On the Stefan problem with a small parameter

@article{GalinaI2008,
abstract = {We consider the multidimensional two-phase Stefan problem with a small parameter κ in the Stefan condition, due to which the problem becomes singularly perturbed. We prove unique solvability and a coercive uniform (with respect to κ) estimate of the solution of the Stefan problem for t ≤ T₀, T₀ independent of κ, and the existence and estimate of the solution of the Florin problem (Stefan problem with κ = 0) in Hölder spaces.},
author = {Galina I. Bizhanova},
journal = {Banach Center Publications},
keywords = {free boundary problem; parabolic equation; small parameter; Hölder space; existence; estimate of solution; Stefan problem; Florin problem},
language = {eng},
number = {1},
pages = {43-63},
title = {On the Stefan problem with a small parameter},
url = {http://eudml.org/doc/281622},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Galina I. Bizhanova
TI - On the Stefan problem with a small parameter
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 43
EP - 63
AB - We consider the multidimensional two-phase Stefan problem with a small parameter κ in the Stefan condition, due to which the problem becomes singularly perturbed. We prove unique solvability and a coercive uniform (with respect to κ) estimate of the solution of the Stefan problem for t ≤ T₀, T₀ independent of κ, and the existence and estimate of the solution of the Florin problem (Stefan problem with κ = 0) in Hölder spaces.
LA - eng
KW - free boundary problem; parabolic equation; small parameter; Hölder space; existence; estimate of solution; Stefan problem; Florin problem
UR - http://eudml.org/doc/281622
ER -