Title
Blow-up and scattering of solution for a generalized Boussinesq equation
Abstract
In this paper, we consider the Cauchy problem for a class of Boussinesq equation. We obtain the existence and uniqueness of the local solutions. For a class of nonlinearity of the perturbation, blow-up solutions are obtained. Furthermore, the global existence and nonlinear scattering for small amplitude solutions are established.
Year
DOI
Venue
2007
10.1016/j.amc.2006.10.061
Applied Mathematics and Computation
Keywords
Field
DocType
Boussinesq equation,Blow-up,Existence,Scattering
Cauchy problem,Uniqueness,Mathematical optimization,Nonlinear system,Mathematical analysis,Initial value problem,Scattering,Numerical analysis,Amplitude,Mathematics,Boussinesq approximation (water waves)
Journal
Volume
Issue
ISSN
188
2
0096-3003
Citations 
PageRank 
References 
5
1.92
0
Authors
2
Name
Order
Citations
PageRank
Ying Wang1123.24
Chunlai Mu25519.15