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A Non-Existence Result for Supersonic Travelling Waves in the Gross-Pitaevskii Equation

โœ Scribed by Philippe Gravejat

Publisher
Springer
Year
2003
Tongue
English
Weight
162 KB
Volume
243
Category
Article
ISSN
0010-3616

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Limit at infinity for travelling waves i
Limit at infinity for travelling waves in the Grossโ€“Pitaevskii equation
โœ Philippe Gravejat ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 106 KB

We study the decay of the travelling waves of finite energy in the Gross-Pitaevskii equation in dimension greater than three and prove their uniform convergence to a constant of modulus one at infinity.