3-D flow of a compressible viscous micropolar fluid with cylindrical symmetry: uniqueness of a generalized solution

2016 ◽  
Vol 40 (7) ◽  
pp. 2686-2701 ◽  
Author(s):  
Nermina Mujaković ◽  
Loredana Simčić ◽  
Ivan Dražić
Keyword(s):  
Micropolar Fluid ◽  
Generalized Solution ◽  
Cylindrical Symmetry

3-D flow of a compressible viscous micropolar fluid model with spherical symmetry: A brief survey and recent progress

2018 ◽  
Vol 30 (01) ◽  
pp. 1830001 ◽  
Author(s):  
Ivan Dražić
Keyword(s):  
Spherical Symmetry ◽  
Micropolar Fluid ◽  
Boundary Data ◽  
Fluid Model ◽  
Initial Density ◽  
Initial Boundary ◽  
Generalized Solution ◽  
Heat Conducting ◽  
Initial Boundary Problem ◽  
Concentric Spheres

We consider the non-stationary 3-D flow of a compressible viscous and heat-conducting micropolar fluid with the assumption of spherical symmetry. We analyze the flow between two concentric spheres that present solid thermo-insulated walls. The fluid is perfect and polytropic in the thermodynamical sense and the initial density and temperature are strictly positive. The corresponding problem has homogeneous boundary data. In this work, we present the described model and provide a brief overview of the progress in the mathematical analysis of the associated initial-boundary problem. We consider existence and uniqueness of the generalized solution, asymptotic behavior of the solution and regularity of the solution.

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