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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 1, Pages 124–132
(Mi zvmmf9642)
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Conditions for the absence of a phase transition in the Ginzburg–Landau–Allen–Cahn model
E. I. Galakhov Russian University of Peoples’ Friendship, ul. Miklukho-Maklaya 6, Moscow, 117198 Russia
Abstract:
The problem of phase transitions in the Ginzburg–Landau–Allen–Cahn model is considered. Necessary conditions for such transitions are proved using the moving plane technique and the nonlinear capacity method.
Key words:
Ginzburg–Landau–Allen–Cahn model, conditions for the absence of phase transitions, moving plane method, nonlinear capacity method.
Received: 15.12.2010
Citation:
E. I. Galakhov, “Conditions for the absence of a phase transition in the Ginzburg–Landau–Allen–Cahn model”, Zh. Vychisl. Mat. Mat. Fiz., 52:1 (2012), 124–132; Comput. Math. Math. Phys., 52:1 (2012), 117–126
Linking options:
https://www.mathnet.ru/eng/zvmmf9642 https://www.mathnet.ru/eng/zvmmf/v52/i1/p124
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Abstract page: | 259 | Full-text PDF : | 91 | References: | 46 | First page: | 13 |
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