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Functional-analytic existence results for an integral equation in geophysics

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Abstract

We study a model in a deep way for arctic gyre flows which are uniform in the azimuthal direction. Such a model is transformed to a nonlinear integral equation on infinite-interval. By functional-analytic techniques, we investigate the existence of solutions of the integral equation with general nonlinear oceanic vorticities.

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Acknowledgements

The author would like to show her great thanks to Professor Jifeng Chu for his valuable suggestions and useful discussions. This work was supported by the Fundamental Research Funds for the Central Universities (Grant No. 2017B715X14) and the Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYCX17_0508).

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Hohai University, Nanjing, 210098, China

    Yanjuan Yang

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  1. Yanjuan Yang
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Correspondence to Yanjuan Yang.

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Communicated by A. Kilian.

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Yang, Y. Functional-analytic existence results for an integral equation in geophysics. Monatsh Math 189, 771–780 (2019). https://doi.org/10.1007/s00605-018-1221-8

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  • DOI: https://doi.org/10.1007/s00605-018-1221-8

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