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Complex analysis and mathematical physics
February 20, 2018 16:00–18:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)
 


The Static Maxwell system in an Axially Symmetric Inhomogeneous Medium, an Axially Symmetric Generalization of the Cauchy-Riemann System with Variable Coefficients and New Generalization of the Complex Potential Method

D. A. Bryukhov

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Abstract: Static meridional fields in some axially symmetric inhomogeneous media are studied using methods of modified quaternionic analysis in $R^3$. An axially symmetric generalization of the Cauchy-Riemann system with variable coefficients in $R^3$ plays a key role. New generalization of the complex potential method allows us to obtain surprising applications in modern problems of electrostatics and magnetostatics.

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