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.
Citation
Philippe Gravejat. "Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation." Differential Integral Equations 17 (11-12) 1213 - 1232, 2004. https://doi.org/10.57262/die/1356060242
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