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Series on Advances in Mathematics for Applied Sciences - Vol. 50

HOMOGENIZATION
In Memory of Serguei Kozlov

edited by V Berdichevsky (Wayne State University, USA), V Jikov (Pedagogical University, Russia) & G Papanicolaou (Stanford University, USA)

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.


Contents:

  • Serguei Kozlov — A Review of Scientific Contributions (A Beliaev & V Jikov)
  • Critical Path Analysis of Transport in Highly Disordered Random Media (K M Golden & S M Kozlov)
  • Multiscaled Homogenization (V V Jikov & S M Kozlov)
  • The Effective Thermoconductivity and Shear Modulus of a Lattice Structure: An Asymptotic Analysis (S M Kozlov & G P Panasenko)
  • Multiparametric Problems of Homogenization Theory (N S Bakhvalov & 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 Berlyand)
  • Optimal Design for Uncertain Loading Condition (A Cherkaev & 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 Jäger & A Mikelic)
  • Control in the Coefficients of Linear Hyperbolic Equations via Spacio-Temporal Components (K A Lurie)
  • Multiscale Averaging for Ordinary Differential Equations. Applications to the Spectral Theory of One-Dimensional Schrödinger Operator 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)


Readership: Applied mathematicians.

440pp Pub. date: May 1999
ISBN 978-981-02-3096-8
981-02-3096-6
US$94 / £59
US$38 / £24

* Special price applies only to individuals purchasing online and cannot be used in conjunction with any other offers.


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Updated on 4 July 2008