An Exterior Neumann Boundary-Value Problem for the Div-Curl System and Applications

We investigate a generalization of the equation curlw→=g→ to an arbitrary number n dimensions, which is based on well-known Moisil–Teodorescu differential operator. Explicit solutions are derived for particular problem in bounded domains Rn using classical operators from Clifford analysis. In physically significant case n=3, two explicit div-curl system exterior R3 obtained following different constructions hyper-conjugate harmonic pairs. One hinges use radial integral operator introduced recently literature. An Neumann boundary-value considered system. That conveniently reduced Laplace domains. Some results its uniqueness and regularity derived. Finally, some applications construction inhomogeneous Lamé–Navier unbounded discussed.