Cover Image

Liouville type theorems for the fractional Navier-Stokes equations without the integrability condition of velocity in $\mathbb{R}^3$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Wendong, Yang, Guoxu, Yu, Jianbo
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

Liouville type theorems for the 3D stationary MHD and Hall-MHD equations with non-zero constant vectors at infinity
by: Wang, Wendong, et al.
Published: (2024)

Quantitative blow-up suppression for the Patlak-Keller-Segel(-Navier-Stokes) system via Couette flow on $\mathbb{R}^2$
by: Chen, Yubo, et al.
Published: (2025)

Stability threshold of Couette flow for Boussinesq equations in $\mathbb{R}^2$
by: Chen, Yubo, et al.
Published: (2025)

New Liouville type theorems for the stationary Navier-Stokes equations
by: Tan, Wenke
Published: (2025)

Liouville-type theorem for the stationary inhomogeneous Navier-Stokes equations
by: Ding, Huiting, et al.
Published: (2025)

Logarithmic improvement of a Liouville-type theorem for the stationary Navier--Stokes equations
by: Cho, Youseung, et al.
Published: (2025)

Existence and partial regularity of suitable weak solutions to the 3D Navier-Stokes-Vlasov-Fokker-Planck equations
by: Duan, Renjun, et al.
Published: (2026)

Saint-Venant Estimates and Liouville-Type Theorems for the Stationary MHD Equation in $\mathbb{R}^3$
by: Loong, Jing, et al.
Published: (2025)

Global bounded solutions of the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow and logistic source
by: Cui, Shikun, et al.
Published: (2025)

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

Blow-up suppression for the nematic liquid crystal flow via Couette flow on $\mathbb{R}^2$
by: Chen, Yubo, et al.
Published: (2026)

New Liouville type theorems for the stationary MHD equations in $\mathbb{R}^3$
by: Tan, Wenke
Published: (2025)

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$
by: Lindberg, Sauli
Published: (2024)

Conditional Liouville theorems for the Navier-Stokes equations
by: Coiculescu, Matei P., et al.
Published: (2025)

Liouville-type theorems for Axisymmetric solutions to steady Navier-Stokes system in a layer domain
by: Han, Jingwen, et al.
Published: (2024)

Liouville-type theorem for steady helically symmetric MHD system in $\mathbb{R}^{3}$
by: Han, Jingwen
Published: (2024)

Suppression of blow-up in Patlak-Keller-Segel system coupled with linearized Navier-Stokes equations via the 3D Couette flow
by: Cui, Shikun, et al.
Published: (2024)

Liouville-type theorems, radial symmetry and integral representation of solutions to Hardy-Hénon equations involving higher order fractional Laplacians
by: Yang, Hui
Published: (2021)

Notes on Liouville-type theorems for the 3D stationary Navier-Stokes equations
by: Jiang, Hongling, et al.
Published: (2026)

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)

Liouville-type theorems for steady solutions of the barotropic Navier--Stokes system
by: Cho, Youseung, et al.
Published: (2024)

The Navier-Stokes equations in $\mathbb R^2_+$ with point vortex initial data: construction of the solution
by: Wang, Chao, et al.
Published: (2026)

Liouville type theorem for a class of quasilinear p-Laplace type equations in the half space
by: Yu, Bao, et al.
Published: (2025)

Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow
by: Cui, Shikun, et al.
Published: (2024)

Refined Liouville-Type Theorems for the Stationary Navier--Stokes Equations
by: Cho, Youseung, et al.
Published: (2026)

Analyticity in space and time for global solutions to the anisotropic Navier--Stokes equations in the critical $L^p(\mathbb{R}^3)$ framework
by: Fujii, Mikihiro, et al.
Published: (2025)

The Navier-Stokes equations in $\mathbb R^2_+$ with point vortex initial data: Zero-viscosity limit
by: Wang, Chao, et al.
Published: (2026)

Liouville theorem for elliptic equations involving the sum of the function and its gradient in $\mathbb R^n$
by: Ma, Xi-Nan, et al.
Published: (2023)

Critical mass threshold for the 2D Patlak-Keller-Segel-Navier-Stokes system
by: Wang, Wendong, et al.
Published: (2026)

Suppression of blow-up in the 3D Patlak-Keller-Segel-Navier-Stokes system via non-parallel shear flows
by: Cui, Shikun, et al.
Published: (2024)

Blow-up suppression of the Patlak-Keller-Segel-Navier-Stokes system via Taylor-Couette flow
by: Cui, Shikun, et al.
Published: (2025)

Global dynamics for the generalized chemotaxis-Navier-Stokes system in $\mathbb{R}^3$
by: He, Qingyou, et al.
Published: (2024)

Sharp non-uniqueness for the Navier-Stokes equations in R^3
by: Miao, Changxing, et al.
Published: (2024)

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

Liouville-type theorems for the new Taylor--Couette flow of the stationary Navier--Stokes equations
by: Kozono, Hideo, et al.
Published: (2023)

Smooth controllability of the Navier-Stokes equation with Navier conditions. Application to Lagrangian controllability
by: Liao, J., et al.
Published: (2020)

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

On the sharp critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow
by: Cui, Shikun, et al.
Published: (2025)

Global stability for compressible isentropic Navier-Stokes equations in 3D bounded domains with Navier-slip boundary conditions
by: Liu, Yang, et al.
Published: (2025)

Gradient estimates and Liouville theorems for Lichnerowicz-type equation on Riemannian manifolds
by: Wang, Youde, et al.
Published: (2023)