On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces. II: The non-slip boundary value problem
DOI10.1007/s11401-022-0303-zzbMath1487.35281OpenAlexW4225482696MaRDI QIDQ2133968
Jiaqi Yang, Hugo Beirão da Veiga
Publication date: 5 May 2022
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-022-0303-z
Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Cites Work
- A remark on the regularity of weak solutions to the Navier-Stokes equations in terms of the pressure in Lorentz spaces
- On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces
- Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equation
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain
- A sufficient condition on the pressure for the regularity of weak solutions to the Navier-Stokes equations
- A regularity class for the Navier-Stokes equations in Lorentz spaces
- On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary
- On the truth, and limits, of a full equivalence \(p \cong v^2\) in the regularity theory of the Navier-Stokes equations: A point of view
- On a theorem by Sohr for the Navier-Stokes equations
- Regularity criteria of weak solutions in terms of the pressure in Lorentz spaces to the Navier-Stokes equations
- Concerning the regularity of the solutions to the Navier-Stokes equations via the truncation method; Part I
- \(\varepsilon\)-regularity criteria for the 3D Navier-Stokes equations in Lorentz spaces
- New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations
- Un teorema di unicita per le equazioni di Navier-Stokes
- Convolution operators and L(p, q) spaces
- Classical Fourier Analysis
- Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness
- Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations
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