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Uniqueness of generalized solution to micropolar viscous real gas flow with homogeneous boundary conditions
Author(s) -
BašićŠiško Angela,
Dražić Ivan
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7032
Subject(s) - mathematics , uniqueness , lagrangian and eulerian specification of the flow field , mathematical analysis , partial differential equation , boundary value problem , homogeneous , flow (mathematics) , displacement (psychology) , lagrangian , geometry , psychology , combinatorics , eulerian path , psychotherapist
We study a one‐dimensional model of viscous and heat‐conducting micropolar real gas flow through the channel with solid and thermally insulated walls, whereby the generalized equation of state for the pressure is considered. The governing system of partial differential equations for mass density, velocity, microrotational velocity, and absolute temperature is set up in Lagrangian coordinates. In this paper, we show that if there exists a generalized solution to our problem, then it is unique.