A Framework for Approximation of the Stokes Equations in an Axisymmetric Domain
Artikel i vetenskaplig tidskrift, 2021

We develop a framework for solving the stationary, incompressible Stokes equations in an axisymmetric domain. By means of Fourier expansion with respect to the angular variable, the three-dimensional Stokes problem is reduced to an equivalent, countable family of decoupled two-dimensional problems. By using decomposition of three-dimensional Sobolev norms, we derive natural variational spaces for the two-dimensional problems, and show that the variational formulations are well-posed. We analyze the error due to Fourier truncation and conclude that, for data that are sufficiently regular, it suffices to solve a small number of two-dimensional problems.

Weighted Sobolev Space

Fourier Truncation

Axisymmetric Domain

Stokes Equations


Niklas Ericsson

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Högskolan Väst

Göteborgs universitet

Computational Methods in Applied Mathematics

1609-4840 (ISSN) 1609-9389 (eISSN)

Vol. 21 4 791-810



Annan matematik

Matematisk analys



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