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Existence, uniqueness and stability for a nonlinear problem arising from stratified arctic gyres

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Abstract

In this paper, we derive a nonlinear model for stratified arctic gyres, and prove several results on the existence, uniqueness and stability of solutions to such a model, by assuming suitable conditions for the vorticity function and the density function. The approach consists of deriving a suitable integral formulation for the problem and using fixed-point techniques.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

    Qixing Ding, Fang-fang Liao & Sulei Wang

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  1. Qixing Ding
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  2. Fang-fang Liao
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  3. Sulei Wang
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Correspondence to Qixing Ding.

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Qixing Ding was supported by the China Scholarship Council (No. 202108310216).

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Ding, Q., Liao, Ff. & Wang, S. Existence, uniqueness and stability for a nonlinear problem arising from stratified arctic gyres. Annali di Matematica (2023). https://doi.org/10.1007/s10231-023-01411-1

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