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Nonlinear euler poisson Darboux equations exactly solvable in multidimensions
(Izmir Institute of Technology, 2008)
The method of spherical means is the well known and elegant method of solving initial value problems for multidimensional PDE. By this method the problem reduced to the 1+1 dimensional one, which can be solved easily. But ...
Solution of Maxwell Equations on deformed spherical domains: Applications to the scattering problems
(Izmir Institute of Technology, 2015-07)
In the present work, firstly we consider analytic solution of the Maxwell’s Equations in the vacuum in the presence of conducting deformed spherical body. Deformation is made in the normal direction of sphere with a small ...