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Energy Decay for the Strongly Damped Nonlinear Beam Equation andItsApplications inMoving Boundary

Energy Decay for the Strongly Damped Nonlinear Beam Equation andItsApplications inMoving Boundary We study the existence and energy decay of solutions for the strongly damped nonlinear beam equation. We apply a method based on Nakao method to show that the solution decays exponentially, and to obtain precise estimates of the constants in the estimates. Finally, we discuss its applications in moving boundary. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Energy Decay for the Strongly Damped Nonlinear Beam Equation andItsApplications inMoving Boundary

Acta Applicandae Mathematicae , Volume 109 (2) – Oct 9, 2008

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References (21)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-008-9330-3
Publisher site
See Article on Publisher Site

Abstract

We study the existence and energy decay of solutions for the strongly damped nonlinear beam equation. We apply a method based on Nakao method to show that the solution decays exponentially, and to obtain precise estimates of the constants in the estimates. Finally, we discuss its applications in moving boundary.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 9, 2008

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