$L^p$-Strong solution for the stationary exterior Stokes equations with Navier boundary condition

Anis Dhifaoui

doi:10.1002/mma.8537

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arXiv · 2201.02841

$L^p$-Strong solution for the stationary exterior Stokes equations with Navier boundary condition

Anis Dhifaoui

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Abstract

This paper treats the stationary Stokes problem in exterior domain of $\mathbb{R}^3$ with Navier slip boundary condition. The behavior at infinity of the data and the solution are determined by setting the problem in $L^p$-spaces, for $p> 2$, with weights. The main results are the existence and uniqueness of strong solutions of the corresponding system.

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Anis Dhifaoui. 2022-01-08. $L^p$-Strong solution for the stationary exterior Stokes equations with Navier boundary condition. https://doi.org/10.1002/mma.8537

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