Short-wave asymptotics of the solution of the problem of a point source in an inhomogeneous moving medium

The leading term is obtained for the short-wave asymptotics of the field of a point source in a small neighborhood of it and also an expression for the excitation coefficient of the wave in the region where the ray representation is valid for an infinite, inhomogeneous, vortex-free, moving medium with constant entropy and for a weakly vortical medium for which the speed of motion is small.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 140, pp. 41–48, 1984.The author is grateful to V. S. Buldyrev for useful discussion of the papers.