Author
Erbay, Hüsnü Ata, Erkip, A., Muslu, G. M.
Publication Date
2012-04-15
Publication Place
-
Elsevier
Subject
Nonlocal cauchy problem, Nonlinear peridynamic equation, Global existence, Blow-up
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
0022-0396
Record ID
749bb08a-88bf-43a0-9068-063c529e763a
Library Location
Natural and Mathematical Sciences
Date
2012-04-15
Notes
TÜBİTAK
Sample Text
This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed. The existence of a global solution is proved first in the sublinear case and then for nonlinearities of degree at most three. The conditions for finite-time blow-up of solutions are established.
DOI
10.1016/j.jde.2012.01.008
Cilt
252
