学术报告
报告题目一：Some developments on the relativistic Boltzmann equation
报 告 人：喻洪俊教授（华南师范大学）
报告时间：10月11日 （周日） 上午09:00-09:40
报告摘要: We first survey some partial results on the relativistic Boltzmann equation. After that we will discuss about some recent results of the relativistic Boltzmann equation around the global relativistic Maxwellians.
报告题目二：Self-similar Singular Solution for a Non-Divergence Form Equation
报 告 人：金春花教授（华南师范大学）
报告时间：10月11日 （周日） 上午09:40-10:20
报告摘要：In this paper, we study the self-similar singular solutions of a non-divergence form equation. We first establish the existence of self-similar singular solutions,On the basis of this, we also give the convergent rates of these solutions on the boundary of the supports. At last, we also consider the convergent speeds of solutions, and compare which with Dirac function as $t$ tends to infinity.
报告题目三：Multiple solutions of steady state PNP-steric systems
报 告 人：林太家教授（台湾大学）
报告时间：10月11日 （周日） 上午10:30-11:10
报告摘要: The Poisson-Nernst-Planck （PNP) system is an important model to describe ion transport in ionic liquids having many applications in biology, chemistry and physics. The model works well for dilute electrolytes but it should be modified when ionic size effects are considered for crowded ions. This motivates us to study PNP systems with steric effects, called PNP-steric systems. We prove that there are two steady state solutions of PNP-steric equations for (a) three types of ion species (two types of cations and one type of anion) with a positive constant permanent charge, and (b) four types of ion species (two types of cations and their counter-ions) with a constant permanent charge but no sign condition. The excess currents (due to steric effects) associated with these two steady state solutions are derived and expressed as two distinct formulas. Our results indicate that PNP-steric equations may become a useful model to study spontaneous gating of ion channels.
报告题目四：Gevrey Class Smoothing Effect for the Prandtl Equation
报 告 人：李维喜教授（武汉大学）
报告时间：10月11日 （周日） 上午11:10-11:50
报告摘要: In this talk, we study Gevrey smoothing effects for Prandtl equation, and for given initial data which lies in some kind Sobolev space, we prove that any local solution will belong to some Gevrey space at positive time, provided the Oleinik's monotonicity assumption is fulfilled. This is a joint work with Di Wu and Chao-jiang Xu
报告地点：4号楼4232室
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数学学院
2015年10月10日