Abstract
This chapter is devoted to integral presentations of physical fields in homogeneous media caused by external and internal field sources. For point concentrated sources, these fields are the Green functions of the differential operators of the governing equations for the fields. The Green functions of electro- and magnetostatics, electrodynamics, thermo-conductivity, acoustics, static and dynamic elasticity, and poroelasticity are considered. The volume and surface potentials associated with the Green functions are introduced, and regularization formulas for potentials with singular kernels are presented. Discontinuities of the potentials on the boundaries of the regions containing field sources are determined.
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