|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Stefan problem: well-posedness and stability theories in presence and absence of surface tension
If you have a question about this talk, please contact Clement Mouhot.
The Stefan problem is a well-known free boundary problem modeling phase transitions, melting/freezing phenomena, or nucleation. In the presence of surface tension, it serves as a micro-scale description of a phase transition, while in the absence thereof it acts as a macro-scale description. Mathematically, in the former case it has a flavor of a non-local curvature-driven flow, while in the latter case it changes its character into a non-linear system of parabolic-hyperbolic type, amenable to maximum principle techniques.
I will survey recent results on the well-posedness and stability theory, introducing a new unifying functional framework for the two problems. The first consequence is a rigorous vanishing surface tension limit. Moreover, I will show a global stability result in absence of surface tension, thereby explaining a hybrid methodology combining high-order energy methods and quantitative Hopf-type lemmas.
This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsCambridge University United Nations Association (CUUNA) CU Truth Movement Society DAK Seminars
Other talksSummit diplomacy or top level of the Council? The European Council's role in energy and climate change before and after Lisbon Question writing Tunnelling Under Cities, Advances in Research and Practice Welding & Joining Developments in the Aerospace Industry CCA-MASDOC conference, day 2 Workshop in Microeconomics