Quantitative control of solutions to the axisymmetric Navier-Stokes equations in terms of the weak \(L^3\) norm
DOI10.1007/s40818-023-00156-7zbMath1529.35340arXiv2210.10030OpenAlexW4385737936MaRDI QIDQ6054299
Wojciech S. Ożański, Stan Palasek
Publication date: 28 September 2023
Published in: Annals of PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.10030
Navier-Stokes equationscritical spacesaxisymmetryquantitative regularitytype I blow-upweak \(L^3\) space
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35) Axially symmetric solutions to PDEs (35B07)
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Cites Work
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- Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical condition
- Regularity of 3D axisymmetric Navier-Stokes equations
- Liouville theorems for the Navier-Stokes equations and applications
- A Liouville theorem for the axially-symmetric Navier-Stokes equations
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- A solution to the Navier-Stokes inequality with an internal singularity
- Nearly one dimensional singularities of solutions to the Navier-Stokes inequality
- Best constant in Sobolev inequality
- On Leray's self-similar solutions of the Navier-Stokes equations satisfying local energy estimates
- On Leray's self-similar solutions of the Navier-Stokes equations
- Quantitative regularity for the Navier-Stokes equations via spatial concentration
- A minimum critical blowup rate for the high-dimensional Navier-Stokes equations
- A note on local regularity of axisymmetric solutions to the Navier-Stokes equations
- Local regularity of axisymmetric solutions to the Navier-Stokes equations
- Quantitative transfer of regularity of the incompressible Navier-Stokes equations from \(\mathbb{R}^3\) to the case of a bounded domain
- Navier-Stokes equations and area of interfaces
- Weak solutions to the Navier-Stokes inequality with arbitrary energy profiles
- Criticality of the axially symmetric Navier-Stokes equations
- Un teorema di unicita per le equazioni di Navier-Stokes
- Improved quantitative regularity for the Navier-Stokes equations in a scale of critical spaces
- Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
- A Note on Necessary Conditions for Blow-up of Energy Solutions to the Navier-Stokes Equations
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- The Three-Dimensional Navier–Stokes Equations
- Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations
- Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II
- Leray’s fundamental work on the Navier–Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace”
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness
- Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier–Stokes Equation
- Remarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equations
- The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness
- Quantitative bounds for critically bounded solutions to the Navier-Stokes equations
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