Pressure, intermittency, singularity

DOI10.1007/s00021-023-00779-7zbMath1516.35303arXiv2301.04489OpenAlexW4362701152MaRDI QIDQ6101922

Peter Constantin

Publication date: 5 May 2023

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.04489

zbMATH Keywords

regularityNavier-Stokes equationspressuresingularitystrong solutionstructure functionintermittencyLadyzhenskaya-Prodi-Serrin conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• Some remarks on the \(L^p\) regularity of second derivatives of solutions to non-divergence elliptic equations and the Dini condition
• Navier-Stokes equations and area of interfaces
• Local formulae for the hydrodynamic pressure and applications
• Lecture Notes on Regularity Theory for the Navier-Stokes Equations
• Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations
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