Boundary-value problems for analytic functions. Applications of complex analysis in some problems of continuum mechanics. Analytic solution of heterogeneous media problems with evaluation effective parameters.
Main publications:
Obnosov Yu.V., “Exact solution of a problem of R-linear conjugation for a rectangular checkerboard field”, Proceedings Royal Society London, A,, 452 (1996), 2423-2442
Obnosov Yu.V., “Periodic heterogeneous structures: new explicit solutions and effective characteristics of refraction of an imposed field”, SIAM J. Appl. Math., 59:4 (1999), 1267-1287