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arxiv: 1101.5177 · v3 · pith:V3JQQDBQnew · submitted 2011-01-26 · 🧮 math.AP · math-ph· math.MP

Orthogonality conditions and asymptotic stability in the Stefan problem with surface tension

classification 🧮 math.AP math-phmath.MP
keywords asymptoticconditionsmethodorthogonalityproblemstabilitystefansurface
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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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