On a nonlinear model for arctic gyres

  • Jifeng Chu


We prove some results on the existence and uniqueness of solutions to a recently derived nonlinear model for the ocean flow in arctic gyres. We derive an equivalent formulation of the problem in the form of an integral equation on a semi-infinite interval and then use fixed point techniques. We also obtain some stability result.


Differential equation Integral equation Ocean gyre 

Mathematics Subject Classification

45G99 58J32 76B03 



This work was supported by the National Natural Science Foundation of China (Grant No. 11671118).


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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Normal UniversityShanghaiChina

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