Global existence of weak solutions to the Fried-Gurtin model of phase transitions

• Autorzy: Zenon Kosowski
• Języki publikacji: EN

Abstrakty

EN

We prove the existence of global in time weak solutions to a three-dimensional system of equations arising in a simple version of the Fried-Gurtin model for the isothermal phase transition in solids. In this model the phase is characterized by an order parameter. The problem considered here has the form of a coupled system of three-dimensional elasticity and parabolic equations. The system is studied with the help of the Faedo-Galerkin method using energy estimates.

Kategorie tematyczne

• 74B20: Nonlinear elasticity
• 35K60: Nonlinear initial value problems for linear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2007
• Tom: 34
• Numer: 4
• Strony: 413-430

Daty

wydano

2007

Twórcy

autor

Zenon Kosowski

• Institute of Mathematics and Cryptology, Faculty of Cybernetics, Military University of Technology, S. Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/am34-4-5