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Unique global solvability of the Fried-Gurtin model for phase transitions in solids

Object's details: Unique global solvability of the Fried-Gurtin model for phase transitions in solids

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Provider:Akademicka Platforma Czasopism

Description

Title:
Unique global solvability of the Fried-Gurtin model for phase transitions in solids
Creator:
Kosowski, Zenon;
Pawłow, Irena
Description:
The paper is concerned with the existence and uniqueness of solutions to the Allen-Cahn equation coupled with elasticity. The system represents a particular, simple version of the Fried-Gurtin model for solid-solid transitions with phase characterized by an order parameter. The system is studied with the help of the Leray-Schauder fixed point theorem. The main tool applied in the existence proof is the solvability theory of parabolic problems in anisotropic Sobolev spaces with mixed time-space norms.
Object availability:
free access
Rights:
Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
Date:
2004.12.01
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 24, No 2 (December 2004); 209 - 237;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.026/9242
Subject:
Allen-Cahn equation;
elasticity;
phase transitions;
existence and uniqueness;
35K50;
35K60;
35Q72
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.026
Data provider:
Akademicka Platforma Czasopism

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