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On the
well-posedness of the Green–Lindsay model
Gia Avalishvili, Mariam Avalishvili and Wolfgang H. Müller
Vol. 5 (2017), No. 2, 115–125
DOI: 10.2140/memocs.2017.5.115
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Abstract |
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The present paper is devoted to an investigation of a nonclassical model for inhomogeneous anisotropic thermoelastic bodies with two constant relaxation times originally presented by Green and Lindsay. A variational formulation of the initial-boundary value problem corresponding to the linear dynamical three-dimensional Green–Lindsay model is applied. The corresponding spaces of vector-valued distributions with respect to the time variable with values in Sobolev spaces are defined and the existence and uniqueness of the solution in these spaces as well as continuous dependence of the solution on the given data is shown. |
Keywords
nonclassical thermoelasticity, initial-boundary value
problem, existence and uniqueness of solution
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Mathematical Subject Classification 2010
Primary: 74F05, 74H20, 74H25
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Milestones
Received: 5 September 2016
Revised: 12 November 2016
Accepted: 19 December 2016
Published: 13 April 2017
Communicated by Francesco dell'Isola
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Authors |
| Gia Avalishvili | |
| Faculty of Exact and Natural
Sciences I. Javakhishvili Tbilisi State University 3, I. Tchavtchavadze Ave. 0179 Tbilisi Georgia |
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| Mariam Avalishvili | |
| School of Informatics, Engineering
and Mathematics University of Georgia 77a, M. Kostava Str. 0175 Tbilisi Georgia |
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| Wolfgang H. Müller | |
| Institute of Mechanics, LKM Technische Universität Berlin Einsteinufer 5 D-10587 Berlin Germany |
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