Khodzhaniyazov, D. On a class of exact solutions for the multidimensional analogue of sound propagation in viscous medium. (Russian) Zbl 0666.76104 Vopr. Vychisl. Prikl. Mat. 80, 74-77 (1986). 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 Keywords:Operator representations; equation of sound propagation in viscous fluid; quasipolynomial solutions; Cauchy problem; polyharmonical and analytical initial data PDFBibTeX XMLCite \textit{D. Khodzhaniyazov}, Vopr. Vychisl. Prikl. Mat. 80, 74--77 (1986; Zbl 0666.76104)