Global existence for elastic waves with memory

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
Hauptverfasser: GEORGIEV, Vladimir, RUBINO, Bruno, SAMPALMIERI, Rosella
Format: Artikel
Sprache:eng
Schlagworte:
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...)
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Zusammenfassung: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]
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-004-0345-2