|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 listsScott Polar Research Institute - other talks Visiting Scholar Seminars 9th Cambridge Immunology Forum - Visions of Immunology
Other talksResidential construction activity in OECD economies The search for neurophysiological biomarkers of dementia using MEG and Latent variable models: factor analysis and all that Borderlands and boundaries: forms of identity at the frontier A Lost Man Will Reach Home, but a Lost Bird Will be Lost Forever Inferno XXVI, Purgatorio XXVI, Paradiso XXVI