R-linear problem on torus and its applications to composites

Abstract

We study the structure of the general solution of the R-linear conjugation problem with constant coefficients in a class of doubly periodic functions, i.e., the R-linear problem on torus. The results are applied to determine the effective conductivity tensor of composites.

Keywords:

• R-linear problem
• Boundary value problem
• Effective conductivity
• AMS 2000 Mathematics Subject Classifications: 30E25
• 74Q15

Notes

Dedicated to H. Begehr on the occasion of his 65th birthday.

Email: [email protected]

Email: [email protected]

Additional information

Notes on contributors

Vladimir Mityushev *

Dedicated to H. Begehr on the occasion of his 65th birthday. Email: [email protected]