Incompressible limit of a compressible micropolar fluid model with general initial data

Large‐time behavior of solutions to the 3‐D flow of a compressible viscous micropolar fluid with cylindrical symmetry

“…For the cylindrically symmetric model of described micropolar fluid in a bounded annular domain, Dražić et al established the local existence of generalized solutions, then they proved the uniqueness and global existence in Dražić and Dražić et al, but, until now, the asymptotic behavior of the cylindrically symmetric solutions has not been discussed. Some authors have also analyzed the properties of general three‐dimensional model for described flow (see Su and the references given there). We would also like to refer the reader to the results in previous studies() that focus on large‐time behavior of the solutions to the compressible Navier‐Stokes equations in the three‐dimensional case.…”

Inviscid incompressible limits for rotating fluids

“…In the last years, the study of the low Mach number and/or inviscid regime for compressible fluids has been of large interest for many authors (see [23] and references therein). However, in the context of micro-polar compressible fluids very few results are present (see [35], [36], [37]). Indeed, as far as the author is aware, the weak-weak convergence in the low Mach number limit for the compressible (barotropic) micro-polar fluid in the whole space with ill-prepared initial data has not been analyzed before.…”

“…The following result concerns the existence of a global weak solution to the compressible micro-polar system (1.1) -(1.3) (see [35], Proposition 2.2; see also [1]). Proposition 1.…”

Three-dimensional flow of a compressible viscous micropolar fluid with cylindrical symmetry: a global existence theorem

“…For recent progress in the analysis of incompressible micropolar flows, we refer to and , as well as the references cited herein. For the progress in general theory of compressible micropolar flows, refer to . It is important to note, that lately, the flow of magneto‐micropolar fluids is increasingly being explored.…”