|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 listsMRC Biostatistics Unit Seminars Data Insights Cambridge 4cmr seminar
Other talksStar Formation around Dusty Quasars at z~2 Memory neurons in human cortex (title to be confirmed) Epigenetics, Obesity and Metabolism Novel Regulation of the Pulmonary Endothelium Ageing 2016 Health Economics @ Cambridge seminar