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Periodic in time flow in thin structure: equation on the graph
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.jmaa.2020.124335
Grigory Panasenko , Konstantin Pileckas

Abstract The dimension reduction for the non-stationary time periodic Navier-Stokes equations in thin structures leads to a non-local in time Reynolds' type equation on the graph with Kirchhoff type junction conditions in the vertices. The existence and uniqueness of a solution to this problem is proved.

中文翻译:

薄结构中的周期性时间流:图上的方程

摘要 薄结构中非平稳时间周期Navier-Stokes方程的降维导致图上的非局部时间雷诺型方程在顶点处具有基尔霍夫型连接条件。证明了该问题解的存在性和唯一性。
更新日期:2020-10-01
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