Geodesic
Global existence of weak solutions to the Fried–Gurtin model of phase transitions
Zenon Kosowski1
1 Institute of Mathematics and Cryptology Faculty of Cybernetics Military University of Technology S. Kaliskiego 2 00-908 Warszawa, Poland
Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 413-430 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am34-4-5
Keywords: prove existence global time weak solutions three dimensional system equations arising simple version fried gurtin model isothermal phase transition solids model phase characterized order parameter problem considered here has form coupled system three dimensional elasticity parabolic equations system studied help faedo galerkin method using energy estimates

Zenon Kosowski 1

1 Institute of Mathematics and Cryptology Faculty of Cybernetics Military University of Technology S. Kaliskiego 2 00-908 Warszawa, Poland 
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Zenon Kosowski. Global existence of weak solutions to the
 Fried–Gurtin model of phase transitions. Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 413-430. doi: 10.4064/am34-4-5

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