4 papers · 1 filter
On traveling wave solutions of water-wave equations in curved annular domains
Liang Li, Quan Wang
This paper presents a pioneering investigation into the existence of traveling wave solutions for the two-dimensional Euler equations with constant vorticity in a curved annular do…
Stability and bifurcation of Navier-Stokes equations in an annular domain with mixed boundary conditions
Zhibo Hou, Liang Li, Quan Wang
We study the existence and stability of non-trivial steady-state solutions to the two-dimensional incompressible Navier-Stokes equations in an annular domain $Ω= B(0,b) \setminus…
On the Stability and Instability of Non-Homogeneous Fluid in a Bounded Domain Under the Influence of a General Potential
Liang Li, Tao Tan, Quan Wang
We investigate the instability and stability of specific steady-state solutions of the two-dimensional non-homogeneous, incompressible, and viscous Navier-Stokes equations under th…
On the dynamical Rayleigh-Taylor instability of non-homogeneous fluid in annular region with Naiver-slip boundary
Liang Li, Quan Wang
This paper investigates the well-posedness and Rayleigh-Taylor (R-T) instability for a system of two-dimensional nonhomogeneous incompressible fluid, subject to the non-slip and Na…