Journal Menu

Abstracting and Indexing
Aims and Scope
Article Processing Charges
Author Guidelines
Bibliographic Information
Contact Information
Editorial Board
Editorial Workflow
Reviewers Acknowledgment
Subscription Information

Abstract
Full-Text PDF

International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 22, Pages 3609-3630
doi:10.1155/IJMMS.2005.3609

On the local well-posedness of a Benjamin-Ono-Boussinesq system

Ruying Xue

Department of Mathematics, Zhejiang University, Xixi Campus, Zhejiang, Hangzhou 310028, China

Abstract

Consider a Benjamin-Ono-Boussinesq system ηt+ux+auxxx+(uη)x=0,ut+ηx+uux+cηxxx−duxxt=0, where a, c, and d are constants satisfying a=c>0, d>0 or a<0, c<0, d>0. We prove that this system is locally well posed in Sobolev space Hs(ℝ)×Hs+1(ℝ), with s>1/4.