The Cauchy problem for one-dimensional flow of a compressible viscous fluid: Stabilization of the solution (CROSBI ID 159210)
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Mujaković, Nermina ; Dražić, Ivan
engleski
The Cauchy problem for one-dimensional flow of a compressible viscous fluid: Stabilization of the solution
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 Rx]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.
compressible viscous fluid; the Cauchy problem; stabilization
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