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Korzec, Maciek D. [Author]; Nayar, Piotr [Author]; Rybka, Piotr [Author]

Global weak solutions to a sixth order Cahn--Hilliard type equation

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  • Media type: Report; E-Book; Text
  • Title: Global weak solutions to a sixth order Cahn--Hilliard type equation
  • Contributor: Korzec, Maciek D. [Author]; Nayar, Piotr [Author]; Rybka, Piotr [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2010
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.1581
  • Keywords: 35Q60 ; article ; 35G20 ; Global weak solutions -- Cahn-Hilliard equation -- self-assembly ; 35K55
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: 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.