engleski

Global solution to a one-dimensional model of viscous and heat-conducting micropolar real gas flow

We study the global solvability of the initial- boundary value problem which describes a one- dimensional flow of viscous, heat-conducting, and thermodynamically polytropic micropolar real gas through the channel with solid and thermally insulated walls. We first obtain a series of time-independent a priori estimates for the generalized solution of the described problem. Using the extension principle and already obtained local existence theorem, we show that this problem has a solution globally in time, i.e., that for every $T \in \mathbf {; ; ; R}; ; ; ^+$, there exists a solution to the problem in the time domain $[0, T]$.

micropolar fluid ; real gas flow ; global solution

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