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A problem related to the stability of force chains

✍ Scribed by Charles S. Campbell

Publisher
Springer
Year
2003
Tongue
English
Weight
183 KB
Volume
5
Category
Article
ISSN
1434-5021

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## Abstract Applying an extending force __F__ along the end‐to‐end vector __r__ of a chain enlarges the initial size __ρ__~i~ ∼ __|____r__~i~__|__ leading to a final state with __ρ__~f~ larger than __ρ__~i~. Assuming a power law dependence of the size __ρ__ ∼ __N__^__Ξ½__^ of the chain on its length

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Some spectral problems which arise in the study of forced solitary waves governed by the forced Korteweg-deVries (fKdV) equation are studied within the context of ordinary differential operators. Phenomena of interest are described in terms of continuous spectra with imbedded eigenvalues. (~