Finite time blow-up and stability properties of materials with fading memory

Finite time blow-up and stability properties of materials with fading memory

A detailed analysis of the equations of nonlinear elasticity is carried out for a certain class of initial‐boundary value problems. In particular, I examine whether the presence in the differential equation of a mechanical mechanism of dissipation is able to prevent instabilities and ensure global e...

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Veröffentlicht in:Mathematical methods in the applied sciences 1987, Vol.9 (1), p.13-34
Hauptverfasser: Calderer, M. C., Hsiao, G.
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container_title Mathematical methods in the applied sciences
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creator Calderer, M. C.
Hsiao, G.
description A detailed analysis of the equations of nonlinear elasticity is carried out for a certain class of initial‐boundary value problems. In particular, I examine whether the presence in the differential equation of a mechanical mechanism of dissipation is able to prevent instabilities and ensure global existence in time of the solutions.
doi_str_mv 10.1002/mma.1670090103
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title Finite time blow-up and stability properties of materials with fading memory
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