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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 324–334 (Mi semr416)  
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
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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
Document Type: Article
UDC: 517.9
MSC: 35B07, 35B10, 35B44
Language: English
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
Citation in format AMSBIB
\Bibitem{FroAdmPuk13}
\by O.~A.~Frolovskaya, O.~V.~Admaev, V.~V.~Pukhnachev
\paper Special case of the Cahn-Hilliard Equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 324--334
\mathnet{http://mi.mathnet.ru/semr416}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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