Title:

Quasilinear Thermoelasticity System Arising in Shape Memory Materials

Subtitle:

Raport Badawczy = Research Report ; RB/9/2006

Creator:

Pawłow, Irena ; Yoshikawa, Shuji ; Zajączkowski, Wojciech

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2006

Description:

35 pages ; 21 cm ; Bibliography p. 32-35

Abstract:

The article established the global existence and uniqueness of solution for the three-dimensional and two-dimensional quasilinear thermoelasticity system which arises as a mathematical model of shape memory alloys. The system represents a multi-dimensional version with viscosity and capil­larity of the well-known Falk model for one-dimensional martensitic phase transitions. In the set-up considered by Pawlow and Zajączkowski (2005) some conditions have been required for the nonlinear term. In this article, this result has been improved by making less restrictive assumptions.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2006-09

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