Liouville-type theorems for steady Navier-Stokes system under helical symmetry or Navier boundary conditions
J Han, Y Wang, C Xie - arXiv preprint arXiv:2312.10382, 2023 - arxiv.org
In this paper, the Liouville-type theorems for the steady Navier-Stokes system are
investigated. First, we prove that any bounded smooth helically symmetric solution in …
investigated. First, we prove that any bounded smooth helically symmetric solution in …
On the Steady Navier-Stokes system with Navier slip boundary conditions in two-dimensional channels
K Sha, Y Wang, C Xie - arXiv preprint arXiv:2210.15204, 2022 - arxiv.org
In this paper, we investigate the incompressible steady Navier-Stokes system with Navier
slip boundary condition in a two-dimensional channel. As long as the width of cross-section …
slip boundary condition in a two-dimensional channel. As long as the width of cross-section …
Navier-stokes equations with navier boundary conditions and stochastic lie transport: Well-posedness and inviscid limit
D Goodair - arXiv preprint arXiv:2308.04290, 2023 - arxiv.org
We prove the existence and uniqueness of global, probabilistically strong, analytically strong
solutions of the 2D Stochastic Navier-Stokes Equation under Navier boundary conditions …
solutions of the 2D Stochastic Navier-Stokes Equation under Navier boundary conditions …
On Leray's problem in an infinitely long pipe with the Navier-slip boundary condition
Z Li, X Pan, J Yang - Science China Mathematics, 2024 - Springer
The original Leray's problem concerns the well-posedness of weak solutions to the steady
incompressible Navier-Stokes equations in a distorted pipe, which approach the Poiseuille …
incompressible Navier-Stokes equations in a distorted pipe, which approach the Poiseuille …
Steady compressible Navier-Stokes-Fourier system with slip boundary conditions arising from kinetic theory
R Duan, J Zhang - arXiv preprint arXiv:2409.11809, 2024 - arxiv.org
This paper studies the boundary value problem on the steady compressible Navier-Stokes-
Fourier system in a channel domain $(0, 1)\times\mathbb {T}^ 2$ with a class of generalized …
Fourier system in a channel domain $(0, 1)\times\mathbb {T}^ 2$ with a class of generalized …
On the Leray problem for steady flows in two-dimensional infinitely long channels with slip boundary conditions
K Sha, Y Wang, C Xie - Frontiers of Mathematics, 2024 - Springer
In this paper, we investigate the Leray problem for steady Navier–Stokes system with full slip
boundary conditions in a two-dimensional channel with straight outlets. The existence of …
boundary conditions in a two-dimensional channel with straight outlets. The existence of …
Gradient estimates for the non-stationary Stokes system with the Navier boundary condition
H Chen, S Liang, TP Tsai - arXiv preprint arXiv:2306.16480, 2023 - arxiv.org
For the non-stationary Stokes system, it is well-known that one can improve spatial regularity
in the interior, but not near the boundary if it is coupled with the no-slip boundary condition …
in the interior, but not near the boundary if it is coupled with the no-slip boundary condition …
On Inhibition of Rayleigh--Taylor Instability by a Horizontal Magnetic Field in Non-resistive MHD Fluids: the Viscous Case
F Jiang, S Jiang, Y Zhao - arXiv preprint arXiv:2202.13731, 2022 - arxiv.org
It is still open whether the phenomenon of inhibition of Rayleigh--Taylor (RT) instability by a
horizontal magnetic field can be mathematically verified for a non-resistive\emph {viscous} …
horizontal magnetic field can be mathematically verified for a non-resistive\emph {viscous} …
Uniqueness and uniform structural stability of Poiseuille flows in an infinitely long pipe with Navier boundary conditions
Y Wang, C Xie - Journal of Differential Equations, 2023 - Elsevier
In this paper, uniqueness and uniform structural stability of Poiseuille flows in an infinitely
long pipe with Navier boundary conditions are established for axisymmetric solutions of …
long pipe with Navier boundary conditions are established for axisymmetric solutions of …
Continuous boundary condition at the interface for two coupled fluids
F Legeais, R Lewandowski - Applied Mathematics Letters, 2023 - Elsevier
We consider two laminar incompressible flows coupled by the continuous law at a fixed
interface Γ I. We approach the system by one that satisfies a friction Navier law at Γ I, and we …
interface Γ I. We approach the system by one that satisfies a friction Navier law at Γ I, and we …