Global well-posedness for \(n\)-dimensional magneto-micropolar equations with hyperdissipation

DOI10.1016/j.aml.2020.106610zbMath1451.35129OpenAlexW3037898954MaRDI QIDQ2006313

Lihua Deng, Haifeng Shang

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106610

zbMATH Keywords

global well-posednessfractional dissipationmagneto-micropolar equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Global well-posedness for the 3-D generalized MHD equations ⋮ Local existence for the d‐dimensional magneto‐micropolar equations with fractional dissipation in Besov spaces ⋮ Regularity criteria for 3D generalized incompressible magneto-micropolar fluid equations ⋮ Global well-posedness for the 3D magneto-micropolar equations with fractional dissipation

Cites Work

• Unnamed Item
• Global regularity for a class of generalized magnetohydrodynamic equations
• Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation
• Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity
• Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
• Global regularity of the 2D micropolar fluid flows with zero angular viscosity
• Micropolar fluids. Theory and applications
• Generalized MHD equations.
• Global regularity of logarithmically supercritical MHD system with improved logarithmic powers
• On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity
• Global existence and decay estimate of solutions to magneto-micropolar fluid equations
• Global regularity for the 3D micropolar equations
• Universal stability of magneto-micropolar fluid motions
• Large time decay of solutions for the 3D magneto-micropolar equations
• Global regularity of the three-dimensional fractional micropolar equations
• Well-posedness for the hyperviscous magneto-micropolar equations
• Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
• Global regularity of the logarithmically supercritical MHD system with zero diffusivity
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Global regularity for d-dimensional micropolar equations with fractional dissipation