2017년도 이전 세미나
Stochastic PDEs and its properties
|Category||2016 Fall Math Colloquium|
|날짜||2016-09-09||시간||15:50:00 ~ 18:00:00|
|장소||Math Sci Bldg 404||Host||Kunwoo Kim|
|TOPIC||Stochastic PDEs and its properties|
|소개 및 안내사항||Stochastic PDEs (SPDEs) are PDEs perturbed by noise where noise represents random environment, random potential, or anything that cannot be described in a deterministic way. Since noise is ubiquitous in nature, SPDEs are now widely used as mathematical models for various physical systems.
In the first part of this talk, we consider some basic theories of SPDEs such as existence and uniqueness of solutions to stochastic heat equations. In addition, we also study some properties which can also be seen in deterministic heat equations.
In the second part of this talk, we study intermittency which means that solutions to certain SPDEs show very high peaks on small islands of different scales. We study the geometric structure of the high peaks of certain SPDEs by using a macroscopic multi-fractal analysis.