書誌事項

Homogenization : in memory of Serguei Kozlov

editors, V. Berdichevsky, V. Jikov, G. Papanicolaou

(Series on advances in mathematics for applied sciences, vol. 50)

World Scientific, c1999

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内容説明・目次

内容説明

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.

目次

  • 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.

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