H. M. Badr, M. Au, S. C. Dennis, and C. Menard, Unsteady flow past a rotating circular cylinder at Reynolds numbers 10 3 and 10 4, Journal of Fluid Mechanics, vol.230, issue.-1, pp.459-484, 1990.
DOI : 10.1016/0045-7930(89)90030-3

J. M. Dorrepaal, M. E. Neill, and K. B. Ranger, Two-dimensional Stokes flows with cylinders and line singularities, Mathematika, vol.31, issue.01, pp.65-75, 1984.
DOI : 10.1017/S0022112057000105

L. Elliott, D. B. Ingham, and T. B. Ei-bashir, Stokes flow past two circular cylinders using a Boundary Element Method, Computers & Fluids, vol.24, issue.7, pp.787-798, 1995.
DOI : 10.1016/0045-7930(95)00013-3

H. Fuj-i-kawa, The Forces acting on Two Circular Cylinders of arbitrary Radii placed in a Uniform Stream at Low Values of Reynolds Number, Journal of the Physical Society of Japan, vol.11, issue.6, pp.690-701, 1956.
DOI : 10.1143/JPSJ.11.690

H. Fuj-i-kawa, Expansion Formulae for the Forces acting on Two Equal Circular Cylinders placed in a Uniform Stream at Low Values of Reynolds Number, Journal of the Physical Society of Japan, vol.12, issue.4, pp.423-430, 1957.
DOI : 10.1143/JPSJ.12.423

G. B. Jeffery, Plane Stress and Plane Strain in Bipolar Co-Ordinates, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.221, issue.582-593, pp.265-293, 1920.
DOI : 10.1098/rsta.1921.0009

G. B. Jeffery, 1922 The rotation of two circular cylinders in a viscous fluid, Proc. R. Soc. Lond. A 101, pp.169-174

S. Kaplun, Low Reynolds Number Flow Past a Circular Cylinder, Indiana University Mathematics Journal, vol.6, issue.4, pp.595-603, 1957.
DOI : 10.1512/iumj.1957.6.56029

S. Kaplun, &L a ger s t r om, P. A. 1957 Asymptotic expansions of Navier?Stokes solutions for small Reynolds numbers, J. Math. Mech, vol.6, pp.585-593

T. Kida, Matched asymptotic expansion method to integral formulations of wing theories, RIMS Kokyuroku, vol.475, pp.202-219, 1991.

T. Kida and T. Take, Singular perturbation of integral equations on wing theories, Proc. 6th Asian Congress of Fluid Mechanics, pp.165-168, 1995.

T. Kida and Y. Ueda, Low Reynolds Number Flow Around an Impulsively Started Rotating Circular Cylinder. Asymptotic Approach to a Steady Flow., Transactions of the Japan Society of Mechanical Engineers Series B, vol.68, issue.666, pp.375-383, 2002.
DOI : 10.1299/kikaib.68.375
URL : https://hal.archives-ouvertes.fr/hal-01025948

S. Kuwabara, The Forces Experienced by Two Circular Cylinders in a Uniform Flow at Small Reynolds Numbers, Journal of the Physical Society of Japan, vol.12, issue.3, pp.291-299, 1957.
DOI : 10.1143/JPSJ.12.291

S. H. Lee and L. G. Leal, Low-Reynolds-number flow past cylindrical bodies of arbitrary cross-sectional shape, Journal of Fluid Mechanics, vol.87, issue.-1, pp.401-427, 1986.
DOI : 10.1016/0021-9797(82)90373-3

M. Nakanishi and T. Kida, Unsteady low Reynolds number flow past two rotating circular cylinders by a vortex method, Proc. 3rd ASME/JSME Joint Fluids Engr. Conf. FEDSM, pp.99-6816, 1999.

M. Nakanishi, T. Kida, and T. Nakajima, Asymptotic solutions for two-dimensional low Reynolds number flow around an impulsively started circular cylinder, Journal of Fluid Mechanics, vol.334, pp.31-59, 1997.
DOI : 10.1017/S0022112096003758

I. Proudman and J. R. Pearson, Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder, Journal of Fluid Mechanics, vol.21, issue.03, pp.237-262, 1957.
DOI : 10.1017/S0022112057000105

A. Sellier, Asymptotic Expansions of a Class of Integrals, Proc. R. Soc. Lond. A 445, pp.693-710, 1994.
DOI : 10.1098/rspa.1994.0087

A. Sellier, Hadamard's finite part concept in dimension n > 2:d e finition and change of variables, Math. Proc. Camb. Phil. Soc. A 122, pp.131-148, 1997.

K. Shintani, A. Umemura, and . Takano, Low-Reynolds-number flow past an elliptic cylinder, Journal of Fluid Mechanics, vol.224, issue.-1, pp.277-289
DOI : 10.1017/S0022112057000105

S. H. Smith, The rotation of two circular cylinders in a viscous fluid, Mathematika, vol.31, issue.01, pp.63-66, 1991.
DOI : 10.1017/S0022112057000105

G. G. Stoke-s, 1850 On the effect of the internal friction of fluids on the motion of pendulums. Part I Analytical investigation. Section III Solution of the equations in the case of an infinite cylinder oscillating in an unlimited mass of fluid, in a direction perpendicular to its axis. Reprinted in Mathematical and Physical Papers,V ol III, 1901.

S. Tom-oti-ka and T. Aoi, The steady flow of viscous fluid past a sphere and circular cylinder at small Reynolds numbers, Q. J. Mech. Appl. Maths, vol.3, pp.140-159, 1950.

S. Tom-oti-ka and T. Aoi, AN EXPANSION FORMULA FOR THE DRAG ON A CIRCULAR CYLINDER MOVING THROUGH A VISCOUS FLUID AT SMALL REYNOLDS NUMBERS, The Quarterly Journal of Mechanics and Applied Mathematics, vol.4, issue.4, pp.401-406, 1951.
DOI : 10.1093/qjmam/4.4.401

Y. Ueda, T. Kida, M. Nakanishi, and A. Sellier, Low-Reynolds-Number Flow around an Impulsively Started Rotating and Translating Circular Cylinder., Transactions of the Japan Society of Mechanical Engineers Series B, vol.67, issue.659, pp.1626-1633, 2001.
DOI : 10.1299/kikaib.67.1626
URL : https://hal.archives-ouvertes.fr/hal-01025948

A. Um-emura, Matched-asymptotic analysis of low-Reynolds-number flow past two equal circular cylinders, Journal of Fluid Mechanics, vol.96, issue.-1, pp.345-363, 1982.
DOI : 10.1143/JPSJ.12.291

E. J. Wat-s-on, The rotation of two circular cylinders in a viscous fluid, Mathematika, vol.40, issue.01, pp.105-126, 1995.
DOI : 10.1098/rspa.1922.0035

E. J. Wat-s-on, Slow viscous flow past two rotating cylinders, The Quarterly Journal of Mechanics and Applied Mathematics, vol.49, issue.2, pp.195-215, 1996.
DOI : 10.1093/qjmam/49.2.195

H. Yan-o and A. Ki-e-da, An approximate method for solving two-dimensional low-Reynolds-number flow past arbitrary cylindrical bodies, Journal of Fluid Mechanics, vol.208, issue.01, pp.157-179, 1980.
DOI : 10.1143/JPSJ.12.423