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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     author = {O. A. Frolovskaya and O. V. Admaev and V. V. Pukhnachev},
     title = {Special case of the {Cahn-Hilliard} {Equation}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {324--334},
     publisher = {mathdoc},
     volume = {10},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a48/}
}
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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/