Uniqueness theorem of a quasistatic magnetic field in a saturable medium
Charles W. Steele · Journal of Applied Physics · 1977
A uniqueness theorem is presented for a quasistatic magnetic field in an isotropic but saturable magnetic field. Suppose in a given region that Maxwell’s equations are satisfied and that B is a steadily increasing function of H. Suppose also that E, D, and φ all have negligible time rates of change (this is the quasistatic assumption). If, in addition, tangential H is prescribed over the boundary of the region, then both B and H are unique in the region. If, in place of tangential H, tangential A is prescribed, then A, B, and H are unique in that region.