On a retarded PDE system for a von Karman plate with thermal effects in the flow of gas
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 173-186
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We prove existence of a compact global attractor of finite fractal dimension and existence of a finite set of asymptotically determining functionals for a retarded PDE system for a von Kármán plate with thermal effects in the flow of gas. Moreover, we show that asymptotical dynamics of the entire system is determined by the dynamics of the single component $u$, which describes displacement of the plate.
@article{JMAG_2005_12_2_a3,
author = {I. Ryzhkova},
title = {On a retarded {PDE} system for a von {Karman} plate with thermal effects in the flow of gas},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {173--186},
year = {2005},
volume = {12},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a3/}
}
TY - JOUR AU - I. Ryzhkova TI - On a retarded PDE system for a von Karman plate with thermal effects in the flow of gas JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2005 SP - 173 EP - 186 VL - 12 IS - 2 UR - http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a3/ LA - en ID - JMAG_2005_12_2_a3 ER -
I. Ryzhkova. On a retarded PDE system for a von Karman plate with thermal effects in the flow of gas. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 173-186. http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a3/