Mathematical modeling of junctions in fluid mechanics via two-scale convergence (CROSBI ID 267948)
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Podaci o odgovornosti
Marušić-Paloka, Eduard
engleski
Mathematical modeling of junctions in fluid mechanics via two-scale convergence
We derive the effective models for describing the behavior of the fluid in 1D- 1D junctions (pipes) and 2D-2D junctions. Starting from the Navier-Stokes system in thin domain and using the two-scale convergence, we justify the two-scale model describing the flow through a junction. Finally, separating the variables in the two-scale model, we obtain the effective junction condi- tion.
two-scale convergence ; junction ; Navier-Stokes system ; boundary value problem ; asymptotic analysis
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Podaci o izdanju
480 (1)
2019.
123399
32
objavljeno
0022-247X
1096-0813
10.1016/j.jmaa.2019.123399