Opening book details…
Can I read WKB analysis for the Gross–Pitaevskii equation with non-trivial boundary conditions at infinity on EtoBox?
WKB analysis for the Gross–Pitaevskii equation with non-trivial boundary conditions at infinity by Thomas Alazard; Rémi Carles is a Mathematics article available to read on EtoBox.
What is WKB analysis for the Gross–Pitaevskii equation with non-trivial boundary conditions at infinity about?
We consider the semi-classical limit for the Gross-Pitaevskii equation. In order to consider non-trivial boundary conditions at infinity, we work in Zhidkov spaces rather than in Sobolev spaces. For the usual cubic nonlinearity, we obtain a point-wise description of the wave function as the Planck constant goes to zero, so long as no singularity appears in the limit system. For a cubic-quintic nonlinearity, we show that working with analytic data may be necessary and sufficient to obtain a similar result.
Who reads WKB analysis for the Gross–Pitaevskii equation with non-trivial boundary conditions at infinity?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Thomas Alazard; Rémi Carles
- Publisher
- European Mathematical Society - EMS - Publishing House GmbH
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)