Standard

The order of convergence in the stefan problem with vanishing specific heat. / Frolova, E. V.

In: Journal of Mathematical Sciences , Vol. 178, No. 3, 01.10.2011, p. 357-366.

Research output: Contribution to journal › Article › peer-review

Harvard

Frolova, EV 2011, 'The order of convergence in the stefan problem with vanishing specific heat', Journal of Mathematical Sciences , vol. 178, no. 3, pp. 357-366. https://doi.org/10.1007/s10958-011-0553-x

APA

Frolova, E. V. (2011). The order of convergence in the stefan problem with vanishing specific heat. Journal of Mathematical Sciences , 178(3), 357-366. https://doi.org/10.1007/s10958-011-0553-x

Vancouver

Frolova EV. The order of convergence in the stefan problem with vanishing specific heat. Journal of Mathematical Sciences . 2011 Oct 1;178(3):357-366. https://doi.org/10.1007/s10958-011-0553-x

Author

Frolova, E. V. / The order of convergence in the stefan problem with vanishing specific heat. In: Journal of Mathematical Sciences . 2011 ; Vol. 178, No. 3. pp. 357-366.

BibTeX

@article{4e6212136d1f4ac5ad1d3d494bd2d7e4,
title = "The order of convergence in the stefan problem with vanishing specific heat",
abstract = "The paper is concerned with the two-phase Stefan problem with a small parameter ε, which coresponds to the specific heat of the material. It is assumed that the initial condition does not coincide with the solution for t = 0 of the limit problem related to ε = 0. To remove this discrepancy, an auxiliary boundary layer type function is introduced. It is proved that the solution to the two-phase Stefan problem with parameter ε differs from the sum of the solution to the limit Hele-Shaw problem and a boundary layer type function by quantities of order O(ε). The estimates are obtained in H{\"o}lder norms. Bibliography: 13 titles. {\textcopyright} 2011 Springer Science+Business Media, Inc.",
author = "Frolova, {E. V.}",
year = "2011",
month = oct,
day = "1",
doi = "10.1007/s10958-011-0553-x",
language = "English",
volume = "178",
pages = "357--366",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - The order of convergence in the stefan problem with vanishing specific heat

AU - Frolova, E. V.

PY - 2011/10/1

Y1 - 2011/10/1

N2 - The paper is concerned with the two-phase Stefan problem with a small parameter ε, which coresponds to the specific heat of the material. It is assumed that the initial condition does not coincide with the solution for t = 0 of the limit problem related to ε = 0. To remove this discrepancy, an auxiliary boundary layer type function is introduced. It is proved that the solution to the two-phase Stefan problem with parameter ε differs from the sum of the solution to the limit Hele-Shaw problem and a boundary layer type function by quantities of order O(ε). The estimates are obtained in Hölder norms. Bibliography: 13 titles. © 2011 Springer Science+Business Media, Inc.

AB - The paper is concerned with the two-phase Stefan problem with a small parameter ε, which coresponds to the specific heat of the material. It is assumed that the initial condition does not coincide with the solution for t = 0 of the limit problem related to ε = 0. To remove this discrepancy, an auxiliary boundary layer type function is introduced. It is proved that the solution to the two-phase Stefan problem with parameter ε differs from the sum of the solution to the limit Hele-Shaw problem and a boundary layer type function by quantities of order O(ε). The estimates are obtained in Hölder norms. Bibliography: 13 titles. © 2011 Springer Science+Business Media, Inc.

UR - http://www.scopus.com/inward/record.url?scp=80053481696&partnerID=8YFLogxK

U2 - 10.1007/s10958-011-0553-x

DO - 10.1007/s10958-011-0553-x

M3 - Article

AN - SCOPUS:80053481696

VL - 178

SP - 357

EP - 366

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 103856014