NDLI: On a non-dissipative Kirchhoff viscoelastic problem

Content Provider	Springer Nature Link
Author	Tatar, N.
Copyright Year	2013
Abstract	In this paper we consider a Kirchhoff type viscoelastic problem, and prove uniform stability of the system. We do not rely on the dissipativity of the system or the boundedness of the energy as in the previous treatments. There appears a quadratic term which we cannot estimate by the initial energy as our system is not clearly dissipative in advance.
Starting Page	285
Ending Page	296
Page Count	12
File Format	PDF
ISSN	10683623
Journal	Journal of Contemporary Mathematical Analysis
Volume Number	48
Issue Number	6
e-ISSN	19349416
Language	English
Publisher	Springer US
Publisher Date	2013-12-27
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Exponential decay Kirchhoff equation memory term relaxation function viscoelasticity Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Optimization Analysis

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On a non-dissipative Kirchhoff viscoelastic problem