IJPAM: Volume 42, No. 4 (2008)

APPROXIMATE SOLUTION FOR 1-D COMPRESSIBLE
VISCOUS MICROPOLAR FLUID MODEL IN
DEPENDENCE OF INITIAL CONDITIONS

Ivan Drazic$^1$, Nermina Mujakovic$^2$
$^1$Department of Applied Mathematics
Faculty of Engineering
University of Rijeka
Vukovarska 58, Rijeka, 51000, CROATIA
e-mail: idrazic@riteh.hr
$^2$Department of Mathematics
Faculty of Philosophy
University of Rijeka
Omladinska 14, Rijeka, 51000, CROATIA
e-mail: mujakovic@inet.hr


Abstract.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 $]0,1[\times]0,T[$, for each $T>0$ and for sufficiently small $T$ this solution is a limit of approximate solutions which we get by implementing the Faedo-Galerkin method. Using the initial functions in the form of Fourier expansions we analyze the numerical approximate solutions in dependence of number of terms in Fourier series.

Received: August 17, 2007

AMS Subject Classification: 35K55, 35Q35, 76N99, 42A16, 65M99

Key Words and Phrases: micropolar fluid, strong solution, numerical solution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4