Abstract:
Some nonlinear dipole approximation is constructed for the nonstationary problem of a solid sphere motion under a free surface. The approximation is justified in the class of analytic functions decaying at infinity.
Keywords:
submerged sphere, dipole approximation, scale of Banach spaces.
Citation:
E. V. Pyatkina, “Justification of dipole approximation in the problem of nonlinear wave generation by a submerged sphere”, Sibirsk. Mat. Zh., 46:4 (2005), 907–927; Siberian Math. J., 46:4 (2005), 722–739