Global classical solutions to the compressible Navier-Stokes equations with slip boundary conditions in 3D exterior domains

G Cai, J Li, B Lü - arXiv preprint arXiv:2112.05586, 2021 - arxiv.org
We are concerned with the global existence of classical solutions to the barotropic
compressible Navier-Stokes equations with slip boundary condition in a three-dimensional …

Very weak solution for the exterior stationary Stokes equations with Navier slip boundary condition

A Dhifaoui - arXiv preprint arXiv:2111.05824, 2021 - arxiv.org
In some problems of fluid mechanics, it is possible to be confronted with data that are not
regular, that is why we are interested here in the search for the so-called very weak solutions …

Global solutions to an initial boundary problem for the compressible 3D MHD equations with Navier-slip and perfectly conducting boundary conditions in exterior …

H Liu, T Luo, H Zhong - Nonlinearity, 2022 - iopscience.iop.org
Global solutions to an initial boundary problem for the compressible 3D MHD equations with
Navier-slip and perfectly conducting Page 1 Nonlinearity PAPER Global solutions to an initial …

-theory for the exterior Stokes problem with Navier's type slip-without-friction boundary conditions

A Dhifaoui - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
In this paper, we consider the stationary Stokes equations in an exterior domain three-
dimensional under a slip boundary condition without friction. We set the problem in weighted …

On the three‐dimensional stationary exterior Stokes problem with non standard boundary conditions

H Louati, M Meslameni… - ZAMM‐Journal of Applied …, 2020 - Wiley Online Library
We study the three‐dimensional stationary exterior Stokes problem with non standard
boundary conditions corresponding to a slip‐without‐friction boundary conditions. Because …

New insights on the Stokes paradox for flow in unbounded domains

IG Gjerde, L Ridgway Scott - The European Physical Journal Plus, 2024 - Springer
Stokes flow equations, used to model creeping flow, are a commonly used simplification of
the Navier–Stokes equations. In infinite domains, they admit a fundamental paradox. In this …

The scalar Oseen problem in two-dimensional exterior domains

SB Ayed, M Meslameni - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
In the present paper, we investigate the scalar Oseen equation in a two-dimensional exterior
domain Ω, with Dirichlet boundary condition. This problem represents a linearized form of …

-Strong solution for the stationary exterior Stokes equations with Navier boundary condition

A Dhifaoui - arXiv preprint arXiv:2201.02841, 2022 - arxiv.org
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 …

Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in Lp‐theory

A Dhifaoui - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this work, we study the very weak solution for the stationary exterior Stokes problem with
Navier slip boundary condition. We try to investigate some results of the existence and the …

Linearized Navier–Stokes Equations with Boundary Conditions Involving the Pressure in an Exterior Domain of

M Meslameni - Mediterranean Journal of Mathematics, 2020 - Springer
In this paper, we consider the stationary Oseen equations in an exterior domain of R^ 3 R 3
with boundary conditions involving the pressure. Our purpose is to prove the existence and …