Geodesic
Exact and approximate solutions to the Stefan problem in ellipsoidal coordinates
Eurasian mathematical journal, Tome 13 (2022) no. 3, pp. 51-66

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we present exact and approximate solutions of the Stefan problems in ellipsoidal coordinates. We consider two models of electrical contact heating for melting process. The first problem describes the contact heating for liquid and solid zones based on the two-phase Stefan problem, where time $t$ is present as a parameter. Contact heating including softening processes are described by a mathematical model based on the three-phase Stefan problem for the ellipsoidal heat equation. Numerical results are presented and discussed. 
@article{EMJ_2022_13_3_a4,
     author = {S. A. Kassabek and S. N. Kharin and D. Suragan},
     title = {Exact and approximate solutions to the {Stefan} problem in ellipsoidal coordinates},
     journal = {Eurasian mathematical journal},
     pages = {51--66},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2022_13_3_a4/}
}
TY  - JOUR
AU  - S. A. Kassabek
AU  - S. N. Kharin
AU  - D. Suragan
TI  - Exact and approximate solutions to the Stefan problem in ellipsoidal coordinates
JO  - Eurasian mathematical journal
PY  - 2022
SP  - 51
EP  - 66
VL  - 13
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2022_13_3_a4/
LA  - en
ID  - EMJ_2022_13_3_a4
ER  - 
%0 Journal Article
%A S. A. Kassabek
%A S. N. Kharin
%A D. Suragan
%T Exact and approximate solutions to the Stefan problem in ellipsoidal coordinates
%J Eurasian mathematical journal
%D 2022
%P 51-66
%V 13
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2022_13_3_a4/
%G en
%F EMJ_2022_13_3_a4
S. A. Kassabek; S. N. Kharin; D. Suragan. Exact and approximate solutions to the Stefan problem in ellipsoidal coordinates. Eurasian mathematical journal, Tome 13 (2022) no. 3, pp. 51-66. http://geodesic.mathdoc.fr/item/EMJ_2022_13_3_a4/