Differential and Integral Equations
- Differential Integral Equations
- Volume 17, Number 11-12 (2004), 1213-1232.
Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation
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.
Differential Integral Equations Volume 17, Number 11-12 (2004), 1213-1232.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35B40: Asymptotic behavior of solutions
Gravejat, Philippe. Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation. Differential Integral Equations 17 (2004), no. 11-12, 1213--1232. https://projecteuclid.org/euclid.die/1356060242.