Stability analysis of the boundary value problem modeling a two-layer ocean

Journal article (2022)

Authors

K. Marynets Mathematical Physics - EEMCS
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2022 K. Marynets
DOI: https://doi.org/10.3934/cpaa.2022083
Bifurcation Eddy viscosity Two-layer ocean Boundedness of the solution Logarithmic matrix norm Matrix measure
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Published Date

2022

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

Abstract

We study boundedness of solutions to a linear boundary value
problem (BVP) modelling a two-layer ocean with a uniform eddy viscosity in
the lower layer and variable eddy viscosity in the upper layer. We analyse
bounds of solutions to the given problem on the examples of different eddy
viscosity profiles in the case of their parameter dependence.