报告题目：The topological and non-topological solution of Chen-Simons Higgs Equations

报告人：湖南农业大学理学院许建开（副教授）

报告时间：11月17日上午9:00-10:30

报告地点：数计学院4号楼229会议室

摘要:  In this talk, we introduce the recent results of Chen-Simons Higgs model which include the existence and uniqueness of topological and non-topological solutions. Furthermore, the asymptotically behavior of solution is also considered.

报告题目：On Exponential Stability of Gravity Driven Viscoelastic Flows

报告人：湖南农业大学理学院许建开（副教授）

报告时间：11月17日上午10:30-11:30

报告地点：数计学院4号楼229会议室

摘要:  We investigate stability of an equilibrium state to a nonhomogeneous incompressible viscoelastic fluid driven by gravity in a bounded domain $\\Omega$. First, we establish a critical number, which depends on the equilibrium density and the gravitational constant, and is a threshold of the elasticity coefficient for instability and stability of the linearized perturbation problem around the equilibrium state. Then we prove that the equilibrium sate is exponential stability provided that $k>k_C$ and the initial disturbance quantities around the equilibrium state satisfy some relations. In particular, if the equilibrium density is a Rayleigh-Taylor (RT) type and $\\bar{\ho}’$ is a constant, our result strictly shows that the sufficiently large elasticity coefficient can prevent the RT instability from occurrence. 

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