This is a memorial volume in honor of Serguei Kozlov, one of the founders of homogenization, a new branch of mathematical physics. This volume contains original contributions of leading world experts in the field.
Serguei Kozlov - a review of scientific contributions, A. Beliaev and V. Jikov; critical path analysis of transport in highly disordered random media, K.M. Golden and S.M. Kozlov; multiscaled homogenization, V.V. Jikov and S.M. Kozlov; the effective thermoconductivity and shear modulus of a lattice structure - an asymptotic analysis, S.M. Kozlov and G.P. Panasenko; multiparametric problems of homogenization theory, N.S. Bakhvalov and M.E. Eglit; nonlinear Darcy law in a random porous medium, A. Yu Beliaev; distribution of minimum values of weakly stochastic functionals, V. Berdichevsky; asymmetric strain-stress distribution function for crystal with random point defects, L. Beryland; optimal design for uncertain loading condition, A. Cherkaev and E. Cherkaeva; effective properties of a plane two-phase elastic composites - coupled bulk-shear moduli bounds, L.V. Gibiansky; homogenization of the Laplace equation in a partially perforated domain, W. Jager and A. Mikelic; control in the coefficients of linear hyperbolic equations via spacio-temporal components, K.A. Lurie; multiscale avergaging for ordinary differential equations - applications to the spectral theory of one-dimensional Schrodinger operators with sparse potentials, S.A. Molchanov; remarks on an estimate of Serguei Kozlov, U. Mosco; central limit theorem and spectral asymptotics for nonlinear stochastic partial differential equation with weak nonlinearity, A.L. Piatnitski.
