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Global attractors for the coupled suspension bridge system with temperature
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SYSNO ASEP 0456572 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Global attractors for the coupled suspension bridge system with temperature Author(s) Dell'Oro, Filippo (MU-W) RID, SAI, ORCID
Giorgi, C. (IT)Source Title Mathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214
Roč. 39, č. 4 (2016), s. 864-875Number of pages 12 s. Language eng - English Country GB - United Kingdom Keywords absorbing set ; coupled bridge system ; global attractor Subject RIV BA - General Mathematics Institutional support MU-W - RVO:67985840 UT WOS 000370234600019 EID SCOPUS 84959241484 DOI 10.1002/mma.3526 Annotation 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 .... Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2017
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