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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…
math.AP1998
Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics
Yan Guo, A. Shadi Tahvildar-Zadeh
We prove that for large enough data, the life span of smooth solutions to the Cauchy problem for the following two quasilinear hyperbolic systems is finite: (1) equations of relati…