2 papers
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…