Functional-analytic existence results for an integral equation in geophysics
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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.
KeywordsFunctional-analytic approach Nonlinear integral equations Geophysical flows
Mathematics Subject Classification45G99 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).
- 6.Constantin, A.: Nonlinear water waves with applications to wave–current interactions and tsunamis. In: CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 81. SIAM, Philadelphia (2011)Google Scholar
- 18.Garrison, T.: Essentials of Oceanography. National Geographic Society/Cengage Learning, Stamford (2014)Google Scholar
- 26.Zeidler, E.: Nonlinear Functional Analysis and Its Applications, I. Fixed-Point Theorems, translated from the German by Peter R. Wadsack. Springer, New York (1986)Google Scholar