Аннотация:
Получены достаточные условия, близкие к необходимым, существования (единственного для σ>0, β>0) решения модифицированной задачи Стефана на малом временном интервале.
Образец цитирования:
Е. В. Радкевич, “Об условиях существования классического решения модифицированной задачи Стефана (закон Гиббса–Томсона)”, Матем. сб., 183:2 (1992), 77–101; E. V. Radkevich, “On conditions for the existence of a classical solution of the modified Stefan problem (the Gibbs–Thomson law)”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 221–246
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\paper Об~условиях существования классического решения модифицированной задачи Стефана (закон Гиббса--Томсона)
\jour Матем. сб.
\yr 1992
\vol 183
\issue 2
\pages 77--101
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\by E.~V.~Radkevich
\paper On conditions for the existence of a~classical solution of the modified Stefan problem (the Gibbs--Thomson law)
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 75
\issue 1
\pages 221--246
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sm1468
https://www.mathnet.ru/rus/sm/v183/i2/p77
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Pruess J. Simonett G. Zacher R., “Qualitative Behavior of Solutions for Thermodynamically Consistent Stefan Problems with Surface Tension”, Arch. Ration. Mech. Anal., 207:2 (2013), 611–667
Ch. Eck, B. Jadamba, P. Knabner, “Error Estimates for a Finite Element Discretization of a Phase Field Model for Mixtures”, SIAM J Numer Anal, 47:6 (2010), 4429
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Solonnikov V., “Lectures on Evolution Free Boundary Problems: Classical Solutions”, Mathematical Aspects of Evolving Interfaces, Lecture Notes in Mathematics, 1812, ed. Ambrosio L. Mimura M. Deckelnick K. Solonnikov V. Dziuk G. Soner H. Colli P. Rodrigues J., Springer-Verlag Berlin, 2003, 123–175
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