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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 324–334
(Mi semr416)
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This article is cited in 3 scientific papers (total in 3 papers)
Differentical equations, dynamical systems and optimal control
Special case of the Cahn-Hilliard Equation
O. A. Frolovskayaab, O. V. Admaevc, V. V. Pukhnachevab a Lavrentyev Institute of Hydrodynamics SB RAS,
pr. Lavrentieva, 15
b Novosibirsk State University, Pirogova str., 2,
630090, Novosibirsk, Russia
c Krasnoyarsk Institute of Railway Engineering,
Branch of Irkutsk State Transport University,
Lado Ketskhoveli str., 89,
660028, Krasnoyarsk, Russia
Abstract:
A qualitative behaviour of the Cauchy problem solution for the Cahn–Hilliard kind equation is analyzed. The sufficient condition of the global solution existence and its collapse for a finite time for the periodic function has been formulated. The examples of the stationary, self-similar and collapsing solutions are constructed.
Keywords:
Cahn–Hilliard Equation, Cauchy problem, Lyapunov functional, similarity solutions.
Received February 15, 2013, published April 10, 2013
Citation:
O. A. Frolovskaya, O. V. Admaev, V. V. Pukhnachev, “Special case of the Cahn-Hilliard Equation”, Sib. Èlektron. Mat. Izv., 10 (2013), 324–334
Linking options:
https://www.mathnet.ru/eng/semr416 https://www.mathnet.ru/eng/semr/v10/p324
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Abstract page: | 312 | Full-text PDF : | 106 | References: | 42 |
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