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- I. Pankratova, E. Khruslov
- 2006 International Conference on Mathematical…
- 2006

We consider the electromagnetic field in the domain with a perfectly conducting grid made of thin intersecting wires. The grid is supposed to be dependent on a small parameter epsiv>0 such that when epsivrarr0 the diameters of the wires tend to zero, the density of the grid increases and the grid is located in an arbitrary small neighborhood of a smooth… (More)

- Leonid Berlyand, Evgen Khruslov
- SIAM Journal of Applied Mathematics
- 1999

We consider the Neumann boundary value problem for harmonic maps in an annular domain with a large number of small holes. On the boundary of the domain the degree condition is prescribed. We obtain an effective (homogenized) anisotropic nonlinear problem. We also discuss applications of these results to homogenized description of superconducting composites… (More)

- Evgen Khruslov, Leonid Berlyand
- SIAM Journal of Applied Mathematics
- 2004

Our study is motivated by an attempt to develop a rigorous mathematical model of a suspension highly filled with a large number of small solid particles, which interact due to surface forces. We use asymptotic analysis in the small parameter , and consider irregular (nonperiodic) geometries for which the sizes of particles and the distances between them are… (More)

Abstract. We consider the system of equations that describes small nonstationary motions of viscous incompressible fluid with a large number of small rigid interacting particles. This system is a microscopic mathematical model of complex fluids such as colloidal suspensions, polymer solutions etc. We suppose that the system of particles depends on a small… (More)

- Maksym Berezhnyi, Evgen Khruslov
- NHM
- 2011

An elastic medium with a large number of small axially symmetric solid particles is considered. It is assumed that the particles are identically oriented and under the influence of elastic medium they move translationally or rotate around symmetry axis but the direction of their symmetry axes does not change. The asymptotic behavior of small oscillations of… (More)

- Maksym Berezhnyi, Evgen Khruslov
- Asymptotic Analysis
- 2013

Abstract. A viscous incompressible fluid with a large number of small axially symmetric solid particles is considered. It is assumed that the particles are identically oriented and under the influence of the fluid move translationally or rotate around a symmetry axis with the direction of their symmetry axes unchanged. The asymptotic behavior of… (More)

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