Two-phase Stefan problem with vanishing specific heat

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Two-phase Stefan problem with vanishing specific heat. / Frolova, E. V.

In: Journal of Mathematical Sciences , Vol. 159, No. 4, 06.2009, p. 580-595.

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

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Frolova, E. V. / Two-phase Stefan problem with vanishing specific heat. In: Journal of Mathematical Sciences . 2009 ; Vol. 159, No. 4. pp. 580-595.

BibTeX

@article{a00c19dca745416abba5848b478b8987,

title = "Two-phase Stefan problem with vanishing specific heat",

abstract = "The unique solvability of the two-phase Stefan problem with a small parameter ε∈ ∈[0; ε 0] at the time derivative in the heat equations is proved. The solution is obtained on a certain time interval [0; t 0] independent of ε. The solution of the Stefan problem is compared with the solution to the Hele-Shaw problem corresponding to the case ε∈=∈0. The solutions of both problems are not assumed to coincide at the initial moment of time. Bibliography: 18 titles.",

author = "Frolova, {E. V.}",

year = "2009",

month = jun,

doi = "10.1007/s10958-009-9463-6",

language = "English",

volume = "159",

pages = "580--595",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Two-phase Stefan problem with vanishing specific heat

AU - Frolova, E. V.

PY - 2009/6

Y1 - 2009/6

N2 - The unique solvability of the two-phase Stefan problem with a small parameter ε∈ ∈[0; ε 0] at the time derivative in the heat equations is proved. The solution is obtained on a certain time interval [0; t 0] independent of ε. The solution of the Stefan problem is compared with the solution to the Hele-Shaw problem corresponding to the case ε∈=∈0. The solutions of both problems are not assumed to coincide at the initial moment of time. Bibliography: 18 titles.

AB - The unique solvability of the two-phase Stefan problem with a small parameter ε∈ ∈[0; ε 0] at the time derivative in the heat equations is proved. The solution is obtained on a certain time interval [0; t 0] independent of ε. The solution of the Stefan problem is compared with the solution to the Hele-Shaw problem corresponding to the case ε∈=∈0. The solutions of both problems are not assumed to coincide at the initial moment of time. Bibliography: 18 titles.

UR - http://www.scopus.com/inward/record.url?scp=67349228867&partnerID=8YFLogxK

U2 - 10.1007/s10958-009-9463-6

DO - 10.1007/s10958-009-9463-6

M3 - Article

AN - SCOPUS:67349228867

VL - 159

SP - 580

EP - 595

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 97106837