Tytuł:

New Existence Result for 3-D Shape Memory Model

Inny tytuł:

Raport Badawczy = Research Report ; RB/63/2005

Twórca:

Pawłow, Irena

Wydawca:

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

Miejsce wydania:

Warszawa

Data wydania/powstania:

2005

Opis:

24 pages ; 21 cm ; Bibliography p. 23-24

Temat i słowa kluczowe:

Nonlinear thermoelasticity ; Nieliniowa termoelastyczność ; Viscosity ; Capillarity ; Shape memory ; Efekt pamięci kształtu ; Global existence ; Globalne istnienie ; Lepkość ; Kapilarność

Abstrakt:

The paper presents a new existence result for three-dimensional (3-D) shape memory model which has the form of a nonlinear thermoelastic­ity system with viscosity ν > 0 and capillarity ϰ > 0. In contrast to the previous authors results, proved under assumption 0 < 2 ϰ1/2 < ν, here we admit ϰ > 0 and ν > 0 possibly arbitrarily small. With such as­sumption the obtained existence result becomes more adequate for shape memory problems where viscosity effects are negligible small. Moreover, a broader class of boundary conditions is considered. The solvability analysis of the initial-boundary-value problems for viscoelasticity system with capillarity is also presented.

Czasopismo/Seria/cykl:

Raport Badawczy = Research Report

Typ zasobu:

Text

Szczegółowy typ zasobu:

Report

Źródło:

RB-2005-63

Język:

eng

Język streszczenia:

eng

Prawa:

Creative Commons Attribution BY 4.0 license

Zasady wykorzystania:

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: ; -

Digitalizacja:

Systems Research Institute of the Polish Academy of Sciences

Lokalizacja oryginału:

Library of Systems Research Institute PAS

Dofinansowane ze środków:

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.

Dostęp:

Open