Mathematical modeling of junctions in fluid mechanics via two-scale convergence

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:480

Article

Marusic-Paloka, Eduard¹ 

[1] Univ Zagreb, Fac Sci & Math, Dept Math, Bijenicka 30, Zagreb 10000, Croatia

关键词: Two-scale convergence;    Junction;    Navier-Stokes system;    Boundary value problem;    Asymptotic analysis;   

DOI  :  10.1016/j.jmaa.2019.123399

来源: Elsevier

【 摘 要 】

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 condition. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free