Metadata language
New Existence Result for 3-D Shape Memory Model
Subtitle:Raport Badawczy = Research Report ; RB/63/2005
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:24 stron ; 21 cm ; Bibliografia s. 23-24
Subject and Keywords:Nonlinear thermoelasticity ; Nieliniowa termoelastyczność ; Viscosity ; Capillarity ; Shape memory ; Efekt pamięci kształtu ; Global existence ; Globalne istnienie ; Lepkość ; Kapilarność
Abstract: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.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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