Cover Image

A Classical Two-Part First-Threshold Proof of Global Smoothness for Navier--Stokes: Axisymmetric Swirl Closure and Full-System Reduction

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Shahmurov, Rishad
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Large-Data Global Regularity for Three-Dimensional Navier--Stokes I: A Direct First-Threshold Continuation Proof for the Axisymmetric Swirl Class
by: Shahmurov, Rishad
Published: (2026)

Axisymmetric Navier--Stokes with Swirl:\ Final Master Manuscript for the Unconditional Global Existence Program
by: Shahmurov, Rishad
Published: (2026)

Large-Data Global Regularity for Three-Dimensional Navier--Stokes II: A Direct First-Threshold Continuation Proof for the Full System
by: Shahmurov, Rishad
Published: (2026)

Euler Singularities I: Boundary Blow-Up for Smooth Exact-Odd Axisymmetric Euler with Swirl
by: Shahmurov, Rishad
Published: (2026)

Euler Singularities II: Interior Quadrupole Blow-Up for Smooth Axisymmetric Euler with Swirl in \texorpdfstring{$\mathbb R^3$}
by: Shahmurov, Rishad
Published: (2026)

Stable Finite-Time Singularity Formation for 3D Navier--Stokes via 5D-Lifted Axisymmetric Reductions
by: Shahmurov, Rishad
Published: (2026)

Nonlocal Hyperdissipative Perturbations of the Three Dimensional Navier-Stokes System
by: Shahmurov, Veli, et al.
Published: (2026)

Unconditional Axis-Regularity in the 5D Corridor
by: Shahmurov, Rishad
Published: (2026)

On the Lifespan of Axisymmetric Hall-MHD with Swirl
by: Wu, Zhipeng, et al.
Published: (2026)

Axisymmetric steady Navier-Stokes flows under suction
by: Higaki, Mitsuo
Published: (2024)

Note on the Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl
by: Cao, Daomin, et al.
Published: (2025)

Global Regularity of Axisymmetric Navier-Stokes Equations with NHL Boundary Conditions under a Critical Smallness Condition
by: Chan, Tsz-Lik
Published: (2026)

Global Strong Solutions to the Three-Dimensional Axisymmetric Compressible Navier-Stokes Equations with Large Initial Data and Vacuum
by: Lei, Qinghao
Published: (2025)

Axisymmetric weak solutions to stationary compressible Navier-Stokes equations with critical indices
by: Fan, Xinyu, et al.
Published: (2023)

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

Global Existence and Incompressible Limit for the Three-Dimensional Axisymmetric Compressible Navier-Stokes Equations with Large Bulk Viscosity and Large Initial Data
by: Lei, Qinghao
Published: (2025)

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

Smooth Solutions of the Navier-Stokes Equation
by: Glimm, James, et al.
Published: (2025)

On the Existence and Smoothness of the Navier-Stokes Equation I
by: Campos, Brian David Vasquez
Published: (2024)

Global Classical Solutions to 3D Compressible Navier-Stokes System with Vacuum in Bounded Domains under Non-Slip Boundary Conditions
by: Fan, Xinyu, et al.
Published: (2021)

Non-Uniqueness of Smooth Solutions of the Navier-Stokes Equations from Critical Data
by: Coiculescu, Matei P., et al.
Published: (2025)

Liouville Theorems Above the Critical $9/2$ Threshold for Stationary Navier-Stokes Equations
by: Vergara-Hermosilla, Gaston
Published: (2026)

The Pressureless Euler-Navier-Stokes System
by: Lemarié, Valentin
Published: (2025)

Global Well-Posedness of Classical Solutions to the Multi-Dimensional Degenerate Compressible Navier-Stokes Equations with Large Spherically Symmetric Initial Data
by: Lei, Qinghao
Published: (2026)

Global Existence and Asymptotic Behavior of Large Strong Solutions to the 3D Full Compressible Navier-Stokes Equations with Density-dependent Viscosities
by: Li, Yachun, et al.
Published: (2024)

Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density
by: Hao, Tiantian, et al.
Published: (2024)

Global unique solutions to the planar inhomogeneous Navier--Stokes--Maxwell equations
by: Arsénio, Diogo, et al.
Published: (2024)

On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System
by: Han-Kwan, D, et al.
Published: (2025)

Time-Global Regularity of the Navier-Stokes System with Hyper-Dissipation--Turbulent Scenario
by: Grujic, Zoran, et al.
Published: (2020)

Global nonlinear stability of vortex sheets for the Navier-Stokes equations with large data
by: Yuan, Qian, et al.
Published: (2025)

Global Well-Posedness of Contact Lines: 2D Navier-Stokes Flow
by: Guo, Yan, et al.
Published: (2024)

Global well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system
by: Hao, Tiantian, et al.
Published: (2024)

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

Global strong solutions to the compressible Navier--Stokes--Coriolis system for large data
by: Fujii, Mikihiro, et al.
Published: (2024)

Global existence of large solutions to 3-D incompressible Navier-Stokes system
by: Ru, Shaolei
Published: (2024)

High Order Smoothness for Stochastic Navier-Stokes Equations with Transport and Stretching Noise on Bounded Domains
by: Goodair, Daniel
Published: (2024)

Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization
by: Niu, Binqian, et al.
Published: (2024)

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

Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
by: Arsénio, Diogo, et al.
Published: (2023)

Global Existence and Incompressible Limit for the Two-Dimensional Compressible Navier-Stokes Equations in a Half-Space with Large Initial Data and Vacuum
by: Lei, Qinghao, et al.
Published: (2026)