Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law | Zendy

Pavlo O. Kasyanov | Zendy; Luisa Toscano | Zendy; Nina V. Zadoianchuk | Zendy

Open Access

Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law

Author(s) -

Pavlo O. Kasyanov,

Luisa Toscano,

Nina V. Zadoianchuk

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/450984

Subject(s) - mathematics , pointwise , attractor , displacement (psychology) , inequality , trajectory , mathematical analysis , physics , psychology , astronomy , psychotherapist

We consider autonomous evolution inclusions and hemivariational inequalities with nonsmooth dependence between determinative parameters of a problem. The dynamics of all weak solutions defined on the positive semiaxis of time is studied. We prove the existence of trajectory and global attractors and investigate their structure. New properties of complete trajectories are justified. We study classes of mathematical models for geophysical processes and fields containing the multidimensional “reaction-displacement” law as one of possible application. The pointwise behavior of such problem solutions on attractor is described

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