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 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0170-4214 1099-1476 |
| DOI: | 10.1002/mma.1670090103 |