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2002 Classical solutions of the Timoshenko system
R. Grimmer, E. Sinestrari
Adv. Differential Equations 7(7): 799-818 (2002). DOI: 10.57262/ade/1356651706

Abstract

We prove the existence and uniqueness of a $C^2$--solution of the Timoshenko system for the motion of an elastic beam. In addition, we give pointwise estimates for the displacement, rotation, shear angle and their derivatives with constants explicitly calculated. The method of proof is based on the Hille--Yosida operator theory.

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R. Grimmer. E. Sinestrari. "Classical solutions of the Timoshenko system." Adv. Differential Equations 7 (7) 799 - 818, 2002. https://doi.org/10.57262/ade/1356651706

Information

Published: 2002
First available in Project Euclid: 27 December 2012

zbMATH: 1030.74021
MathSciNet: MR1895166
Digital Object Identifier: 10.57262/ade/1356651706

Subjects:
Primary: 74H20
Secondary: 34G10 , 35Q72 , 47D06 , 74H25 , 74K10

Rights: Copyright © 2002 Khayyam Publishing, Inc.

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