3‐D flow of a compressible viscous micropolar fluid with cylindrical symmetry: uniqueness of a generalized solution. (29th September 2016)

• Record Type: Journal Article
• Authors: Mujaković, Nermina; Simčić, Loredana; Dražić, Ivan
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 7(2017)
• Page Start: 2686
• Page End: 2701
• Publication Date: 2016-09-29
• Subjects: micropolar fluid -- cylindrical symmetry -- uniqueness of the solution; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4191
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we consider a nonstationary 3‐D flow of a compressible viscous and heat‐conducting micropolar fluid, which is in the thermodynamical sense perfect and polytropic. The fluid domain is a subset ofR 3 bounded with two coaxial cylinders that present solid thermoinsulated walls. The mathematical model is set up in Lagrangian description. If we assume that the initial mass density, temperature, as well as the velocity and microrotation vectors are smooth enough cylindrically symmetric functions, then our problem has a generalized cylindrically symmetric solution for a sufficiently small time interval. Here, we prove the uniqueness of this solution. Copyright © 2016 John Wiley & Sons, Ltd.