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Stabilization and asymptotic behavior of non local damped wave equations
Author(s) -
Nicaise Serge
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201800277
Subject(s) - nanorod , stability (learning theory) , exponential stability , mathematics , statistical physics , classical mechanics , mathematical analysis , physics , computer science , materials science , nonlinear system , nanotechnology , quantum mechanics , machine learning
Motivated by different models of damped nanorods and nanoplates, we introduce an abstract framework of non local damped second order evolution equations. We analyze the stability and the asymptotic behavior of such evolution equations. We then illustrate our general results by some stability results for some models of damped nanorods and nanoplates.