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Vladimir Mityushev
Articles in Scholarly Journals [Incomplete List]
Darcy flow around a two-dimensional permeable lens
Journal of Physics A: Mathematical and General, vol. 39, no. 14, pp. 3545–3560, 2006
Stokes flow through a channel with wavy walls
Acta Mechanica, vol. 182, no. 3-4, pp. 151–182, 2006
Representative cell in mechanics of composites and generalized Eisenstein-Rayleigh sums
Complex Variables and Elliptic Equations, vol. 51, no. 8, pp. 1033–1045, 2006
Macroscopic diffusion on rough surfaces
Physical Review E, vol. 69, no. 1, 2004
Macroscopic Properties of Similar Arrays of Cylinders
The Quarterly Journal of Mechanics and Applied Mathematics, vol. 56, no. 4, pp. 617–628, 2003
Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell
ZAMM, vol. 82, no. 5, p. 335, 2002
Effective medium approximation and exact formulae for electrokinetic phenomena in porous media
Journal of Physics A: Mathematical and General, vol. 36, no. 2, pp. 391–404, 2002
Zeitschrift für angewandte Mathematik und Physik, vol. 53, no. 3, pp. 486–514, 2002
Transport Properties of Doubly Periodic Arrays of Circular Cylinders and Optimal Design Problems
Applied Mathematics and Optimization, vol. 44, no. 1, pp. 17–31, 2001
Journal of Statistical Physics, vol. 102, no. 1/2, pp. 115–145, 2001
A linear functional equation with a singularity at a fixed point
Aequationes Mathematicae, vol. 57, no. 1, pp. 37–44, 1999
Transport properties of two-dimensional composite materials with circular inclusions
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 455, no. 1987, pp. 2513–2528, 1999
Steady heat conduction of a material with an array of cylindrical holes in the nonlinear case
IMA Journal of Applied Mathematics, vol. 61, no. 1, pp. 91–102, 1998
Proceedings of the American Mathematical Society, vol. 126, no. 08, pp. 2399–2407, 1998
Transport Properties of Double-Periodic Arrays of Circular Cylinders
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 77, no. 2, pp. 115–120, 1997