Geodesic
Special case of the Cahn-Hilliard Equation
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 324-334.

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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: Cauchy problem, Lyapunov functional, similarity solutions.
Mots-clés : Cahn–Hilliard Equation 
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O. A. Frolovskaya; O. V. Admaev; V. V. Pukhnachev. Special case of the Cahn-Hilliard Equation. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 324-334. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a48/

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