Travelling waves for the Gross-Pitaevskii equation II

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The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Our arguments, based on minimization under constraints, yield a full branch of solutions, and extend earlier results, where only a part of the branch was built. In dimension three, we also show that there are no travelling wave solutions of small energy.
Final version accepted for publication in Communications in Mathematical Physics with a few minor corrections and added remarks

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Analysis of PDEs, 35Q55, 35Q51

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http://salesiana.dossiersoluciones.com/handle/123456789/218796

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2408
 http://arxiv.org/abs/0711.2408
 Communications in Mathematical Physics 285, 2 (2009) 567-651
 doi:10.1007/s00220-008-0614-2

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arXiv