Subtitle:

Raport Badawczy = Research Report ; RB/12/2002

Publisher:

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

Place of publishing:

Warszawa

Description:

45 pages ; 21 cm ; Bibliography p. 45

Abstract:

The paper is concerned with initial-boundary value problem in two-dimensional nonlinear thermoelasticity which arises as a mathematical model of shape memory materials. The problem has the form of viscoelasticity system with capillarity coupled with heat conducstion equation with mechanical dissipation. The corresponding elastic energy is a nonconvex multiple-weel function of strain, with the shape changing qualitatively with temperature. Under assumption on the growth of this energy with respect to temperature, the existence and uniqueness of a global-in-time solutions for large data has been proven. The existence proof is based on parabolic decomposition of the elastiity system and application of the Leray-Schauder fixed point theorem. The main part of the proof consists in deriving Holder a priori estimates by succesive improvement of energy estimates.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Report

Resource Identifier:

oai:rcin.org.pl:139447

Source:

RB-2002-12

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