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A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity

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Duruk, Nilay and Erkip, Albert and Erbay, Hüsnü A. (2009) A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity. IMA Journal of applied mathematics, 74 (1). pp. 97-106. ISSN 0272-4960

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Abstract

In one space dimension, a non-local elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higher-order Boussinesq equation using locally non-linear theory of 1D non-local elasticity and then we are able to show that under certain conditions the Cauchy problem is globally well-posed.
Item Type: Article
Uncontrolled Keywords: higher-order Boussinesq equation; non-local elasticity; global well-posedness; Cauchy problem
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Albert Erkip
Date Deposited: 03 Aug 2008 09:38
Last Modified: 19 Jul 2019 09:49
URI: https://research.sabanciuniv.edu/id/eprint/8722

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