12 citations · 21 across the 7 of their papers we have counts for
7 papers
Dynamic Transitions of Quasi-Geostrophic Channel Flow
Henk Dijkstra, Taylan Sengul, Jie Shen +1
The main aim of this paper is to describe the dynamic transitions in flows described by the two-dimensional, barotropic vorticity equation in a periodic zonal channel. In \cite{CGS…
Pattern Formations of 2D Rayleigh-Bènard Convection with No-Slip Boundary Conditions for the Velocity at the Critical Length Scales
Taylan Sengul, Jie Shen, Shouhong Wang
We study the Rayleigh-B{é}nard convection in a 2-D rectangular domain with no-slip boundary conditions for the velocity. The main mathematical challenge is due to the no-slip bound…
Pattern Formation in Rayleigh Benard Convection
Taylan Sengul, Shouhong Wang
The main objective of this article is to study the three-dimensional Rayleigh-Benard convection in a rectangular domain from a pattern formation perspective. It is well known that…
Dynamic Transitions and Pattern Formations for Cahn-Hilliard Model with Long-Range Repulsive Interactions
Honghu Liu, Taylan Sengul, Shouhong Wang +1
The main objective of this article is to study the order-disorder phase transition and pattern formation for systems with long-range repulsive interactions. The main focus is on th…
Dynamic Transitions of Surface Tension Driven Convection
Henk Dijkstra, Taylan Sengul, Shouhong Wang
We study the well-posedness and dynamic transitions of the surface tension driven convection in a three-dimensional (3D) rectangular box with non-deformable upper surface and with…
Pattern Formation and Dynamic Transition for Magnetohydrodynamic Convection
Taylan Sengul, Shouhong Wang
The main objective of this paper is to describe the dynamic transition of the incompressible MHD equations in a three dimensional (3D) rectangular domain from a perspective of patt…