Global well-posedness of two-dimensional magneto-micropolar equations with partial dissipation

DOI10.1016/j.amc.2017.06.017zbMath1426.35188OpenAlexW2679239460MaRDI QIDQ1740064

Yana Guo, Haifeng Shang

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.06.017

zbMATH Keywords

global well-posednesspartial dissipation2D magneto-micropolar equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (10)

Stability and time decay rates of the 2D magneto-micropolar equations with partial dissipation ⋮ Non–uniform decay of solutions to the incompressible magneto–micropolar fluids with/without magnetic diffusion and spin viscosity ⋮ Global regularity and decay estimates for 2D magneto-micropolar equations with partial dissipation ⋮ Stability and large time decay for the three-dimensional magneto-micropolar equations with mixed partial viscosity ⋮ Large time behavior and stability for two-dimensional magneto-micropolar equations with partial dissipation ⋮ Global well‐posedness for incompressible flow in porous media with partial diffusion or fractional diffusion ⋮ Equivalence between invariant measures and statistical solutions for the 2D non‐autonomous magneto‐micropolar fluid equations ⋮ Global regularity for the 2D magnetic Bénard fluid system with mixed partial viscosity ⋮ Large time decay of solutions for the 3D magneto-micropolar equations ⋮ Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity

Cites Work

• On global regularity of 2D generalized magnetohydrodynamic equations
• Global Cauchy problem of 2D generalized MHD equations
• Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity
• Global well-posedness and large-time decay for the 2D micropolar equations
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion
• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• Global regularity of the 2D micropolar fluid flows with zero angular viscosity
• Micropolar fluids. Theory and applications
• Magneto-micropolar fluid motion: Existence of weak solutions
• Universal stability of magneto-micropolar fluid motions
• The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
• Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity
• Global regularity of 2D generalized MHD equations with magnetic diffusion
• Simple microfluids
• Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations
• Global Regularity for the 2D Magneto-Micropolar Equations with Partial Dissipation
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion
• The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
• Magneto-micropolar fluid motion: Global existence of strong solutions

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