On dynamics of viscoelastic multidimensional medium with variable boundary

We prove the existence and uniqueness theorems for solutions of an initial-boundary value problem to the system of equations, which describes dynamics of viscoelastic continuous medium with a variable boundary and a memory along the trajectories of particles in classes of summable functions.

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Main Author: V. P. Orlov
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337502203097
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author V. P. Orlov
author_facet V. P. Orlov
author_sort V. P. Orlov
collection DOAJ
description We prove the existence and uniqueness theorems for solutions of an initial-boundary value problem to the system of equations, which describes dynamics of viscoelastic continuous medium with a variable boundary and a memory along the trajectories of particles in classes of summable functions.
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issn 1085-3375
1687-0409
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series Abstract and Applied Analysis
spelling doaj-art-15b6b294eb054fbf994d8a78043098042025-08-20T02:02:40ZengWileyAbstract and Applied Analysis1085-33751687-04092002-01-017947549510.1155/S1085337502203097On dynamics of viscoelastic multidimensional medium with variable boundaryV. P. Orlov0Department of Mathematics, Voronezh State University, Universitetskaya pl., 1, Voronezh 394693, RussiaWe prove the existence and uniqueness theorems for solutions of an initial-boundary value problem to the system of equations, which describes dynamics of viscoelastic continuous medium with a variable boundary and a memory along the trajectories of particles in classes of summable functions.http://dx.doi.org/10.1155/S1085337502203097
spellingShingle V. P. Orlov
On dynamics of viscoelastic multidimensional medium with variable boundary
Abstract and Applied Analysis
title On dynamics of viscoelastic multidimensional medium with variable boundary
title_full On dynamics of viscoelastic multidimensional medium with variable boundary
title_fullStr On dynamics of viscoelastic multidimensional medium with variable boundary
title_full_unstemmed On dynamics of viscoelastic multidimensional medium with variable boundary
title_short On dynamics of viscoelastic multidimensional medium with variable boundary
title_sort on dynamics of viscoelastic multidimensional medium with variable boundary
url http://dx.doi.org/10.1155/S1085337502203097
work_keys_str_mv AT vporlov ondynamicsofviscoelasticmultidimensionalmediumwithvariableboundary