论文信息 - Geometric aspects of averaging

Geometric aspects of averaging

CONTENTS Introduction ??1. Asymptotic expansion of Laplace's variational integrals ??2. Computation of dispersive media ??3. Extremal property of the hexagonal distribution of discs ??4. Random chess structure ??5. Asymptotic expansion of the effective conductivity for a small concentration of the non-conducting cellsConcluding remarks References

S. Kozlov | S M Kozlov

[1] J. W. Essam,et al. Exact Critical Percolation Probabilities for Site and Bond Problems in Two Dimensions , 1964 .

[2] V. Zhikov. Effective conductivity of random homogeneous sets , 1989 .

[3] V. Zhikov. QUESTIONS OF CONVERGENCE, DUALITY, AND AVERAGING FOR FUNCTIONALS OF THE CALCULUS OF VARIATIONS , 1984 .

[4] V. Zhikov,et al. AVERAGING AND G-CONVERGENCE OF DIFFERENTIAL OPERATORS , 1979 .

[5] A. Dykhne. Conductivity of a Two-dimensional Two-phase System , 1971 .

[6] R. Figari,et al. An approach through orthogonal projections to the study of in homogeneous or random media with linear response , 1986 .

[7] G. Pólya,et al. Isoperimetric inequalities in mathematical physics , 1951 .

[8] E. Witten. Supersymmetry and Morse theory , 1982 .