Global attractors for the coupled suspension bridge system with temperature

0456572 - MÚ 2017 RIV GB eng J - Článek v odborném periodiku
Dell'Oro, Filippo - Giorgi, C.
Global attractors for the coupled suspension bridge system with temperature.
Mathematical Methods in the Applied Sciences. Roč. 39, č. 4 (2016), s. 864-875. ISSN 0170-4214. E-ISSN 1099-1476
Institucionální podpora: RVO:67985840
Klíčová slova: absorbing set * coupled bridge system * global attractor
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.017, rok: 2016
http://onlinelibrary.wiley.com/doi/10.1002/mma.3526/abstract

This paper deals with the long-term properties of the thermoelastic nonlinear string-beam system related to the well-known Lazer-McKenna suspension bridge model 0.1utt+uxxxx-(...)uxx+(u-v)++0xx=fvtt-vxx-(u-v)++...{symbol}x=g0t-0xx-utxx=h...{symbol}t-...{symbol}xx+vtx=0. In particular, no mechanical dissipation occurs in the equations, because the loss of energy is entirely due to thermal effects. The existence of regular global attractors for the associated solution semigroup is proved (without resorting to a bootstrap argument) for time-independent supplies f,g,h and any ....
Trvalý link: http://hdl.handle.net/11104/0257099