The Framework ofk-Harmonically Analytic Functions for Three-Dimensional Stokes Flow Problems, Part I

DOI10.1137/080715913zbMath1177.35158OpenAlexW2068142662MaRDI QIDQ3631947

Michael Zabarankin

Publication date: 22 June 2009

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080715913

zbMATH Keywords

integral equationexact solutionStokes flowsgeneralized analytic functionsgeneralized Cauchy's integral formula

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Stokes and related (Oseen, etc.) flows (76D07) Integral representations of solutions to PDEs (35C15) Navier-Stokes equations (35Q30) Riemann-Hilbert problems in context of PDEs (35Q15) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (11)

Generalized analytic functions in magnetohydrodynamics ⋮ Minimum-drag shapes in magnetohydrodynamics ⋮ Liquid toroidal drop under uniform electric field ⋮ Fundamental solutions of the Stokes system in quaternion analysis ⋮ On solving systems of autonomous ordinary differential equations by reduction to a variable of an algebra ⋮ Inverse Problem for Drop Deformation in Nonlinear Electrohydrodynamics ⋮ Viscous drop in compressional Stokes flow ⋮ Quaternionic functions and their applications in a viscous fluid flow ⋮ Liquid toroidal drop in compressional Stokes flow ⋮ A Leaky Dielectric Drop with Conical Ends in An Electric Field ⋮ Small Deformation Analysis for Stationary Toroidal Drops in a Compressional Flow

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