The asymptotic behavior for the Navier-Stokes-Voigt-Brinkman-Forchheimer equations with memory and Tresca friction in a thin domain

Abstract

In this article, we investigate the behavior of weak solutions for the three-dimensional Navier-Stokes-Voigt-Brinkman-Forchheimer fluid model with memory and Tresca friction law within a thin domain. We analyze the asymptotic behavior as one dimension of the fluid domain approaches zero. We derive the limit problem and obtain the specific Reynolds equation, while also establishing the uniqueness of the limit velocity and pressure distributions.

Keywords

• asymptotic behavior
• navier-stokes-voigt-brinkman-forchheimer equations
• reynolds equation
• mathematical model
• nonlinear systems
• tresca friction law
• 35r35
• 76f10
• 78m35