A regularity criterion for the 2D MHD and viscoelastic fluid equations

DOI10.4064/ap114-2-3zbMath1325.35174OpenAlexW2553666713MaRDI QIDQ5259630

Zhuan Ye

Publication date: 26 June 2015

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap114-2-3

zbMATH Keywords

regularity criterionMHD equationsviscoelastic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44)

Related Items (5)

On regularity criteria of weak solutions to the 3D viscoelastic Navier-Stokes equations with damping ⋮ An improved blow-up criterion for smooth solutions of the two-dimensional MHD equations ⋮ The 3D Boussinesq equations with regularity in one directional derivative of the pressure ⋮ Remarks on pressure regularity criterion for the 3D Boussinesq equations ⋮ A logarithmic regularity criterion for the two-dimensional MHD equations

Cites Work

• A blowup criterion for ideal viscoelastic flow
• A regularity criterion for the 2D MHD system with zero magnetic diffusivity
• Global solutions for incompressible viscoelastic fluids
• Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model
• Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
• The blowup criterion of a smooth solution to the incompressible viscoelastic flow
• Mathematical results related to a two-dimensional magneto-hydrodynamic equations
• The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions

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