## Morawetz's method for the decay of the solution of the exterior initial-boundary value problem for the linearized equation of dynamic elasticity

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Morawetz's method for the decay of the solution of the exterior initial-boundary value problem for the linearized equation of dynamic elasticity
(EN)

Charalambopoulos, A
(EN)

N/A
(EN)

In this paper, the behavior of the solution of the time-dependent linearized equation of dynamic elasticity is examined. For the homogeneous problem, it is proved that in the exterior of a star-shaped body on the surface of which the displacement field is zero, the solution decays at the rate t-1 as the time t tends to infinity. For the non-homogeneous problem with a harmonic forcing term, it is proved that for large times, the elastic material in the exterior of the body, tends to a harmonic motion, with the period of the external force. The convergence to the steady harmonic state solution is at the rate t-1/2 as t tends to infinity, and is uniform on bounded sets. © 1993 Kluwer Academic Publishers.
(EN)

journalArticle

Exterior initial-boundary value problem
(EN)

Boundary value problems
(EN)

Dynamic elasticity linearized equation
(EN)

Initial Boundary Value Problem
(EN)

Linear Equations
(EN)

Dynamics
(EN)

Morawetz's method
(EN)

Time Dependent
(EN)

Elasticity
(EN)

Harmonic forcing term
(EN)

Εθνικό Μετσόβιο Πολυτεχνείο
(EL)

National Technical University of Athens
(EN)

Journal of Elasticity
(EN)

1993

Kluwer Academic Publishers
(EN)

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