Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension

Author(s)
Hadzic, Mahir
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Abstract
We prove nonlinear asymptotic stability of steady spheres in the two-phase Stefan problem with surface tension. Our method relies on the introduction of appropriate orthogonality conditions in conjunction with a high-order energy method.
Date issued
2011-09
URI
http://hdl.handle.net/1721.1/105186
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Archive for Rational Mechanics and Analysis
Publisher
Springer-Verlag
Citation
Hadžić, Mahir. “Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension.” Archive for Rational Mechanics and Analysis 203.3 (2012): 719–745.
Version: Author's final manuscript
ISSN
0003-9527
1432-0673
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