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A Generalized Cahn-Hilliard Equation with Logarithmic Potentials

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Continuous and Distributed Systems II

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 30))

Abstract

Our aim in this paper is to study the well-posedness for a generalized Cahn-Hilliard equation with a proliferation term and singular potentials. We also prove the existence of the global attractor.

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Authors and Affiliations

  1. Laboratoire de Mathématiques et Applications, UMR CNRS 7348, SP2MI, Université de Poitiers, 86962, Chasseneuil Futuroscope Cedex, France

    Alain Miranville

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  1. Alain Miranville
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Correspondence to Alain Miranville .

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Editors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    Viktor A. Sadovnichiy

  2. Kiev Polytechnic Institute, National Technical University Ukraine, Kiev, Ukraine

    Mikhail Z. Zgurovsky

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Miranville, A. (2015). A Generalized Cahn-Hilliard Equation with Logarithmic Potentials. In: Sadovnichiy, V., Zgurovsky, M. (eds) Continuous and Distributed Systems II. Studies in Systems, Decision and Control, vol 30. Springer, Cham. https://doi.org/10.1007/978-3-319-19075-4_8

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  • DOI: https://doi.org/10.1007/978-3-319-19075-4_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19074-7

  • Online ISBN: 978-3-319-19075-4

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