Original scientific paper

https://doi.org/10.3336/gm.46.1.16

The Cauchy problem for one-dimensional flow of a compressible viscous fluid: stabilization of the solution

Nermina Mujaković ; Department of Mathematics, University of Rijeka, Omladinska 14, 51 000 Rijeka, Croatia
Ivan Dražić orcid.org/0000-0002-1463-996X ; Faculty of Engineering, University of Rijeka, Vukovarska 58, 51 000 Rijeka, Croatia

Abstract

We analyze the Cauchy problem for non-stationary 1-D flow of a compressible viscous and heat-conducting fluid, assuming that it is in the thermodynamical sense perfect and polytropic. This problem has a unique generalized solution on R × ]0,T[ for each T>0. Supposing that the initial functions are small perturbations of the constants and using some a priori estimates for the solution independent of T, we prove a stabilization of the solution.

Keywords

Compressible viscous fluid; the Cauchy problem; stabilization

Hrčak ID:

68898

URI

https://hrcak.srce.hr/68898

Publication date:

13.6.2011.

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