Open AccessExistence and boundary stabilization of the semilinear Mindlin-Timoshenko system
Author(s) -
F. D. Araruna,
Jonatas Emmanuel Borges
Publication year - 2008
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2008.1.34
Subject(s) - mathematics , boundary (topology) , mathematical analysis , boundary value problem , pure mathematics
We consider dynamics of the one-dimensional Mindlin-Timoshenko model for beams with a nonlinear external forces and a boundary damping mechanism. We investigate existence and uniqueness of strong and weak solution. We also study the boundary stabilization of the solution, i.e., we prove that the energy of every solution decays exponentially as t ! 1.
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