46 research outputs found
Travelling waves for the Gross-Pitaevskii equation II
Full text linkThe 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.Comment: Final version accepted for publication in Communications in
Mathematical Physics with a few minor corrections and added remark
Estimates of solutions of a general initial-boundary-value problem for the linear nonstationary system of Navier-Stokes equations in a half-space
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Über die Dualen von Banachräumen, die durch Lineare Approximationsprozesse Erzeugt Werden, und Anwendungen für Periodische Distributionen
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