Global existence for elastic waves with memory
We treat the Cauchy problem for nonlinear systems of viscoelasticity with a memory term. We study the existence and the time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence...
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| Veröffentlicht in: | Archive for rational mechanics and analysis 2005-06, Vol.176 (3), p.303-330 |
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| container_issue | 3 |
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| container_title | Archive for rational mechanics and analysis |
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| creator | GEORGIEV, Vladimir RUBINO, Bruno SAMPALMIERI, Rosella |
| description | We treat the Cauchy problem for nonlinear systems of viscoelasticity with a memory term. We study the existence and the time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence of a global solution for space dimensions n≥3 and arbitrary quadratic nonlinearities.[PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1007/s00205-004-0345-2 |
| format | Article |
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| language | eng |
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| subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics Nonlinear systems Numerical approximation and analysis Ordinary and partial differential equations, boundary value problems Physics Solid mechanics Structural and continuum mechanics Studies Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | Global existence for elastic waves with memory |
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