Orthogonality conditions and stability in the Stefan problem with surface tension
- đ¤ Speaker: Mahir Hadzic (University of Zurich, MIT)
- đ Date & Time: Monday 14 March 2011, 16:00 - 17:00
- đ Venue: CMS, MR15
Abstract
Stefan problem is a well known free boundary problem modeling a liquid-solid phase transition within a fixed domain $\Omega$. We establish a sharp nonlinear stability/instability criterion for the steady state spheres in the Stefan problem with surface tension. The nonlinear stability proof relies on a high-order energy method and the introduction of suitable orthogonality conditions.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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Mahir Hadzic (University of Zurich, MIT)
Monday 14 March 2011, 16:00-17:00