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Dynamic Analysis of a Nonlinear Timoshenko Equation
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-36, 36 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-23
Country of Publication
Egypt
No. of Pages
36
Main Subjects
Abstract EN
We characterize the global and nonglobal solutions of the Timoshenko equation in a bounded domain.
We consider nonlinear dissipation and a nonlinear source term.
We prove blowup of solutions as well as convergence to the zero and nonzero equilibria, and we give rates of decay to the zero equilibrium.
In particular, we prove instability of the ground state.
We show existence of global solutions without a uniform bound in time for the equation with nonlinear damping.
We define and use a potential well and positive invariant sets.
American Psychological Association (APA)
Esquivel-Avila, Jorge Alfredo. 2011. Dynamic Analysis of a Nonlinear Timoshenko Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-36.
https://search.emarefa.net/detail/BIM-493572
Modern Language Association (MLA)
Esquivel-Avila, Jorge Alfredo. Dynamic Analysis of a Nonlinear Timoshenko Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-36.
https://search.emarefa.net/detail/BIM-493572
American Medical Association (AMA)
Esquivel-Avila, Jorge Alfredo. Dynamic Analysis of a Nonlinear Timoshenko Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-36.
https://search.emarefa.net/detail/BIM-493572
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493572