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Existence and uniqueness results for modeling jet flow of the antarctic circumpolar current

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Abstract

In this paper we are concerned with the analysis of a mathematical model, a two point boundary value problem for a second-order differential equation, that is used to deal with the jet flow of the antarctic circumpolar current. We present some new existence and uniqueness results when the vorticity function satisfies either a Lipschitz condition or is continuous.

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Authors and Affiliations

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

    JinRong Wang & Qian Wen

  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

  5. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

Authors
  1. JinRong Wang
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  2. Michal Fečkan
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  3. Qian Wen
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  4. Donal O’Regan
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Corresponding author

Correspondence to JinRong Wang.

Additional information

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), Major Research Project of Innovative Group in Guizhou Education Department ([2018]012), 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., Fečkan, M., Wen, Q. et al. Existence and uniqueness results for modeling jet flow of the antarctic circumpolar current. Monatsh Math 194, 601–621 (2021). https://doi.org/10.1007/s00605-020-01493-6

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  • DOI: https://doi.org/10.1007/s00605-020-01493-6

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