Long-time behavior of solutions for quasilinear hyperbolic hemivariational inequalities with application to piezoelectricity problem

Autor:	Nina V. Zadoianchuk, Pavlo O. Kasyanov, Michael Z. Zgurovsky
Rok vydání:	2012
Předmět:	Mathematical model Applied Mathematics Weak solution Mathematical analysis Attractor Trajectory Structure (category theory) Type (model theory) Piezoelectricity Stationary state Mathematics
Zdroj:	Applied Mathematics Letters. 25:1569-1574
ISSN:	0893-9659
Popis:	We consider quasilinear autonomous inclusions of hyperbolic type. The dynamics of all weak solutions defined on the positive semi-axis of time is studied. We prove the existence of trajectory and global attractors and investigate their structure. The classes of mathematical models for piezoelectric fields containing the multidimensional law are studied. The conditions of the output of each weak solution for this problem at stationary states are given. We consider as a particular case the piezoelectric model for PZT-4 piezoceramics as one of the possible applications.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6108781e3b5349ae57cacd1bc09b6d9b https://doi.org/10.1016/j.aml.2012.01.016 Zobrazit plný text záznamu Full Text from ScienceDirect