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Global attractors for the coupled suspension bridge system with temperature

  1. 1.
    0456572 - MÚ 2017 RIV GB eng J - Journal Article
    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
    Institutional support: RVO:67985840
    Keywords : absorbing set * coupled bridge system * global attractor
    Subject RIV: BA - General Mathematics
    Impact factor: 1.017, year: 2016

    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 ....
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