Investigation of filtration with a nonstationary free boundary

The article indicates an inverse method for constructing filtration flows in the presence of a free surface. It gives concrete series of varying free surfaces, equalizing-out elevations and depressions, and surfaces of a rise or fall of the ground waters as a result of the work of drainage or injection boreholes.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 170–172, November–December, 1974.     

A connection of the sum of Salié sums with the distribution of integral points on hyperboloids

Based on the uniform distribution of integral points on hyperboloids, we obtain nontrivial estimates for the sum of Salié sums.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 116, pp. 56–62, 1982.     

Heterocyclization of acid arylhydrazides to 2-aminoindole derivatives (the Kost reaction) (review)

The results of research on the synthesis of 2-aminoindole derivatives by means of the rearrangement of acid arylhydrazides (the Kost reaction) are correlated.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 9, pp. 1155–1171, September, 1985.     

Synthesis and structure of substituted 2-amino-3-arylindoles

The corresponding 2-amino-3-arylindole hydrochlorides were obtained by the reaction of substituted arylacetic acid arylhydrazides with phosphorus oxychloride (the Kost reaction). The effect of substituents in the aryl rings on the rearrangement was examined qualitatively. The IR, PMR, and UV spectra of the compounds obtained are discussed in relationship with the peculiarities of their structure.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 8, pp. 1075–1080, August, 1985.