Orthogonality conditions and stability in the Stefan problem with surface tension

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• Mahir Hadzic (University of Zurich, MIT)
• Monday 14 March 2011, 16:00-17:00
• CMS, MR15.

If you have a question about this talk, please contact Prof. Mihalis Dafermos.

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.

This talk is part of the Partial Differential Equations seminar series.

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