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19982026
most citedDecay and Continuity of Boltzmann Equation in Bounded Domains

202 citations · 1.7k across the 67 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

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…