The equations of non‐homogeneous asymmetric fluids: an iterative approach

Abstract

SUMMARYWe study the existence and uniqueness of strong solutions for the equations of non-homogeneous asymmetric uids. We use an iterative approach and we prove that the approximate solutions constructed by this method converge to the strong solution of these equations. We also give bounds for the rate of convergence.

Analysis of an iterative method for variable density incompressible fluids

“…Our aim is to establish convergence rates of this iterative procedure in several norms. The rates derived here improve some rates derived in Conca et al [8] by an exponent of 1 2 . We organize the work as follows: In Sect.…”

A Classical Blow up Criterion to Cauchy Problem for the Micropolar Fluid Flows

“…[15] . Chen and Price[4] , Roaas-Medar et al[2,3,13,14] investigated the local existence and uniqueness of strong solutions to the micropolar flows (or magneto-micropolar flows) by some different methods. If further, letting 𝜔 = 0 and 𝜒 = 0, the magneto-micropolar fluids equations reduce to the classical Navier--Stokes equations [7,10].…”

A priori estimates for the system modelling nonhomogeneous asymmetric fluids

“…Scope. The well known micropolar fluids or also called asymmetric fluids are a widely class of fluids which are relevant in many industrial applications and in several areas of science, see for instance [3,5,6,8,9,11,30,31,34,38]. Consequently, there is several mathematical models to describe the phenomenon.…”