Title:

Global Existence to a Three-Dimensional Nonlinear Thermoelasticity System Arising in Shape Memory Materials

Subtitle:

Raport Badawczy = Research Report ; RB/1/2003

Creator:

Pawłow, Irena ; Zajączkowski, Wojciech

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2003

Description:

39 pages ; 21 cm ; Bibliography p. 39

Subject and Keywords:

Nonconvex energy ; Nieliniowa termoelastyczność ; Global existence ; Globalne istnienie ; Non- linear thermoelasticity ; Non-convex energy ; Energy estimates

Abstract:

The paper is concerned with the unique global solvability of a three-dimensional (3-D) nonlinear thermoelasticity system arising from the study of shape memory materials. The system consists of the coupled evolutionary problems of viscoelasticity with nonconvex elastic energy and nonlinear heat conduction with mechanical dissipation.The present paper extends the previous 2-D existence result to 3-D case. This goal is achieved by means of the Leray-Schauder fixed point theorem using technique based on energy arguments and DeGiorgi method.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2003-01

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open