The cauchy problem for a one-dimensional nonlinear elastic peridynamic model

Name: The cauchy problem for a one-dimensional nonlinear elastic peridynamic model
Author: Erbay, Hüsnü Ata, Erkip, A., Muslu, G. M.

İsim	The cauchy problem for a one-dimensional nonlinear elastic peridynamic model
Yazar	Erbay, Hüsnü Ata, Erkip, A., Muslu, G. M.
Basım Tarihi:	2012-04-15
Basım Yeri	- Elsevier
Konu	Nonlocal cauchy problem, Nonlinear peridynamic equation, Global existence, Blow-up
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0022-0396
Kayıt Numarası	749bb08a-88bf-43a0-9068-063c529e763a
Lokasyon	Natural and Mathematical Sciences
Tarih	2012-04-15
Notlar	TÜBİTAK
Örnek Metin	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

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The cauchy problem for a one-dimensional nonlinear elastic peridynamic model

Yazar Erbay, Hüsnü Ata, Erkip, A., Muslu, G. M.

Basım Tarihi 2012-04-15

Basım Yeri - Elsevier

Konu Nonlocal cauchy problem, Nonlinear peridynamic equation, Global existence, Blow-up

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0022-0396

Kayıt Numarası 749bb08a-88bf-43a0-9068-063c529e763a

Lokasyon Natural and Mathematical Sciences

Tarih 2012-04-15

Notlar TÜBİTAK

Örnek Metin 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