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

M. C. Calderer, G. Hsiao

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)13-34
Number of pages22
JournalMathematical Methods in the Applied Sciences
Volume9
Issue number1
DOIs
StatePublished - 1987

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