Asymptotic series solution of variational stokes problems in planar domain with crack-like singularity

Asymptotic series solution of variational stokes problems in planar domain with crack-like singularity

A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered. Based on the Fourier asymptotic analysis, general analytical solutions are obtained in pola...

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Bibliographic Details
Main Authors: Victor A. Kovtunenko, Kohji Ohtsuka
Format: Article
Language:English
Published: Taylor & Francis Group 2022-12-01
Series:Applied Mathematics in Science and Engineering
Subjects:
stokes system
incompressibility
mixed variational problem
asymptotic theory
fourier analysis
power series
recurrence relation
crack
non-penetration
crack-tip singularity
Online Access:http://dx.doi.org/10.1080/27690911.2022.2084542

Internet

http://dx.doi.org/10.1080/27690911.2022.2084542

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