Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids

Tom 81 / 2008

Irena Paw/low, Wojciech M. Zaj/aczkowski Banach Center Publications 81 (2008), 337-368 MSC: Primary 35K50; Secondary 35K60, 35Q72. DOI: 10.4064/bc81-0-22

Streszczenie

In this paper we study the Cahn-Hilliard-Gurtin system describing the phase-separation process in elastic solids. The system has been derived by Gurtin (1996) as an extension of the classical Cahn-Hilliard equation. For a version with viscosity we prove the existence and uniqueness of a weak solution on an infinite time interval and derive an absorbing set estimate.

Autorzy

  • Irena Paw/lowSystems Research Institute, Polish Academy of Sciences
    Newelska 6
    01-447 Warszawa, Poland
    and
    Institute of Mathematics and Cryptology
    Cybernetics Faculty
    Military University of Technology
    S. Kaliskiego 2
    00-908 Warszawa, Poland
    e-mail
  • Wojciech M. Zaj/aczkowskiInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-956 Warszawa, Poland
    and
    Institute of Mathematics and Cryptology, Cybernetics Faculty
    Military University of Technology
    S. Kaliskiego 2
    00-908 Warszawa, Poland
    e-mail

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