Yazar
Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.
Basım Tarihi
2020-11-17
Basım Yeri
-
Taylor & Francis
Konu
Approximation, Nonlocal wave equation, Improved Boussinesq equation, Long-wave limit
Tür
Süreli Yayın
Dil
İngilizce
Dijital
Evet
Yazma
Hayır
Kütüphane
Özyeğin Üniversitesi
Demirbaş Numarası
0003-6811
Kayıt Numarası
7c3488d2-ff5c-47f4-a57f-cd0dc98e46df
Lokasyon
Natural and Mathematical Sciences
Tarih
2020-11-17
Örnek Metin
We consider a general class of convolution-type nonlocal wave equations modeling bidirectional nonlinear wave propagation. The model involves two small positive parameters measuring the relative strengths of the nonlinear and dispersive effects. We take two different kernel functions that have similar dispersive characteristics in the long-wave limit and compare the corresponding solutions of the Cauchy problems with the same initial data. We prove rigorously that the difference between the two solutions remains small over a long time interval in a suitable Sobolev norm. In particular, our results show that, in the long-wave limit, solutions of such nonlocal equations can be well approximated by those of improved Boussinesq-type equations.
DOI
10.1080/00036811.2019.1577393
Cilt
99
