5 papers · 1 filter
A Monotonicity formula for almost self-similar suitable weak solutions to the stationary Navier-Stokes equations in
Yucong Huang, Aram Karakhanyan
In this paper we show that a suitable weak solution to the stationary Navier-Stokes system in , cannot behave like a self-similar function of degree negative one if th…
Asymptotic Stability of 3D Out-flowing Compressible Viscous Fluid under Non-Spherical Perturbation
Yucong Huang, Shinya Nishibata
We study an outflow problem for the -dimensional isentropic compressible Navier-Stokes equations. The fluid under consideration occupies the exterior domain of the unit ball $Ω=…
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…
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…
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…