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

Zenon Kosowski. "Global existence of weak solutions to the Fried-Gurtin model of phase transitions." Applicationes Mathematicae 34.4 (2007): 413-430. <http://eudml.org/doc/279925>.

@article{ZenonKosowski2007,
abstract = {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.},
author = {Zenon Kosowski},
journal = {Applicationes Mathematicae},
keywords = {Fried-Gurtin model; solid-solid transition; phase-field theory; existence and uniqueness of weak solution; Faedo-Galerkin method; hyperbolic-parabolic system; three-dimensional system; order parameter; energy estimates},
language = {eng},
number = {4},
pages = {413-430},
title = {Global existence of weak solutions to the Fried-Gurtin model of phase transitions},
url = {http://eudml.org/doc/279925},
volume = {34},
year = {2007},
}

TY - JOUR
AU - Zenon Kosowski
TI - Global existence of weak solutions to the Fried-Gurtin model of phase transitions
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 4
SP - 413
EP - 430
AB - 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.
LA - eng
KW - Fried-Gurtin model; solid-solid transition; phase-field theory; existence and uniqueness of weak solution; Faedo-Galerkin method; hyperbolic-parabolic system; three-dimensional system; order parameter; energy estimates
UR - http://eudml.org/doc/279925
ER -