Functional-analytic existence results for an integral equation in geophysics

  • Yanjuan YangEmail author


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.


Functional-analytic approach Nonlinear integral equations Geophysical flows 

Mathematics Subject Classification

45G99 58J32 76B03 



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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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, College of ScienceHohai UniversityNanjingChina

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