Spherically symmetric threedimensional non-stationary flow of a micropolar compressible viscous fluid

Dražić, Ivan (2014) Spherically symmetric threedimensional non-stationary flow of a micropolar compressible viscous fluid. Doctoral thesis, Faculty of Science > Department of Mathematics.

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Abstract

The subject of the thesis is spherically symmetric three dimensional model of the compressible viscous isotropic and heat-conducting micropolar fluid that is in thermodynamical sense perfect and polytropic. In the first part of the thesis based on constitutive equations for described fluid as well as the balance laws we derive mathematical model of the fluid flow in Eulerian description for the flow between two concentric spherical thermoinsulated solid walls in three dimensional Euclidean space. Using the assumptions of spherical symmetry we derive initial-boundary problem with two variables in Lagrangian description with homogeneous boundary conditions for velocity, microrotation and heat flux for sufficiently smooth initial functions. In the second part of the work using the Faedo-Galerkin method we prove the existence of the generalized solution of described initial-boundary problem locally in time. In the next part of the work we prove the uniqueness of the generalized solution, and in the final part there is the proof of the existence of the solution for each finite time.

Item Type: Thesis (Doctoral thesis)
Supervisor: Mujaković, Nermina and Tutek, Zvonimir
Date: 2014
Number of Pages: 109
Subjects: NATURAL SCIENCES > Mathematics > Applied Mathematics and Mathematic Modeling
NATURAL SCIENCES > Mathematics > Other Mathematical Disciplines
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 28 Apr 2015 07:40
Last Modified: 08 May 2015 09:38
URI: http://digre.pmf.unizg.hr/id/eprint/3878

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