Regularity for 3-D MHD Equations in Lorentz Space $L^{3,∞}$

DOI10.4208/cmr.2021-0048zbMath1524.35467OpenAlexW4306382503MaRDI QIDQ6097568

Yueli Liu, Xian-Gao Liu, Zixuan Liu

Publication date: 6 June 2023

Published in: Communications in Mathematical Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cmr.2021-0048

zbMATH Keywords

Lorentz spaceMHD equationsbackward uniqueness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Cites Work

• Unnamed Item
• Unnamed Item
• Limiting case for the regularity criterion to the 3-D magneto-hydrodynamics equations
• On the interior regularity of weak solutions of the Navier-Stokes equations
• The Navier-Stokes equations in nonendpoint borderline Lorentz spaces
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• On the Stokes problem in Lipschitz domains
• Regularity results for weak solutions of the 3D MHD equations.
• On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary
• On the local regularity of suitable weak solutions to the generalized Navier-Stokes equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• REGULARITY OF WEAK SOLUTIONS FOR THE NAVIER–STOKES EQUATIONS IN THE CLASS L^∞(BMO^-1)
• Some mathematical questions related to the mhd equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet