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19932025
most citedCahn-Hilliard Equations and Phase Transition Dynamics for Binary Systems

44 citations · 312 across the 44 of their papers we have counts for

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Showing 2011Show all

7 papers · 1 filter

math-ph2011★ 4 cited

Remarks on the Rayleigh-Benard Convection on Spherical Shells

Shouhong Wang, Ping Yang

The main objective of this article is to study the effect of spherical geometry on dynamic transitions and pattern formation for the Rayleigh-Benard convection. The study is mainly…

physics.ao-ph2011★ 3 cited

Tropical Atmospheric Circulations with Humidity Effects

Chun-Hsiung Hsia, Chang-Shou Lin, Tian Ma +1

The main objective of this article is to study the effect of the moisture on the planetary scale atmospheric circulation over the tropics. The modeling we adopt is the Boussinesq e…

nlin.PS2011★ 1 cited

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…

cond-mat.stat-mech2011★ 2 cited

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…

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…

math-ph2011★ 12 cited

Dynamic Transitions for Quasilinear Systems and Cahn-Hilliard equation with Onsager mobility

Honghu Liu, Taylan Sengul, Shouhong Wang

The main objectives of this article are two-fold. First, we study the effect of the nonlinear Onsager mobility on the phase transition and on the well-posedness of the Cahn-Hilliar…