Upper semicontinuous attractors for a 2D Mindlin–Timoshenko thermo-viscoelastic model with memory

Autor:	Tamara Fastovska
Rok vydání:	2009
Předmět:	Nonlinear system Work (thermodynamics) Applied Mathematics Attractor Mathematical analysis Relaxation (approximation) Thermal conduction Fractal dimension Analysis Viscoelasticity Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 71:4833-4851
ISSN:	0362-546X
DOI:	10.1016/j.na.2009.03.059
Popis:	A nonlinear problem for a thermo-viscoelastic Mindlin–Timoshenko plate with hereditary heat conduction is considered here. We prove the existence of a compact global attractor whose fractal dimension is finite. The main aim of the work is to show the upper semicontinuity of the attractor as the relaxation kernels fade in a suitable sense.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::841939c17e67e643ee3bce890e7a838b https://doi.org/10.1016/j.na.2009.03.059 Zobrazit plný text záznamu Full Text from ScienceDirect