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.
Long-time behaviour of solutions for autonomous evolution hemivariational inequality with multidimensional “reaction-displacement” law / P. O., Kasianov; Toscano, Luisa; N., Zadoianchuk. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - 2012:(2012). [10.1155/2012/450984]
Long-time behaviour of solutions for autonomous evolution hemivariational inequality with multidimensional “reaction-displacement” law
TOSCANO, LUISA;
2012
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.