Navier–Stokes Blowup Rates in Certain Besov Spaces Whose Regularity Exceeds the Critical Value by \({\boldsymbol{\epsilon \in [1,2]}}\)
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Publication:6083936
DOI10.1137/22M1520268zbMath1527.35202arXiv2203.12993MaRDI QIDQ6083936
Unnamed Author, Gabriel S. Koch
Publication date: 31 October 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.12993
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Blow-up in context of PDEs (35B44)
Cites Work
- A local smoothness criterion for solutions of the 3D Navier-Stokes equations
- Lower Bounds on Blowing-Up Solutions of the Three-Dimensional Navier--Stokes Equations in $\dot H^{3/2}$, $\dot H^{5/2}$, and $\dot B^{5/2}_{2,1}$
- Lower bounds on blow up solutions of the three-dimensional Navier–Stokes equations in homogeneous Sobolev spaces
- Fourier Analysis and Nonlinear Partial Differential Equations
- The Navier-Stokes Problem in the 21st Century
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