On asymptotic solutions of the problems of moving sources of diffusion and oscillations

Asymptotic expansions are proposed for the solutions of the problems of moving sources of diffusion and high-frequency oscillations in the presence of a flow. The intensity of each of the sources is a given arbitrary function of time.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Vol. 179, pp. 6–13, 1989.