Non-uniform continuity of periodic Holm-Staley b-family of equations
Nonlinear Analysis, Theory, Methods and Applications, cilt.75, sa.13, ss.4821-4838, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 75 Sayı: 13
- Basım Tarihi: 2012
- Doi Numarası: 10.1016/j.na.2012.03.031
- Dergi Adı: Nonlinear Analysis, Theory, Methods and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.4821-4838
- Anahtar Kelimeler: b-family, Non-uniform continuity, Traveling wave
- Trakya Üniversitesi Adresli: Hayır
Özet
We consider a family of non-evolutionary partial differential equations known as the Holm-Staley b-family which includes the integrable Camassa-Holm and Degasperis-Procesi equations. We show that the solution map is not uniformly continuous. The proof relies on a construction of smooth periodic traveling waves with small amplitude. © 2012 Elsevier Ltd. All rights reserved.