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Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
Author(s) -
E. Bonetti,
Giovanna Bonfanti
Publication year - 2005
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa.2005.105
Subject(s) - quasistatic process , mathematics , uniqueness , acceleration , limit (mathematics) , asymptotic analysis , mathematical analysis , zero (linguistics) , boundary (topology) , classical mechanics , physics , linguistics , philosophy , quantum mechanics
We have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration forces goes to zero. In particular, well-posedness and regularity results for the limit (quasistatic) problem are recovered

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