Literature cited
L. M. Brekhovskikh and V. V. Goncharov, Introduction to the Mechanics of Continuous Media [in Russian], Nauka, Moscow (1982).
S. Ya. Sekerzh-Zen'kovich, “The fundamental solution of the internal-wave operator,” Dokl. Akad. Nauk SSSR,246, No. 2, 286–289 (1979).
S. Ya. Sekerzh-Zen'kovich, “A uniqueness theorem and explicit representation of solution of the Cauchy problem for the internal-wave equation,” Dokl. Akad. Nauk SSSR,256, 320–323 (1981).
S. P. Budanov, P. L. Grigor'ev, and V. A. Yakovlev, “On a representation of the fundamental solution of the internal-wave equation,” Izv. Akad. Nauk SSSR, Ser. FAO,21, No. 5, 553–555 (1985).
É. V. Teodorovich and V. A. Gorodtsov, “On certain singular solutions of the internalwave equation,” Izv. Akad. Nauk SSSR, Ser. FAO,16, No. 7, 320–323 (1980).
I. V. Sturova, “Internal waves generated by local perturbations in a linearly stratified fluid of finite depth,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 61–69 (1978).
V. A. Popov, “Development of a region of partially mixed fluid in a fine-layered stratified medium,” Izv. Akad. Nauk SSSR, Ser. FAO,22, No. 4, 389–394 (1986).
G. I. Barenblatt, “Dynamics of turbulent spots and intrusion in a stably stratified fluid,” Izv. Akad. Nauk SSSR, Ser. FAO,14, No. 2, 195–205 (1978).
V. S. Belyaev, “On the damping of turbulence in a spot while spreading in a stably stratified fluid,” Okeanologiya,21, No. 3, 436–440 (1981).
V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1984).
M. V. Fedoryuk, Asymptotic, Integrals, and Series [in Russian], Nauka, Moscow (1986).
V. A. Ditkin and A. P. Prudnikova, Handbook of Operational Calculus [in Russian], Vysshaya Shkola, Moscow (1965).
V. N. Maslennikova and A. I. Giniatullin, On the Problem of Intrusion in a Stratified Viscous Fluid for Three Space Variables [in Russian], Deposited in VINITI, Akad. Nauk SSSR, No. 2541-V91, June 18, 1991.
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Translated from Matematicheskie Zametki, Vol. 51, No. 4, pp. 69–77, April, 1992.
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Maslennikova, V.N., Ginnatullin, A.I. Problem of instrusion in a stratified viscous fluid for three space variables. Math Notes 51, 374–379 (1992). https://doi.org/10.1007/BF01250548
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DOI: https://doi.org/10.1007/BF01250548