Geodesic
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), 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_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},
     publisher = {mathdoc},
     volume = {12},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_a3/}
}
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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), pp. 173-186. http://geodesic.mathdoc.fr/item/JMAG_2005_12_a3/