An attempt at axiomatization of extending mechanism of solutions to the fluid dynamical systems

DOI10.1007/S11401-024-0047-ZMaRDI QIDQ6655127

Meng Wang, Jinkai Li, Wendong Wang

Publication date: 20 December 2024

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsblow-up criteriainterpolation inequalities of Besov type

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

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• Regularity criterion for 3D Navier-Stokes equations in Besov spaces
• Remarks on regularities for the 3D MHD equations
• Global strong solution to the 2D nonhomogeneous incompressible MHD system
• The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\)
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Regularity results for weak solutions of the 3D MHD equations.
• Bounds and new approaches for the 3D MHD equations
• On the regularity criteria for weak solutions to the magnetohydrodynamic equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Finite time blowup for an averaged three-dimensional Navier-Stokes equation
• Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ³
• On partial regularity results for the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness

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