Global existence and optimal convergence rates of solutions for 3D compressible magneto-micropolar fluid equations

DOI10.1016/j.jde.2017.04.002zbMath1377.35216OpenAlexW2605734505MaRDI QIDQ2358706

Yin Li, Ruiying Wei, Bo-ling Guo

Publication date: 15 June 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.04.002

zbMATH Keywords

decay ratesglobal solutionscompressible fluidsmagneto-micropolar fluids

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (23)

Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum ⋮ Stability and time decay rates of the 2D magneto-micropolar equations with partial dissipation ⋮ Optimal decay rates for higher-order derivatives of solutions to the 3D magneto-micropolar fluid equations ⋮ The limits of coefficients of angular viscosity and microrotation viscosity to one-dimensional compressible Navier-Stokes equations for micropolar fluids model ⋮ Global classical solutions to the 3D Cauchy problem of compressible magneto-micropolar fluid equations with far field vacuum ⋮ Global well-posedness of compressible magneto-micropolar fluid equations ⋮ Global well-posedness for 2D nonhomogeneous magneto-micropolar equations with density-dependent viscosity ⋮ Stability and decay estimates of the 2D incompressible magneto-micropolar fluid system with partial viscosity on a flat Strip ⋮ Global well-posedness for the 2D incompressible magneto-micropolar fluid system with partial viscosity ⋮ Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum ⋮ Global regularity of 3D nonhomogeneous incompressible magneto-micropolar system with the density-dependent viscosity ⋮ Unnamed Item ⋮ Global existence and decay estimate of solutions to magneto-micropolar fluid equations ⋮ Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain ⋮ Unnamed Item ⋮ Large time decay of solutions for the 3D magneto-micropolar equations ⋮ The pointwise estimates of diffusion wave of the compressible micropolar fluids ⋮ Large time behavior for two-dimensional magneto-micropolar equations with only micro-rotational dissipation and magnetic diffusion ⋮ Pointwise space-time estimates of non-isentropic compressible micropolar fluids ⋮ The global well-posedness for the 3-D compressible micropolar system in the critical Besov space ⋮ Global existence and asymptotic behavior for the 3D compressible magneto-micropolar fluids in a bounded domain ⋮ UNIFORM REGULARITY FOR THE ISENTROPIC COMPRESSIBLE MAGNETO-MICROPOLAR SYSTEM ⋮ Global low-energy weak solutions of the compressible magneto-micropolar fluids in the half-space

Cites Work

• Unnamed Item
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• Optimal time decay of the compressible micropolar fluids
• Unique solvability of compressible micropolar viscous fluids
• Decay of the Navier-Stokes-Poisson equations
• Global well-posedness and large-time decay for the 2D micropolar equations
• A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces
• Global existence and optimal decay rate for the strong solutions in \(H^{2}\) to the compressible Navier-Stokes equations
• Regularity of weak solutions to magneto-micropolar fluid equations
• Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
• Decay of the compressible magnetohydrodynamic equations
• Global variational solutions to the compressible magnetohydrodynamic equations
• Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
• Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space
• Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations
• Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
• Strong solution to the compressible magnetohydrodynamic equations with vacuum
• Weak solutions to the equations of motion for compressible magnetic fluids
• Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
• Optimal decay rates of the compressible magnetohydrodynamic equations
• Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum
• Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
• Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations
• Global Strong Solutions for the Viscous, Micropolar, Compressible Flow
• Non-homogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: a global existence theorem
• Global existence of small solutions to a class of nonlinear evolution equations
• Smooth global solutions for two-dimensional equations of electro-magneto-fluid dynamics
• On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• On the decay of higher-order norms of the solutions of Navier–Stokes equations
• Decay of Dissipative Equations and Negative Sobolev Spaces
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
• A general theoretical model for the magnetohydrodynamic flow of micropolar magnetic fluids. Application to Stokes flow
• Magneto-micropolar fluid motion: Global existence of strong solutions
• On the existence of globally defined weak solutions to the Navier-Stokes equations

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