3 papers
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-ph1999
Existence and stability of Camm type steady states in galactic dynamics
Yan Guo, Gerhard Rein
We prove the existence and nonlinear stability of Camm type steady states of the Vlasov-Poisson system in the gravitational case. The paper demonstrates the effectiveness of an app…
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…