نویسنده
Erbay, Hüsnü Ata, Erkip, A., Muslu, G. M.
تاریخ انتشار
2012-04-15
محل انتشار
-
Elsevier
موضوع
Nonlocal cauchy problem, Nonlinear peridynamic equation, Global existence, Blow-up
نوع
دوره ای
زبان
انگلیسی
دیجیتال
بله
نسخه خطی
خیر
کتابخانه
دانشگاه اوزیغین
شناسه دارایی کتابخانه
0022-0396
شماره ثبت
749bb08a-88bf-43a0-9068-063c529e763a
محل کتابخانه
Natural and Mathematical Sciences
تاریخ
2012-04-15
یادداشتها
TÜBİTAK
متن نمونه
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
