## Differential and Integral Equations

### Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation

Philippe Gravejat

#### Abstract

We study the limit at infinity of sonic travelling waves of finite energy in the Gross-Pitaevskii equation in dimension $N \geq 2$ and prove the nonexistence of nonconstant sonic travelling waves of finite energy in dimension two.

#### Article information

Source
Differential Integral Equations Volume 17, Number 11-12 (2004), 1213-1232.

Dates
First available in Project Euclid: 21 December 2012