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
