学术报告
Global Large Solutions to a Viscous Heat-Conducting One-Dimensional Gas with Temperature-Dependent Viscosity
题目：Global Large Solutions to a Viscous Heat-Conducting One-Dimensional Gas with Temperature-Dependent Viscosity
报告人：赵会江 教授（武汉大学数学数学与统计学院）
摘要：In this talk, it is proved that the Cauchy problem of Rosenau equation is global well-posed for initial data in H^s(R)(s> 0), and ill-posed for initial data in H^s(R)(s < 0) in the sense that the flow mapping is not continuous at the origin from H^s(R) to D'(R) at any fixed t > 0 small enough. Moreover, it is showed that the solution to the Cauchy problem of Rosenau equation has unique continuation property under two sufficient conditions on initial data. On the other hand, It is also proved that the initial boundary value problem has a unique global distributional solution, and the solution mapping is Lipschitz continuous in a neighborhood of initial data.
时间：12月4日（周五）16:00-17:00
地点：首都师范大学北一区文科楼 707 教室
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