Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem
The paper is concerned with the existence and stability of weak (variational) solutions for the problem of the quasistatic evolution of a viscoelastic material under mixed inhomogenous Dirichlet-Neumann boundary conditions. The main novelty of the paper relies in dealing with continuous-in-time weak...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/828315 |
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| _version_ | 1849308485289771008 |
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| author | Julia Orlik |
| author_facet | Julia Orlik |
| author_sort | Julia Orlik |
| collection | DOAJ |
| description | The paper is concerned with the existence and stability of weak (variational) solutions
for the problem of the quasistatic evolution of a viscoelastic material under
mixed inhomogenous Dirichlet-Neumann boundary conditions. The main novelty
of the paper relies in dealing with continuous-in-time weak solutions and allowing nonconvolution and weak-singular Volterra's relaxation kernels. |
| format | Article |
| id | doaj-art-05210135ccef4d0583aadca87d4df3b3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-05210135ccef4d0583aadca87d4df3b32025-08-20T03:54:28ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/828315828315Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity ProblemJulia Orlik0Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Gottlieb-Daimler Straße 49 D, 67663 Kaiserslautern, GermanyThe paper is concerned with the existence and stability of weak (variational) solutions for the problem of the quasistatic evolution of a viscoelastic material under mixed inhomogenous Dirichlet-Neumann boundary conditions. The main novelty of the paper relies in dealing with continuous-in-time weak solutions and allowing nonconvolution and weak-singular Volterra's relaxation kernels.http://dx.doi.org/10.1155/2009/828315 |
| spellingShingle | Julia Orlik Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem Abstract and Applied Analysis |
| title | Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem |
| title_full | Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem |
| title_fullStr | Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem |
| title_full_unstemmed | Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem |
| title_short | Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem |
| title_sort | existence and stability estimate for the solution of the ageing hereditary linear viscoelasticity problem |
| url | http://dx.doi.org/10.1155/2009/828315 |
| work_keys_str_mv | AT juliaorlik existenceandstabilityestimateforthesolutionoftheageinghereditarylinearviscoelasticityproblem |