Raport Badawczy = Research Report ; RB/9/2002
Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
24 pages ; 21 cm ; Bibliography p. 23-24
The control problem for a three-dimensional nonlinear thermoelasticity system is considered. The system may represent, among others, the dynamical model of shape memory materials. Distributed heat sources and body forces are considered as controls. The goal functional refers to the desired evolution of displacement, strain and temperature. The continuity and differentiability of solutions with respect to controls is studied. The existence of optimal controls is proved and the necessary optimality conditions are formulated. The existence of adjoint state variables is proved under additional regularity of data.
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
Oct 19, 2021
Sep 17, 2020
114
https://rcin.org.pl/ibsys/publication/174866
Edition name | Date |
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RB-2002-09 : Pawłow Irena, Żochowski Antoni Kazimierz : Control Problem for a Nonlinear Thermoelasticity System | Oct 19, 2021 |
Malanowski, Kazimierz
Pawłow, Irena Zajączkowski, Wojciech
Bednarczuk, Ewa M.
Krajewski, Wiesław Viaro, Umberto
Krajewski, Wiesław Viaro, Umberto
Malanowski, Kazimierz
Bednarczuk, Ewa M.