engleski

Approximate solution for 1-D compressible viscous micropolar fluid model in dependance of initial conditions

We consider a model for nonstationary 1-D flow of a compressible viscous heat-conducting micropolar fluid which is thermodynamically perfect and polytropic. A corresponding initial-boundary value problem has a unique strong solution on ]0, 1[×]0, T[, for each T > 0 and for sufciently small T this solution is a limit of approximate solutions which we get by the Faedo-Galerkin method. Using the initial functions in the form of Fourier expansions we analyze the numerical approximate solutions in dependance of number of terms in Fourier series.

micropolar fluid; strong solution; numerical solution.

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