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

K. Marynets

doi:10.3934/cpaa.2022083

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

K. Marynets

Mathematical Physics

Research output: Contribution to journal › Article › Scientific › peer-review

2 Citations (Scopus)

52 Downloads (Pure)

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.

Original language	English
Pages (from-to)	2433-2445
Number of pages	13
Journal	Communications on Pure and Applied Analysis
Volume	21
Issue number	7
DOIs	https://doi.org/10.3934/cpaa.2022083
Publication status	Published - 2022

Keywords

two-layer ocean
bifurcation
eddy viscosity
boundedness of the solution
logarithmic matrix norm
matrix measure

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10.3934/cpaa.2022083

1534-0392_2022_7_2433Final published version, 589 KB

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title = "Stability analysis of the boundary value problem modeling a two-layer ocean",

abstract = "We study boundedness of solutions to a linear boundary valueproblem (BVP) modelling a two-layer ocean with a uniform eddy viscosity inthe lower layer and variable eddy viscosity in the upper layer. We analysebounds of solutions to the given problem on the examples of different eddyviscosity profiles in the case of their parameter dependence.",

keywords = "two-layer ocean, bifurcation, eddy viscosity, boundedness of the solution, logarithmic matrix norm, matrix measure",

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

KW - two-layer ocean

KW - bifurcation

KW - eddy viscosity

KW - boundedness of the solution

KW - logarithmic matrix norm

KW - matrix measure

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DO - 10.3934/cpaa.2022083

M3 - Article

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JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 7

ER -

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

Abstract

Keywords

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