学术报告(孙文杰 12.3)

On stiff problems via Dirichlet forms

发布人:杨晓静 发布日期:2020-11-24
主题
On stiff problems via Dirichlet forms
活动时间
-
活动地址
平台:腾讯会议, 会议ID:622 379 759
主讲人
孙文杰博士后 中科院数学与系统科学研究院
主持人
巫静

Abstract: The stiff problem is concerned with a thermal conduction model with a singular barrier of zero volume. A special case related to one-dimensional Brownian motion is studied in [Lejay, Ann. Appl. Probab., 2016], where the so-called snapping out Brownian motion is constructed and served as the probabilistic interpretation of the stiff problem. In this talk, we shall study the general stiff problem in several cases, including one-dimensional diffusions and two-dimensional Brownian motion. It appears that phase transition will appear, depending on the thermal conductance of the singular barrier, and we shall give probabilistic descriptions of the phases arising in the stiff problem. This talk is based on an ongoing work with Liping Li.