Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows
type: Item
instance of: scholarly article
title: Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows
zbMATH Open document ID: 1467.34043
author: Yi Guan
author: Michal Fečkan
author: Jinrong Wang
published in: Discrete and Continuous Dynamical Systems
publication date: 2021-02-24T00:00:00Z
review text: The authors of this paper investigate the classical problem of the wind in the steady atmospheric Ekman layer with constant eddy viscosity. A new nonhomogeneous system of first order differential equations is established and the turbulent fluxes are retained which is different from the well-known homogeneous system from previous literatures. The authors establish some sufficient conditions for the existence and uniqueness of periodic solutions and the Hyers-Ulam stability for the nonhomogeneous systems under mild conditions via matrix theory. In addition, the authors also consider the nonhomogeneous systems with varying eddy viscosity coefficient and study the systems with piecewise constants, the systems with small oscillations, the systems with rapidly varying coefficients and the systems with slowly varying coefficients and some more continued results are presented.
reviewed by: Chao Wang
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 7314905
zbMATH Keywords: Ekman layer
zbMATH Keywords: periodic solution
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: monodromy matrix
zbMATH Keywords: Cauchy matrix
MaRDI profile type: Publication
full work available at URL: dcds.2020313
OpenAlex ID: W3047663382
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DOI: 10.3934/DCDS.2020313
description: scientific article; zbMATH DE number 7314905