Cover Image

The local regularity theory for the Stokes and Navier--Stokes equations near the curved boundary

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Hui, Liang, Su, Tsai, Tai-Peng
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Poisson kernel and blow-up of the second derivatives near the boundary for Stokes equations with Navier boundary condition
by: Chen, Hui, et al.
Published: (2024)

Singular velocity of the Stokes and Navier-Stokes equations near boundary in the half space
by: Chang, TongKeun, et al.
Published: (2024)

A nonlinear instability result to the Navier-Stokes equations with Navier slip boundary conditions
by: Nguyen, Tien-Tai
Published: (2025)

Remarks on the maximal regularity for parabolic boundary value problems with inhomogeneous data
by: Chen, Hui, et al.
Published: (2025)

The Navier-Stokes equations on manifolds with boundary
by: Shao, Yuanzhen, et al.
Published: (2023)

A localized criterion for the regularity of solutions to Navier-Stokes equations
by: Li, Congming, et al.
Published: (2022)

On large periodic traveling wave solutions to the free boundary Stokes and Navier-Stokes equations
by: Banihashemi, Seyed Abdolhamid, et al.
Published: (2026)

Stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients
by: Su, Dong, et al.
Published: (2024)

Existence and regularity for perturbed Stokes system with critical drift
by: Chernobai, Misha, et al.
Published: (2024)

Stability and bifurcation of Navier-Stokes equations in an annular domain with mixed boundary conditions
by: Hou, Zhibo, et al.
Published: (2025)

Global regularity and sharp decay to the 2D Hypo-Viscous compressible Navier-Stokes equations
by: Liang, Chen, et al.
Published: (2026)

The Navier-Stokes limit of kinetic equations for low regularity data
by: Carrapatoso, Kleber, et al.
Published: (2025)

Uniform bounds and the inviscid limit for the Navier-Stokes equations with Navier boundary conditions
by: Aydın, Mustafa Sencer, et al.
Published: (2024)

An Lp-theory for fractional stationary Navier-Stokes equations
by: Jarrín, Oscar, et al.
Published: (2023)

Global regularity and sharp decay rates to the 1D hypo-viscous compressible Navier-Stokes equations
by: Liang, Chen, et al.
Published: (2026)

Global weak solutions with higher regularity to the compressible Navier-Stokes equations under Dirichlet boundary conditions
by: Huang, Xiangdi, et al.
Published: (2024)

The well-posedness and regularity of the Non-stationary Stokes and Navier-Stokes equations with the friction-type interface condition
by: Wang, Qi, et al.
Published: (2024)

Existence and regularity for perturbed Stokes system with critical drift in 2D
by: Chernobai, Misha, et al.
Published: (2025)

The one-dimensional compressible Navier-Stokes equations in critical regularity spaces
by: Danchin, Raphaël
Published: (2026)

Conditional regularity for the compressible Navier-Stokes equations with potential temperature transport
by: Lukáčová-Medviďová, Mária, et al.
Published: (2024)

Zero-viscosity limit of the chemotaxis-Navier-Stokes equations with the Navier-slip boundary condition
by: Li, Bolun, et al.
Published: (2026)

Diffusion-free boundary conditions for the Navier-Stokes equations
by: Dormy, Emmanuel, et al.
Published: (2025)

On the regularity of axially-symmetric solutions to the incompressible Navier-Stokes equations in a cylinder
by: Ożański, W. S., et al.
Published: (2024)

Global uniform regularity and vanishing vertical viscosity limit for the compressible Navier--Stokes equations in the half-space
by: Gao, Jincheng, et al.
Published: (2026)

Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
by: Bravin, Marco, et al.
Published: (2024)

Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard system
by: Giorgini, Andrea, et al.
Published: (2018)

The Stokes problem with Navier boundary conditions in irregular domains
by: Breit, Dominic, et al.
Published: (2025)

Global regularity for the Navier-Stokes equations with application to global solvability for the Euler equations
by: Ri, Myong-Hwan
Published: (2026)

On the decay and Gevrey regularity of the solutions to the Navier-Stokes equations in general two-dimensional domains
by: Danchin, Raphaël
Published: (2023)

The structure of weak solutions to the Navier-Stokes equations
by: Bradshaw, Zachary, et al.
Published: (2025)

Spatial decay/asymptotics in the Navier-Stokes equation
by: Topalov, Peter
Published: (2024)

Inhomogenous Navier--Stokes equations with unbounded density
by: Adogbo, Jean-Paul, et al.
Published: (2024)

On the well-posedness of the compressible Navier-Stokes equations
by: Guo, Zihua, et al.
Published: (2024)

Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations
by: Hu, Yuxi, et al.
Published: (2025)

Large time behavior for the 3D Navier-Stokes with Navier boundary conditions
by: Kelliher, James P., et al.
Published: (2023)

Non-uniqueness of generalized Navier-Stokes equations in subcritical spaces
by: Chen, Zipeng, et al.
Published: (2026)

Existence and regularity of steady-state solutions of the Navier-Stokes equations arising from irregular data
by: Diebou, Gael Y.
Published: (2022)

On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow
by: Huang, Wenting, et al.
Published: (2024)

From Navier-Stokes to BV solutions of the barotropic Euler equations
by: Chen, Geng, et al.
Published: (2024)

Numerical analysis of the stochastic Navier-Stokes equations
by: Breit, Dominic, et al.
Published: (2025)