Static Maxwell System in Axially Symmetric Inhomogeneous Media
Frontiers in mathematics · 2009
Consider the static Maxwell system 10.1 $$ div(\varepsilon E) = 0, rot E = 0 $$ where we suppose that e is a function of the cylindrical radial variable $$ r = \sqrt {x_1^2 + x_2^2 :} \varepsilon = \varepsilon (r) $$ . Two important situations are usually studied: the meridional field and the transverse field.