On periodicity of solutions for thermocontrol problems with hysteresis-type switches

Mathematical models of thermocontrol processes occurring in chemical reactors and climate control systems are considered. In the models under consideration, the temperature inside a domain is controlled by a thermostat acting on the boundary. The feedback is based on temperature measurements performed by thermal sensors inside the domain. The solvability of the corresponding nonlinear nonlocal problems and the periodicity of solutions are studied. © 2009 Society for Industrial and Applied Mathematics.

Authors
Gurevich P. 1 , Jáger W.2 , Skubachevskii A. 3
Journal
SIAM Journal on Mathematical Analysis
Number of issue
2
Language
English
Pages
733-752
Status
Published
Link
External link
DOI
10.1137/080718905
Volume
41
Year
2009
Organizations
  • 1 Free University of Berlin, Arnimalle 3, Berlin 14195, Germany
  • 2 IWR, University of Heidelberg, Heidelberg 69120, Germany
  • 3 People's Friendship University of Russia, Moscow 117198, Russian Federation
Keywords
Hysteresis; Periodic solutions; Thermocontrol problems
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2887/
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