The sharp threshold and limiting profile of blow-up solutions for a Davey–Stewartson system

The blow-up solutions of the Cauchy problem for the Davey–Stewartson system, which is a model equation in the theory of shallow water waves, are investigated. Firstly, the existence of the ground state for the system derives the best constant of a Gagliardo–Nirenberg type inequality and the variatio...

Full description

Bibliographic Details
Main Authors: Li, X., Zhang, J., Lai, S., Wu, Yong Hong
Format: Journal Article
Published: Academic Press 2011
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/27805