Latest News

About CAMQ

Information for Authors

Editorial Board

Browse CAMQ Online

Subscription and Pricing

CAMQ Contacts

CAMQ Home

 

Volume 16,     Number 1,     Spring 2008

 

NONLINEAR DISPERSIVE WAVES ON TREES
JERRY L. BONA AND RADU C. CASCAVAL

Abstract. We investigate the well-posedness of a class of nonlinear dispersive waves on trees, in connection with the mathematical modeling of the human cardiovascular system. Specifically, we study the Benjamin-Bona-Mahony (BBM) equation, also known as the regularized long wave equation, posed on finite trees, together with standard junction and terminal boundary conditions. We prove that the Cauchy problem for the BBM equation is well-posed in an appropriate space on arbitrary finite trees.

 

Download PDF Files
 
(Subscribers Only)

© 2006-2009 Canadian Applied Mathematics Quarterly (CAMQ)