Raport Badawczy = Research Report ; RB/63/2005
Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
24 pages ; 21 cm ; Bibliography p. 23-24
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.
Raport Badawczy = Research Report
Creative Commons Attribution BY 4.0 license
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: ; -
Systems Research Institute of the Polish Academy of Sciences
Library of Systems Research Institute PAS
19 paź 2021
17 wrz 2020
72
https://rcin.org.pl./publication/175137
Nazwa wydania | Data |
---|---|
RB-2005-63 : Pawłow Irena : New Existence Result for 3-D Shape Memory Model | 19 paź 2021 |
Pawłow, Irena Zajączkowski, Wojciech
Pawłow, Irena Zajączkowski, Wojciech
Pawłow, Irena Zajączkowski, Wojciech
Pawłow, Irena Zajączkowski, Wojciech
Pawłow, Irena Zajączkowski, Wojciech
Pawłow, Irena Zajączkowski, Wojciech
Pawłow, Irena Zajączkowski, Wojciech