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- W3208447782 abstract "<abstract><p>In this paper we consider traveling waves for the Gross-Pitaevskii equation which are $ T $-periodic in each variable. We prove that if $ T $ is large enough, there exists a solution as a global minimizer of the corresponding action functional. In the subsonic case, we can use variational methods to prove the existence of a mountain-pass solution. Moreover, we show that for small $ T $ the problem admits only constant solutions.</p></abstract>" @default.
- W3208447782 created "2021-11-08" @default.
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- W3208447782 date "2022-01-01" @default.
- W3208447782 modified "2023-10-14" @default.
- W3208447782 title "Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori" @default.
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- W3208447782 doi "https://doi.org/10.3934/mine.2023011" @default.
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