Rapidly convergent series for solving the electrovortex flow problem in a hemispherical vessel

DOI10.1134/S0965542522070065zbMath1504.35237OpenAlexW4300024104MaRDI QIDQ2169004

I. O. Teplyakov, E. A. Mikhailov, K. Yu. Malyshev

Publication date: 29 August 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522070065

zbMATH Keywords

rapidly convergent seriesNavier-Stokes equationspecial functionsStokes approximationincomplete Galerkin methodWeyl's lemmaelectrovortex flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) Viscous vortex flows (76D17) Axially symmetric solutions to PDEs (35B07)

Cites Work

• Asymptotics of the uniform norm of associated Legendre functions \(P_n^k\) , when \(k \ll n\)
• Global solutions of the Navier-Stokes equations in a uniformly rotating space
• Dirichlet problem for the Stokes equation
• Magnetohydrodynamic flow due to the discharge of an electric current in a hemispherical container
• Magnetohydrodynamic flow in a container due to the discharge of an electric current from a finite size electrode
• Motion of a body with a cavity filled with a viscous fluid at large Reynolds numbers
• Motion of a rigid body with cavities filled with viscous fluid at small Reynolds numbers
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