Ovsyannikov \ci…
math.AP2023
The Well-posedness of Cylindrical Jets with Surface Tension
Yucong Huang, Aram Karakhanyan
In 1879 Rayleigh \cite{Rayleigh} studied the stability of infinite cylindrical jets, inspired by the experiments of Plateau \cite{Plateau}. The principal question that Rayleigh ask…
math.AP2019
Globally Optimal Departure Rates for Several Groups of Drivers
Alberto Bressan, Yucong Huang
The first part of this paper contains a brief introduction to conservation law models of traffic flow on a network of roads. Globally optimal solutions and Nash equilibrium solutio…