The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect

DOI10.1007/s00033-013-0345-xzbMath1300.35091OpenAlexW2041274651MaRDI QIDQ743549

Mingtao Chen, Xin Ying Xu, Jian-Wen Zhang

Publication date: 25 September 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0345-x

zbMATH Keywords

convergence ratesboundary effectglobal solutionvanishing viscosity limitincompressible micropolar fluid

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Viscous-inviscid interaction (76D09) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (15)

The boundary effects and zero angular and micro-rotational viscosities limits of the micropolar fluid equations ⋮ Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids. ⋮ The vanishing diffusivity limit for the 2-D Boussinesq equations with boundary effect ⋮ The control of the boundary layer for the micropolar fluid equations with zero limits of angular and microrotational viscosities ⋮ Low Mach number limit of a compressible micropolar fluid model ⋮ Vanishing micro-rotation and angular viscosities limit for the 2D micropolar equations in a bounded domain ⋮ Global regularity of 3D nonhomogeneous incompressible micropolar fluids ⋮ Vanishing viscosity limit for the 3D incompressible micropolar equations in a bounded domain ⋮ Global well-posedness to the Cauchy problem of 2D density-dependent micropolar equations with large initial data and vacuum ⋮ Incompressible limit of a compressible micropolar fluid model with general initial data ⋮ Global regularity for d-dimensional micropolar equations with fractional dissipation ⋮ Global existence and low Mach number limit to a 3D compressible micropolar fluids model in a bounded domain ⋮ A blow-up criterion of strong solutions to two-dimensional nonhomogeneous micropolar fluid equations with vacuum ⋮ Unnamed Item ⋮ The zero limit of angular viscosity for the two-dimensional micropolar fluid equations

Cites Work

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• Global well-posedness for the micropolar fluid system in critical Besov spaces
• Boundary layers in parabolic perturbations of scalar conservation laws
• Global regularity of the 2D micropolar fluid flows with zero angular viscosity
• Micropolar fluids. Theory and applications
• Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations
• On existence and regularity of solutions for 2-D micropolar fluid equations with periodic boundary conditions
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations
• Existence of global strong solution to the micropolar fluid system in a bounded domain

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