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On a class of exact solutions for the multidimensional analogue of sound propagation in viscous medium. (Russian) Zbl 0666.76104

Operator representations are constructed for solutions of the equation of sound propagation in viscous fluid. The space is assumed as multi- dimensional. Methods are suggested to construct base systems of polynomial and quasipolynomial solutions of the equation. The solution of the Cauchy problem is obtained for polyharmonical and analytical initial data.

MSC:

76Q05 Hydro- and aero-acoustics
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