Stability of some turbulent vertical models for the ocean mixing boundary layer

TL;DR

This paper investigates the mathematical stability of four turbulent models used to simulate the ocean's boundary mixing layer, establishing solution existence and analyzing their stability properties.

Contribution

It introduces and analyzes the stability of four specific turbulent models for ocean boundary layer simulation, providing new mathematical insights.

Findings

Existence of steady-state solutions for the models

Mathematical stability analysis of these solutions

Comparison of model stability properties

Abstract

We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions.