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Mathematical modeling of junctions in fluid mechanics via two-scale convergence (CROSBI ID 267948)

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Marušić-Paloka, Eduard Mathematical modeling of junctions in fluid mechanics via two-scale convergence // Journal of mathematical analysis and applications, 480 (2019), 1; 123399, 32. doi: 10.1016/j.jmaa.2019.123399

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

Povezanost rada

Matematika

Poveznice
Indeksiranost