WIAS Preprint No. 1930, (2014)

On the Cahn--Hilliard equation with dynamic boundary conditions and a dominating boundary potential


Authors

  • Colli, Pierluigi
    ORCID: 0000-0002-7921-5041
  • Gilardi, Gianni
    ORCID: 0000-0002-0651-4307
  • Sprekels, Jürgen
    ORCID: 0009-0000-0618-8604

2010 Mathematics Subject Classification

  • 35K55 35K50 82C26

Keywords

  • Cahn--Hilliard equation, dynamic boundary conditions, phase separation, irregular potentials, well-posedness

DOI

10.20347/WIAS.PREPRINT.1930

Abstract

The Cahn--Hilliard and viscous Cahn--Hilliard equations with singular and possibly nonsmooth potentials and dynamic boundary condition are considered and some well-posedness and regularity results are proved.

Appeared in

  • J. Math. Anal. Appl., 419 (2014) pp. 972--994.

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