[HTML][HTML] Long-time behavior of solutions for quasilinear hyperbolic hemivariational inequalities with application to piezoelectricity problem
MZ Zgurovsky, PO Kasyanov… - Applied Mathematics …, 2012 - Elsevier
Applied Mathematics Letters, 2012•Elsevier
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 …
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 …
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.
Elsevier