A shear flow problem for compressible viscous micropolar fluid: Uniqueness of a generalized solution

In this paper, we consider the nonstationary shear flow of a compressible, viscous, and heat‐conducting micropolar fluid. The mathematical model is set up in Lagrangian description in the form of initial‐boundary problem with inhomogeneous boundary conditions for velocity and standard homogeneous bo...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2019-12, Vol.42 (18), p.6358-6368
1. Verfasser:	Simčić, Loredana
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Sprache:	eng
Schlagworte:	Boundary conditions Compressibility Heat flux Heat transmission Mathematical analysis micropolar fluid Micropolar fluids Shear flow uniqueness of the solution Vectors (mathematics)
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creator	Simčić, Loredana
description	In this paper, we consider the nonstationary shear flow of a compressible, viscous, and heat‐conducting micropolar fluid. The mathematical model is set up in Lagrangian description in the form of initial‐boundary problem with inhomogeneous boundary conditions for velocity and standard homogeneous boundary conditions for microrotation and heat flux. Under the assumptions that this problem has a generalized solution and that the initial mass density, temperature, the velocity, and microrotation vectors are smooth enough functions, we prove that this solution is unique.
doi_str_mv	10.1002/mma.5727
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subjects	Boundary conditions Compressibility Heat flux Heat transmission Mathematical analysis micropolar fluid Micropolar fluids Shear flow uniqueness of the solution Vectors (mathematics)
title	A shear flow problem for compressible viscous micropolar fluid: Uniqueness of a generalized solution
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