Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension
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205_2011_Article_463.pdf
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342.36 KB
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Adobe PDF
Checksum (MD5)
10fbebdc9874e20528c3d086ebc5f4b2
Author(s)
Hadzic, Mahir
Date Issued
September 2011
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00205-011-0463-6
