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Title: On an elasto-dynamic evolution equation with non dead load and friction (English)
Author: Chau, Oanh
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940
Volume: 51
Issue: 3
Year: 2006
Pages: 229-246
Summary lang: English
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Category: math
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Summary: In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method. (English)
Keyword: evolution equation
Keyword: existence and uniqueness
Keyword: Faedo-Galerkin method
Keyword: friction
Keyword: elasticity
Keyword: dynamic process
MSC: 34G20
MSC: 34K07
MSC: 34K10
MSC: 47H05
MSC: 74B20
MSC: 74H20
MSC: 74H25
MSC: 74M10
MSC: 74M15
idZBL: Zbl 1164.34460
idMR: MR2228664
DOI: 10.1007/s10492-006-0013-y
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Date available: 2009-09-22T18:25:45Z
Last updated: 2015-05-17
Stable URL: http://hdl.handle.net/10338.dmlcz/134638
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