Well-posedness for the hyperviscous magneto-micropolar equations

DOI10.1016/j.aml.2020.106403zbMath1442.35347OpenAlexW3016928198MaRDI QIDQ2186729

Chengfeng Sun, Jie Xin, Hui Liu

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106403

zbMATH Keywords

well-posednessstrong solutionmagneto-micropolar equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (11)

Pullback \(\mathcal{D}\)-attractors of the three-dimensional non-autonomous micropolar equations with damping ⋮ Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations ⋮ Uniform regularity and vanishing viscosity limit for the incompressible non-resistive magneto-micropolar equations ⋮ Asymptotic regularity for the generalized MHD‐Boussinesq equations ⋮ Influence of the hidden regularity on the stability of partially damped systems of wave equations ⋮ Well-posedness of the generalized Navier-Stokes equations with damping ⋮ Global well-posedness for \(n\)-dimensional magneto-micropolar equations with hyperdissipation ⋮ Existence of strong solutions for the generalized nonhomogeneous Navier-Stokes-Landau-Lifshitz system ⋮ Well-posedness for the generalized Navier-Stokes-Landau-Lifshitz equations ⋮ Regularity criteria for 3D generalized incompressible magneto-micropolar fluid equations ⋮ Global well-posedness for the 3D magneto-micropolar equations with fractional dissipation

Cites Work

• A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces
• Regularity of weak solutions to magneto-micropolar fluid equations
• Two regularity criteria for the 3D MHD equations
• Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space
• Generalized MHD equations.
• Inertial manifolds for the hyperviscous Navier-Stokes equations
• Global existence and decay estimate of solutions to magneto-micropolar fluid equations
• Global well-posedness of the 3D magneto-micropolar equations with damping

This page was built for publication: Well-posedness for the hyperviscous magneto-micropolar equations