Geodesic
Center manifolds for evolution equations associated with the Stefan problem
Serdica Mathematical Journal, Tome 43 (2017) no. 1, pp. 009-020

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Evolution equations can be used for solving the Stefan problem. We show the existence of a center manifold for an evolution equation that is associated with a quasilinear Stefan problem with variable surface tension and undercooling. This generalizes previous result for existence of center manifold for a Stefan problem where the relaxation coefficient is constant.
Keywords: Center manifold, Evolution equation, Stefan problem, Free boundary problem, 35R35, 35B65, 35J70 
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     author = {Lukarevski, Martin},
     title = {Center manifolds for evolution equations associated with the {Stefan} problem},
     journal = {Serdica Mathematical Journal},
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     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2017_43_1_a7/}
}
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Lukarevski, Martin. Center manifolds for evolution equations associated with the Stefan problem. Serdica Mathematical Journal, Tome 43 (2017) no. 1, pp. 009-020. http://geodesic.mathdoc.fr/item/SMJ2_2017_43_1_a7/