Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations

Name: Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations
Author: Babaoglu, C., Erbay, Hüsnü Ata, Erkip, A.

İsim	Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations
Yazar	Babaoglu, C., Erbay, Hüsnü Ata, Erkip, A.
Basım Tarihi:	2013-01
Basım Yeri	- Elsevier
Konu	Nonlocal cauchy problem, Double dispersion equation, Global existence, Blow-up, Boussinesq equation
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0362-546X
Kayıt Numarası	58eace65-b2f8-4a03-a65a-9c0b23d70262
Lokasyon	Natural and Mathematical Sciences
Tarih	2013-01
Notlar	TÜBİTAK
Örnek Metin	This study deals with the analysis of the Cauchy problem of a general class of nonlocal nonlinear equations modeling the bi-directional propagation of dispersive waves in various contexts. The nonlocal nature of the problem is reflected by two different elliptic pseudodifferential operators acting on linear and nonlinear functions of the dependent variable, respectively. The well-known doubly dispersive nonlinear wave equation that incorporates two types of dispersive effects originated from two different dispersion operators falls into the category studied here. The class of nonlocal nonlinear wave equations also covers a variety of well-known wave equations such as various forms of the Boussinesq equation. Local existence of solutions of the Cauchy problem with initial data in suitable Sobolev spaces is proven and the conditions for global existence and finite-time blow-up of solutions are established.
DOI	10.1016/j.na.2012.09.001
Cilt	77

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Özyeğin Üniversitesi

Kaynağa git

Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations

Yazar Babaoglu, C., Erbay, Hüsnü Ata, Erkip, A.

Basım Tarihi 2013-01

Basım Yeri - Elsevier

Konu Nonlocal cauchy problem, Double dispersion equation, Global existence, Blow-up, Boussinesq equation

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0362-546X

Kayıt Numarası 58eace65-b2f8-4a03-a65a-9c0b23d70262

Lokasyon Natural and Mathematical Sciences

Tarih 2013-01

Notlar TÜBİTAK

Örnek Metin This study deals with the analysis of the Cauchy problem of a general class of nonlocal nonlinear equations modeling the bi-directional propagation of dispersive waves in various contexts. The nonlocal nature of the problem is reflected by two different elliptic pseudodifferential operators acting on linear and nonlinear functions of the dependent variable, respectively. The well-known doubly dispersive nonlinear wave equation that incorporates two types of dispersive effects originated from two different dispersion operators falls into the category studied here. The class of nonlocal nonlinear wave equations also covers a variety of well-known wave equations such as various forms of the Boussinesq equation. Local existence of solutions of the Cauchy problem with initial data in suitable Sobolev spaces is proven and the conditions for global existence and finite-time blow-up of solutions are established.

DOI 10.1016/j.na.2012.09.001

Cilt 77