On asymptotic solution of the problems of diffusion and oscillation moving sources
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 6-13

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Asymptotic expansions for solutions of problems of moving sources of diffusion and high frequency oscillations are suggested. The flow of the medium is assumed. The intensity of the sources in both cases is arbitrary function of time.
@article{ZNSL_1989_179_a0,
     author = {V. M. Babich},
     title = {On asymptotic solution of the problems of diffusion and oscillation moving sources},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {6--13},
     publisher = {mathdoc},
     volume = {179},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a0/}
}
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V. M. Babich. On asymptotic solution of the problems of diffusion and oscillation moving sources. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 6-13. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a0/