The Cauchy problem for a one dimensional nonlinear elastic peridynamic model

Erbay, Hüsnü A. and Erkip, Albert and Muslu, Gülçin M. (2012) The Cauchy problem for a one dimensional nonlinear elastic peridynamic model. Journal of Differential Equations, 252 (8). pp. 4392-4409. ISSN 0022-0396

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Official URL: http://dx.doi.org/10.1016/j.jde.2012.01.008

Abstract

This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an innitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed. The existence of a global solution is proved rst in the sublinear case and then for nonlinearities of degree at most three. The conditions for nite-time blow-up of solutions are established.

Item Type:	Article
Uncontrolled Keywords:	Nonlocal Cauchy problem; Nonlinear peridynamic equation; Global existence; Blow-up
Subjects:	Q Science > QA Mathematics > QA299.6-433 Analysis
ID Code:	18935
Deposited By:	Albert Erkip
Deposited On:	04 Apr 2012 16:05
Last Modified:	04 Apr 2012 16:05

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The cauchy problem for a one dimensional nonlinear elastic peridynamic model. (deposited 24 Jan 2012 14:32)
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