40 citations · 246 across the 34 of their papers we have counts for
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math.AP2005
Pattern formation (II): The Turing Instability
Yan Guo, Hyung Ju Hwang
We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general pert…
math.AP2005
Variational approach to nonlinear gravity-driven instabilities in a MHD setting
Hyung Ju Hwang
We establish a variational framework for nonlinear instabilities in a setting of the ideal magnetohydrodynamic (MHD) equations. We apply a variational method to various kind of smo…
math.AP2005
Pattern formation (I): The Keller-Segel Model
Yan Guo, Hyung Ju Hwang
We investigate nonlinear dynamics near an unstable constant equilibrium in the classical Keller-Segel model. Given any general perturbation of magnitude , we prove that its nonl…