Global existence and exponential decay of strong solutions of nonhomogeneous magneto-micropolar fluid equations with large initial data and vacuum

DOI10.1007/S00021-020-00498-3zbMath1440.35283OpenAlexW3033293382WikidataQ115609518 ScholiaQ115609518MaRDI QIDQ2185944

Xin Zhong

Publication date: 8 June 2020

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-020-00498-3

zbMATH Keywords

global strong solutionexponential decaylarge initial datanonhomogeneous magneto-micropolar fluid equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

Related Items (2)

Global well-posedness for 2D nonhomogeneous magneto-micropolar equations with density-dependent viscosity ⋮ Singularity formation to the nonhomogeneous magneto-micropolar fluid equations

Cites Work

• Unnamed Item
• Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion
• Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space
• Micropolar fluids. Theory and applications
• Regularity results for two-dimensional flows of multiphase viscous fluids
• Elliptic partial differential equations of second order
• On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum
• On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity
• Global existence and decay estimate of solutions to magneto-micropolar fluid equations
• Universal stability of magneto-micropolar fluid motions
• Large time decay of solutions for the 3D magneto-micropolar equations
• Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity
• Global regularity of 3D nonhomogeneous incompressible magneto-micropolar system with the density-dependent viscosity
• Global regularity and decay estimates for 2D magneto-micropolar equations with partial dissipation
• Exponential stability for magneto-micropolar fluids
• Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
• Variational Methods
• Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density

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