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

• Autorzy: Irena Pawłow , Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K60: Nonlinear initial value problems for linear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 337-368

Daty

wydano

2008

Twórcy

autor

Irena Pawłow

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, S. Kaliskiego 2, 00-908 Warszawa, Poland

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, S. Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc81-0-22