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math-ph2011★ 2 cited
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…
math-ph2011★ 1 cited
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…