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A center manifold reduction approach to the Darcy-Bénard convection problem with non-zero Prandtl number
Liang Li, Quan Wang
We study the bifurcation of two-dimensional Darcy-Bénard convection (DBC) in a rectangular domain, a canonical model for thermal convection in porous media with applications in geo…
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 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…