Korn inequality for a thin rod with rounded ends-Reference-Cited by-同舟云学术

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Korn inequality for a thin rod with rounded ends

Published:2014-03-03 Issue:16 Volume:37 Page:2463-2483
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Nazarov Sergey A.¹²,Slutskij Andrey S.²³,Taskinen Jari⁴

Affiliation:

1. Mathematics and Mechanics Faculty; St.Petersburg State University; Petershoff, Universtetskii pr., 28, 198504 Saint Petersburg Russia

2. Institute of Mechanical Engineering Problems; Academy of Science St. Petersburg; V.O., Bolshoi pr., 61, 199178 Saint Petersburg Russia

3. Physical Faculty; St. Petersburg State University; Ul'yanovskaya., 3, Petrodvorets, 198504 Saint Petersburg Russia

4. Department of Mathematics and Statistics; University of Helsinki; P.O. Box 68, FI-00014 Helsinki Finland

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/mma.2990/fullpdf

Reference20 articles.

1. Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities;Kondrat'ev;Russian Mathematical Surveys,1988

2. Hardy's and Korn's type inequalities and their applications;Kondrat'ev;Rendiconti di Matematica e delle sue Applicazioni,1990

3. The spectrum of the elasticity problem for a spiked body;Nazarov;Sibirskii Matematicheskii Zhurnal,2008

4. A criterion for the existence of the essential spectrum for beak-shaped elastic bodies;Cardone;Journal de Mathematiques Pures et Appliquees,2009

5. Korn inequalities that are asymptotically sharp for thin domains;Nazarov;Vestnik St. Petersburg University. Mathematics,1992

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape;Calculus of Variations and Partial Differential Equations;2022-11-05

2. Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain;St. Petersburg Mathematical Journal;2022-03-04

3. Asymptotic analysis of an elastic rod with rounded ends;Mathematical Methods in the Applied Sciences;2020-04-12

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