Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law
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...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/450984 |
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| author | Pavlo O. Kasyanov Luisa Toscano Nina V. Zadoianchuk |
| author_facet | Pavlo O. Kasyanov Luisa Toscano Nina V. Zadoianchuk |
| author_sort | Pavlo O. Kasyanov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-524c41b16bd146058601b52afd4a7d6a |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-524c41b16bd146058601b52afd4a7d6a2025-08-20T02:05:42ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/450984450984Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” LawPavlo O. Kasyanov0Luisa Toscano1Nina V. Zadoianchuk2Institute for Applied System Analysis NAS of Ukraine, Peremogy Avenue 37, Building 35, Kyiv 03056, UkraineDepartment of Mathematics and Applications “R. Caccioppoli”, University of Naples “Federico II”, Via Claudio 21, 80125 Naples, ItalyInstitute for Applied System Analysis NAS of Ukraine, Peremogy Avenue 37, Building 35, Kyiv 03056, UkraineWe 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.http://dx.doi.org/10.1155/2012/450984 |
| spellingShingle | Pavlo O. Kasyanov Luisa Toscano Nina V. Zadoianchuk Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law Abstract and Applied Analysis |
| title | Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law |
| title_full | Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law |
| title_fullStr | Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law |
| title_full_unstemmed | Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law |
| title_short | Long-Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction-Displacement” Law |
| title_sort | long time behaviour of solutions for autonomous evolution hemivariational inequality with multidimensional reaction displacement law |
| url | http://dx.doi.org/10.1155/2012/450984 |
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