On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions
type: Item
instance of: scholarly article
title: On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions
zbMATH Open document ID: 1482.76012
author: Michal Beneš
author: Igor Pažanin
author: Marko Radulović
published in: Nonlinear Analysis. Real World Applications
publication date: 2021-12-15T00:00:00Z
review text: The authors study a system of equations for the dynamics of micropolar fluids in two-dimensional domains with physically reasonable mixed boundary conditions. The existence of weak solutions is proved in fractional-order Sobolev spaces.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 76A99
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7446138
zbMATH Keywords: micropolar fluid
zbMATH Keywords: Navier-Neumann mixed boundary conditions
zbMATH Keywords: local-in-time weak solution
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: energy estimate
zbMATH Keywords: fractional-order Sobolev space
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2021.103424
OpenAlex ID: W3198016405
cites work: Micropolar fluids. Theory and applications
cites work: Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions
cites work: On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries
cites work: On The Interface Boundary Condition of Beavers, Joseph, and Saffman
cites work: On the roughness-induced effective boundary conditions for an incompressible viscous flow
cites work: Semi-group theory for the Stokes operator with Navier-type boundary conditions on \(L^{p}\)-spaces
cites work: Q4893762
cites work: Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions
cites work: Regularity of solutions to a non homogeneous boundary value problem for general Stokes systems in \(\mathbb R^n_+\)
cites work: Navier-Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary
cites work: On the Navier-Stokes equation with boundary conditions based on vorticity
cites work: On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions
cites work: On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions
cites work: Q4580407
cites work: Leray's problem for the nonstationary micropolar fluid flow
cites work: Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe
cites work: ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE
cites work: Asymptotic solution for a micropolar flow in a curvilinear channel
cites work: NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION
cites work: Wall slip induced by a micropolar fluid
cites work: On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
cites work: ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
cites work: Q4306844
cites work: A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions.
cites work: Basic properties of solution of the non-steady Navier-Stokes equations with mixed boundary conditions in a bounded domain
cites work: Local solutions to the Navier-Stokes equations with mixed boundary conditions
cites work: Solutions of the Navier-Stokes equations with various types of boundary conditions
cites work: Lp estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains
cites work: Q4763376
cites work: Q3470840
cites work: Q5628582
cites work: Q5318420
cites work: Direct Methods in the Theory of Elliptic Equations
cites work: Local existence of general nonlinear parabolic systems
cites work: Nonlinear partial differential equations with applications
cites work: Q3861771
DOI: 10.1016/J.NONRWA.2021.103424
Recommended article: Q4272149
Recommended article: The equations of viscous incompressible non-homogeneous fluids: on the existence and regularity
Recommended article: On non-stationary flows of incompressible asymmetric fluids
Recommended article: Equations of Motion for Incompressible Viscous Fluids
Recommended article: The equations of viscous incompressible nonhomogeneous fluids in non- cylindrical domains: On the existence and regularity
Recommended article: Q4876007
Recommended article: A VISCOUS-INVISCID COUPLING UNDER MIXED BOUNDARY CONDITIONS
Recommended article: Viscous incompressible flow in unbounded domains
Recommended article: On the construction of regularized equations of motion for a mixture of viscous incompressible fluids
Recommended article: Q3153307
description: scientific article; zbMATH DE number 7446138