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Author: Rybka, Piotr × Subject: Global weak solutions ×

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    Global weak solutions to a sixth order Cahn-Hilliard type equation
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Korzec, Maciek Dominik; Nayar, Piotr; Rybka, Piotr
    In this paper we study a sixth order Cahn-Hilliard type equation that arises as a model for the faceting of a growing surface. We show global in time existence of weak solutions and uniform in time a priori estimates in the H^3 norm. These bounds enable us to show the uniqueness of weak solutions.