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arXiv:1911.03944 [math.AP]AbstractReferencesReviewsResources

Coercivity for travelling waves in the Gross-Pitaevskii equation in $\mathbb{R}^2$ for small speed

David Chiron, Eliot Pacherie

Published 2019-11-10Version 1

In a previous paper, we constructed a smooth branch of travelling waves for the 2 dimensional Gross-Pitaevskii equation. Here, we continue the study of this branch. We show some coercivity results, and we deduce from them the kernel of the linearized operator, a spectral stability result, as well as a uniqueness result in the energy space.

Categories: math.AP
Subjects: 35B35, 35C07, 35Q40, 35Q56
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