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

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

2011-01-26

arxiv.org/abs/1101.5177v3

Mathematics

Analysis of PDEs

25 pages, important references added, two remarks added, typos corrected

Scientific paper

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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