Existence of planar non-symmetric stationary flows with large flux in an exterior disk

2022/07/25 by Mitsuo Higaki, Higaki, Mitsuo
Mathematics · Engineering · Chemical Engineering · #Navier-Stokes equation solutions #Fluid Dynamics and Turbulent Flows #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.2207.11922

Abstract

This paper is concerned with the two-dimensional stationary Navier-Stokes system in the domain exterior to the unit disk. The existence of solutions with critical decay O(|x|^-1) is established around some explicit flows with large flux. The solutions are obtained for non-symmetric external forces, and moreover, are unique in a certain class.

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