Abstract
We consider an infinite planar four-phase heterogeneous medium with three concentric circles as a boundary between isotropic medium’s components of distinct resistivities/conductivities. It is supposed that the velocity field in this structure is generated by a finite set of arbitrary multipoles. We distinguish two cases when multipoles are inside of medium’s components or at the interface. An exact analytical solution of the corresponding ℝ-linear conjugation boundary value problem is derived for both cases. Examples of flow nets (isobars and streamlines) are presented.
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Submitted by A. M. Elizarov
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Kazarin, A.Y., Obnosov, Y.V. An ℝ-linear conjugation problem for two concentric annuli. Lobachevskii J Math 36, 215–224 (2015). https://doi.org/10.1134/S1995080215020201
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DOI: https://doi.org/10.1134/S1995080215020201