A Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
Yükleniyor...
Dosyalar
Tarih
2009-02
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Oxford Univ Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In one space dimension, a non-local elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higher-order Boussinesq equation using locally non-linear theory of 1D non-local elasticity and then we are able to show that under certain conditions the Cauchy problem is globally well-posed.
Açıklama
Anahtar Kelimeler
Higher-order boussinesq equation, Non-local elasticity, Cauchy problem, Global well-posedness, Boussinesq equations, Global existence, Global solution, Elasticity, Programming theory, Surface structure, Elastic models, Non-linear theories, One-dimensional, Space dimensions, Spatial points, Partial differential equations
Kaynak
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
74
Sayı
1
Künye
Duruk, N., Erkip, A. & Erbay, H. A. (2009). A higher-order boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 74(1), 97-106. doi:10.1093/imamat/hxn020
