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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA, 02139, USA

    Mahir Hadžić

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  1. Mahir Hadžić
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Correspondence to Mahir Hadžić.

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Communicated by C. Dafermos

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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

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