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

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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 languageEnglish
Pages (from-to)2433-2445
Number of pages13
JournalCommunications on Pure and Applied Analysis
Volume21
Issue number7
DOIs
Publication statusPublished - 2022

Keywords

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

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