Glasnik matematički, Vol. 46 No. 1, 2011.
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
Publication date:
13.6.2011.
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