Local well-posedness of perturbed Navier-Stokes system around Landau solutions

DOI10.3934/era.2021010zbMath1477.35140OpenAlexW3130363567MaRDI QIDQ2046923

Ting Zhang, Jing-Jing Zhang

Publication date: 19 August 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2021010

zbMATH Keywords

local well-posednessNavier-Stokes systemLandau solutions

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations ⋮ Asymptotic stability of Landau solutions to Navier-Stokes system under \(L^p\)-perturbations

Cites Work

• Well-posedness of nematic liquid crystal flow in \({L^3_{\mathrm{uloc}}(\mathbb R^3)}\)
• Asymptotic stability of Landau solutions to Navier-Stokes system
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• One-point singular solutions to the Navier-Stokes equations
• Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I: One singularity
• Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II: Classification of axisymmetric no-swirl solutions
• Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation
• On Landau's solutions of the Navier-Stokes equations
• A Liouville type theorem for axially symmetric \(D\)-solutions to steady Navier-Stokes equations
• Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations
• Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III: Two singularities
• \(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\)
• Forward discretely self-similar solutions of the Navier-Stokes equations
• Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
• Self-similar solutions to the Navier-Stokes equations: a survey of recent results
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Global existence of discretely self-similar solutions to the generalized MHD system in Besov space
• Lectures on Navier-Stokes Equations
• Well-posedness for the Navier-Stokes equations
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