Global existence of the strong solution to the 3D incompressible micropolar equations with fractional partial dissipation

DOI10.4153/s0008414x22000414zbMath1529.76028OpenAlexW4297888441WikidataQ114021616 ScholiaQ114021616MaRDI QIDQ6080107

Yujun Liu

Publication date: 30 October 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008414x22000414

zbMATH Keywords

Fourier transformuniquenessglobal well-posednessgeneralized Navier-Stokes equationsfractional Laplaciandivergence-free conditionenengy estimatemicrorotation diffusiontriple product term boundedness

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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• Existence of solutions for the 3D-micropolar fluid system with initial data in Besov-Morrey spaces
• 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 well-posedness for the micropolar fluid system in critical Besov spaces
• Regularity of weak solutions to magneto-micropolar fluid equations
• Micropolar fluid system in a space of distributions and large time behavior
• Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
• Global regularity of the 2D micropolar fluid flows with zero angular viscosity
• A note on the existence and uniqueness of solutions of the micropolar fluid equations
• Micropolar fluids. Theory and applications
• Generalized MHD equations.
• A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation
• Global regularity for the 2D micropolar equations with fractional dissipation
• The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation
• Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
• Micropolar fluid with stretch
• Vorticity and Incompressible Flow
• Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations
• On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space
• Regularity criteria of weak solutions to the three-dimensional micropolar flows
• Applied Analysis of the Navier-Stokes Equations
• The D incompressible Navier–Stokes equations with partial hyperdissipation
• Polar Fluids
• Existence of global strong solution to the micropolar fluid system in a bounded domain