Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations
From MaRDI portal
Publication:3174254
DOI10.1002/mma.1491zbMath1222.76027OpenAlexW2131217909MaRDI QIDQ3174254
Publication date: 12 October 2011
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1491
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous-inviscid interaction (76D09)
Related Items (41)
The boundary effects and zero angular and micro-rotational viscosities limits of the micropolar fluid equations ⋮ Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation ⋮ On the large time decay of asymmetric flows in homogeneous Sobolev spaces ⋮ Global regularity for the 2D micropolar equations with fractional dissipation ⋮ The control of the boundary layer for the micropolar fluid equations with zero limits of angular and microrotational viscosities ⋮ \(H^{2}\)-boundedness of the pullback attractor of the micropolar fluid flows with infinite delays ⋮ Global regularity of the three-dimensional fractional micropolar equations ⋮ Global regularity of 2D Leray-alpha regularized incompressible magneto-micropolar equations ⋮ Vanishing micro-rotation and angular viscosities limit for the 2D micropolar equations in a bounded domain ⋮ Global existence of the strong solution to the 3D incompressible micropolar equations with fractional partial dissipation ⋮ Global regularity and decay estimates for 2D magneto-micropolar equations with partial dissipation ⋮ On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation ⋮ Global well-posedness for the 2D incompressible magneto-micropolar fluid system with partial viscosity ⋮ Stability of the 2D anisotropic micropolar Rayleigh–Bénard problem with one direction dissipation ⋮ Global regularity for the 2D magneto-micropolar equations with partial and fractional dissipation ⋮ Strong solutions for the Cauchy problem to three-dimensional nonhomogeneous incompressible micropolar fluid equations with vacuum ⋮ Time asymptotic profiles to the magneto-micropolar system ⋮ Global regularity for d-dimensional micropolar equations with fractional dissipation ⋮ Global regularity for 2D fractional magneto-micropolar equations ⋮ On the large time decay of global solutions for the micropolar dynamics in \(L^2(\mathbb{R}^n)\) ⋮ Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity ⋮ Gibbsian dynamics and ergodicity of stochastic micropolar fluid system ⋮ Decay rates for the magneto-micropolar system in \(L^2(\mathbb {R}^n)\) ⋮ Global well-posedness of two-dimensional magneto-micropolar equations with partial dissipation ⋮ Global well-posedness and large-time decay for the 2D micropolar equations ⋮ Time decay rates of the micropolar equations with zero angular viscosity ⋮ Micropolar fluid flow in a thick domain with multiscale oscillating roughness and friction boundary conditions ⋮ Global regularity for the 2D micropolar Rayleigh-Bénard convection system with the zero diffusivity ⋮ Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity ⋮ Pullback attractor for the 2D micropolar fluid flows with delay on unbounded domains ⋮ Large time behavior for two-dimensional magneto-micropolar equations with only micro-rotational dissipation and magnetic diffusion ⋮ On the well-posedness for the 2D micropolar Rayleigh-Bénard convection problem ⋮ Random attractors for 2D stochastic micropolar fluid flows on unbounded domains ⋮ Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion ⋮ Regularity criterion for a critical fractional diffusion model of two-dimensional micropolar flows ⋮ Global well-posedness for the 2D micropolar Rayleigh-Bénard convection problem without velocity dissipation ⋮ The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect ⋮ Local well-posedness for 2D incompressible magneto-micropolar boundary layer system ⋮ Pullback exponential attractors for the non-autonomous micropolar fluid flows ⋮ Global regularity results for the 2D Boussinesq equations and micropolar equations with partial dissipation ⋮ The zero limit of angular viscosity for the two-dimensional micropolar fluid equations
Cites Work
- Unnamed Item
- Unnamed Item
- A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
- Global well-posedness for the micropolar fluid system in critical Besov spaces
- Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
- On the global well-posedness for Boussinesq system
- Order of convergence estimates on the interaction term for a micropolar fluid
- Global regularity of the 2D micropolar fluid flows with zero angular viscosity
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Hydrodynamics in Besov spaces
- Long-time behavior of 2D micropolar fluid flows
- A maximum principle applied to quasi-geostrophic equations
- Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
- Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
- On existence and regularity of solutions for 2-D micropolar fluid equations with periodic boundary conditions
- UNIFORM ESTIMATES FOR TRANSPORT-DIFFUSION EQUATIONS
- Existence of global strong solution to the micropolar fluid system in a bounded domain
This page was built for publication: Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations
