Helical symmetric solution of 3d Navier-Stokes equations arising from geometric shape of the boundary

DOI10.1016/S0252-9602(18)30801-4zbMath1438.35309OpenAlexW2800019786MaRDI QIDQ2313128

Yanyan Li

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30801-4

zbMATH Keywords

Navier-Stokes equationshelicoidal surfacerotating helical flow

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

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• Planar limits of three-dimensional incompressible flows with helical symmetry
• On a new 3D model for incompressible Euler and Navier-Stokes equations
• Invariant helical subspaces for the Navier-Stokes equations
• Regularite des solutions de certains problems aux limites Lineaires lies aux equations d'euler
• Navier-Stokes solutions of laminar flows based on orthogonal helical co-ordinates
• Global Existence and Uniqueness of Weak Solutions of Three-Dimensional Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems

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