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Asymptotic Behavior for the Davey–Stewartson System at the Mass-Energy Threshold

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Abstract

This paper is concerned with the mass-energy threshold dynamics for the elliptic–elliptic Davey–Stewartson system in dimension three. By proving the compactness of minimizing sequence for the Weinstein functional, we show the long time behavior of solutions with data being at the mass-energy threshold. Our proof is based on a Gagliardo–Nirenberg type inequality, localized virial estimates and the concentration-compactness lemma.

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Data Availability Statement

The data that support the findings of this study are available within the article.

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Funding

The project is supported by the National Science Foundation of China (Grant No. 12171343) and Sichuan Science and Technology Program (Nos. 2022ZYD0009 and 2022JDTD0019).

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Authors and Affiliations

  1. School of Mathematical Sciences and V.C., V.R. Key Lab of Sichuan Province, Sichuan Normal University, Chengdu, 610066, Sichuan, People’s Republic of China

    Juan Huang, Yangyang Wang & Sheng Wang

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  1. Juan Huang
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  3. Sheng Wang
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Correspondence to Juan Huang.

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Huang, J., Wang, Y. & Wang, S. Asymptotic Behavior for the Davey–Stewartson System at the Mass-Energy Threshold. Results Math 79, 25 (2024). https://doi.org/10.1007/s00025-023-02057-4

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