Found 14 Documents (Results 1–14)

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Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. (English)Zbl 0968.74003

Berlin: Springer. viii, 474 p. (1999).
MSC:  74-06 74Nxx 00B30

Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem. (English. Russian original)Zbl 0870.35127

Sb. Math. 186, No. 12, 1753-1771 (1995); translation from Mat. Sb. 186, No. 12, 63-80 (1995).
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Stability and ”stabilization” of the solution of phase field system. (English)Zbl 0864.35062

Kenmochi, N. (ed.) et al., Proceedings of the Banach Center minisemester on nonlinear analysis and applications, Warsaw, Poland, November 14 – December 15, 1994. Tokyo: Gakkōtosho Co., Ltd. GAKUTO Int. Ser., Math. Sci. Appl. 7, 319-342 (1995).
MSC:  35K85 35K60 35K40

Asymptotics of the solution to the phase field system and the modified Stefan problem. (English. Russian original)Zbl 0855.35134

Differ. Equations 31, No. 3, 446-454 (1995); translation from Differ. Uravn. 31, No. 3, 483-491 (1995).
MSC:  35R35 80A22

A modified Stefan problem as a limit of the asymptotics of a phase field system. (English. Russian original)Zbl 0879.35164

Dokl. Math. 52, No. 1, 74-77 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 5, 586-589 (1995).
MSC:  35R35 80A22

The Gibbs-Thomson effect and existence conditions for classical solutions for the modified Stefan problem. (English)Zbl 0788.35155

Chadam, John M. (ed.) et al., Free boundary problems involving solids. Proceedings of the international colloquium ”Free boundary problems: theory and applications”, held in Montreal, Canada, June 13 - June 22, 1990. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 281, 135-142 (1993).
MSC:  35R35 35K20 80A22

The issues of anisotropy and travelling wave velocity selection in the phase field model. (English)Zbl 0859.35142

Chadam, John M. (ed.) et al., Free boundary problems involving solids. Proceedings of the international colloquium ”Free boundary problems: theory and applications”, held in Montreal, Canada, June 13 - June 22, 1990. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 281, 92-95 (1993).
MSC:  35R35 80A22

The classical Stefan problem as the limit case of the Stefan problem with a kinetic condition at the free boundary. (English)Zbl 0817.35133

Antontsev, S. N. (ed.) et al., Free boundary problems in continuum mechanics. International conference on free boundary problems in continuum mechanics, Novosibirsk, Russia, July 15-19, 1991. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 106, 83-90 (1992).
MSC:  35R35 80A22

Existence and uniqueness of a solution to the Bellman equation in the problem of optimally correcting a Markov process. (Russian. English summary)Zbl 0737.49023

MSC:  49L99 49J20 60G40

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