## Differential and Integral Equations

### Mass concentration for the Davey-Stewartson system

Geordie Richards

#### Abstract

This paper is concerned with the analysis of blow-up solutions to the elliptic-elliptic Davey-Stewartson system, which appears in the description of the evolution of surface water waves. We prove a mass concentration property for $H^{1}$-solutions, analogous to the one known for the $L^{2}$-critical nonlinear Schrödinger equation. We also prove a mass concentration result for $L^{2}$-solutions.

#### Article information

Source
Differential Integral Equations, Volume 24, Number 3/4 (2011), 261-280.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019033

Mathematical Reviews number (MathSciNet)
MR2757460

Zentralblatt MATH identifier
1240.35520

#### Citation

Richards, Geordie. Mass concentration for the Davey-Stewartson system. Differential Integral Equations 24 (2011), no. 3/4, 261--280. https://projecteuclid.org/euclid.die/1356019033