Geodesic
Steady Stokes flow between confocal semi-ellipses
Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 2, pp. 324-331.

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Analytical solutions for the Stokes equations in a cavity bounded by two confocal semi-ellipses and two line segments are derived here. The exact solution for the stream function, in the form of a Fourier series, is obtained. Eddy structure is described for different boundary conditions.
Keywords: Stokes flow, biharmonic equation. 
@article{NANO_2016_7_2_a4,
     author = {I. V. Makeev and I. Yu. Popov},
     title = {Steady {Stokes} flow between confocal semi-ellipses},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {324--331},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2016_7_2_a4/}
}
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I. V. Makeev; I. Yu. Popov. Steady Stokes flow between confocal semi-ellipses. Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 2, pp. 324-331. http://geodesic.mathdoc.fr/item/NANO_2016_7_2_a4/