|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 listsDPMMS Seminar Horizon Seminars Reproduction on Film 3: Making Babies
Other talksInvestigation of priming effects on associative memory The Surrey Communication and Language in Education Study (SCALES): a population study of language impairment at school entry The 2015 Pregnancy Summit George Eliot and the Religion of Favourable Chance OPUS - Keep track of your research data Roles of cytoskeleton in hippocampal synaptic plasticity