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Periodic boundary value problem for second-order differential equations from geophysical fluid flows

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Abstract

In this paper, we study a new model for a jet component of the Antarctic Circumpolar Current. In the case of vorticity with perturbation, we present the existence results for positive solutions to periodic boundary value problems for general nonlinear, weak nonlinearity and semilinear terms. A computational method is established and an approximate scheme of solution is also given.

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Acknowledgements

The authors are grateful to the referees for their careful reading of the manuscript and their valuable comments. We thank the editor also. There are no conflicts of interest to this work.

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, Guiyang, 550025, Guizhou, China

    JinRong Wang & Wenlin Zhang

  2. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, China

    JinRong Wang

  3. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48, Bratislava, Slovakia

    Michal Fečkan

  4. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia

    Michal Fečkan

Authors
  1. JinRong Wang
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  2. Wenlin Zhang
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  3. Michal Fečkan
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Corresponding author

Correspondence to JinRong Wang.

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Communicated by Adrian Constantin.

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This work is partially supported by the National Natural Science Foundation of China (11661016), Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), Guizhou Data Driven Modeling Learning and Optimization Innovation Team ([2020]5016), Department of Science and Technology of Guizhou Province ((Fundamental Research Program [2018]1118)), the Slovak Research and Development Agency under the contract No. APVV-18-0308, and the Slovak Grant Agency VEGA No. 1/0358/20 and No. 2/0127/20.

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Wang, J., Zhang, W. & Fečkan, M. Periodic boundary value problem for second-order differential equations from geophysical fluid flows. Monatsh Math 195, 523–540 (2021). https://doi.org/10.1007/s00605-021-01539-3

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  • DOI: https://doi.org/10.1007/s00605-021-01539-3

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