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

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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 
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_a0/
@article{SMJ2_2017_43_1_a0,
     author = {Lukarevski, Martin},
     title = {Center manifolds for evolution equations associated with the {Stefan} problem},
     journal = {Serdica Mathematical Journal},
     pages = {009--020},
     year = {2017},
     volume = {43},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2017_43_1_a0/}
}
TY  - JOUR
AU  - Lukarevski, Martin
TI  - Center manifolds for evolution equations associated with the Stefan problem
JO  - Serdica Mathematical Journal
PY  - 2017
SP  - 009
EP  - 020
VL  - 43
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2017_43_1_a0/
LA  - en
ID  - SMJ2_2017_43_1_a0
ER  - 
%0 Journal Article
%A Lukarevski, Martin
%T Center manifolds for evolution equations associated with the Stefan problem
%J Serdica Mathematical Journal
%D 2017
%P 009-020
%V 43
%N 1
%U http://geodesic.mathdoc.fr/item/SMJ2_2017_43_1_a0/
%G en
%F SMJ2_2017_43_1_a0