title
  

The Cauchy problem for a one dimensional nonlinear elastic peridynamic model

Warning The system is temporarily closed to updates for reporting purpose.

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

This is the latest version of this item.

Full text not available from this repository.

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:30 Jul 2019 09:24

Available Versions of this Item

Repository Staff Only: item control page