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.
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Hadžić, M. Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension. Arch Rational Mech Anal 203, 719–745 (2012). https://doi.org/10.1007/s00205-011-0463-6
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DOI: https://doi.org/10.1007/s00205-011-0463-6