# AN ANTHOLOGY OF THE DISTINGUISHED ACHIEVEMENTS IN SCIENCE AND TECHNIQUE. PART 30: PORTRAIT OF THE KHARKOV MATHEMATICIAN, MECHANICAL ENGINEER AND CYBERNETICIST VLADIMIR LOGVINOVICH RVACHEV

## DOI:

https://doi.org/10.20998/2074-272X.2016.1.01## Keywords:

history, mathematics, mechanics, cybernetics, Kharkov region, distinguished scientific achievements## Abstract

*Purpose.**Description of basic scientific achievements, features of personality and way of life of the known Kharkov mathematician, mechanical engineer and cyberneticist, academician of NAS of Ukraine Rvachev V.L .in the short form is presented.*

**Methodology.**Existent scientific approaches for treatment and systematization of mathematical knowledges, modern achievements in area of methods of direct solution of linear (nonlinear) boundary problems of mechanics and mathematical physics with the scope terms of different types for the physical bodies of difficult geometrical form. Methods of historical method at research of development in society of analytical geometry, applied mathematics, classical mechanics and mathematical physics.**Results.***Short information is resulted about the basic creative and vital stages, and also fundamental scientific achievements of the indicated scientist-mathematician the scientific legacy of which entered in the treasure-house of world mathematical science. Are some personal qualities of this prominent soviet Ukrainian mathematician of the 20-th century, forming scientific school on the mathematical method of R−functions and leaving about itself kind memory for thankful students and descendants.*

*Originality.**First taught in 1970-th at the known mathematician of contemporaneity of Rvachev V.L. to bases of the applied mathematics and theory of R−functions by a scientist-electrophysicist from the Kharkov polytechnic institute presented for the wide circle of readers a short scientifically-historical essay about this large scientist-teacher, being based on his scientific labours, published biobibliographic materials and flashbacks of his devoted students-followers about him.*

*Practical value.*

*Scientific popularization of the special physical and mathematical knowledges and distinguished scientific achievements of the known Kharkov scientist-mathematician Rvachev V.L. in area of the applied mathematics, classical mechanics of continuous media, mathematical physics and technical cybernetics.*

## References

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Rvachev V.L. The pressure on the elastic half-space stamp, in terms of having a band shape. *Prikladnaja matematika i mekhanika − Applied Mathematics and Mechani*cs, 1956, vol.20, no.2, pp. 248-254. (Rus).

Mossakovskiy V.I., Rvachev V.L. On the problem of horizontal hydrodynamic shock sphere. *Prikladnaja matematika i mekhanika − Applied Mathematics and Mechani*cs, 1958, vol.22, no.6, pp. 847-849. (Rus).

Rvachev V.L. The character of the pressure distribution under the stamp, outlined in the plan two contiguous circles. *Izvestija AN SSSR.* *Mekhanika i mashinostroenie – Proceedings of Academy of sciences of the USSR. Mechanics and machine construction*, 1959, no.2, pp. 147-158. (Rus).

Rakov A.Kh., Rvachev V.L. Contact task theories of resiliency for half-space the module of resiliency of which is the sedate function of depth. *Dopovіdі AN Ukrainskoj SSR − Reports of Academy of sciences of the Ukrainian SSR*, 1961, no.3, pp.286-290. (Ukr).

Bіlik G.І., Rvachev V.L. About main integral equalization of contact task theories of resiliency for half-space the module of resiliency of which is the sedate function of depth. *Dopovіdі AN Ukrainskoj SSR − Reports of Academy of sciences of the Ukrainian SSR*, 1962, no.8, pp. 1041-1044. (Ukr).

Rvachev V.L. An analytical description of some geometric objects. *Doklady AN SSSR *− *Reports **of Academy of sciences of the USSR*, 1963, vol.153, no.4, pp. 765-768. (Rus).

Rvachev V.L. To the decision of one task of theory of potential. *Dopovіdі AN Ukrainskoj SSR − Reports of Academy of sciences of the Ukrainian SSR*, 1958, no.2, pp. 144-146. (Ukr).

Rvachev V.L., Yushchenko E.L. *Nekotorye voprosy analiticheskogo opisaniia geometricheskikh ob"ektov slozhnoi logicheskoi struktury *[Some questions the analytical description of geometric objects with complex logic structure]. Kiev, Znanie USSR Publ., 1965. 53 p. (Rus).

Rvachev V.L., Stoyan Yu.G. On the optimal cutting material. *Voprosy teoreticheskoj kibernetiki *− *Questions of theoretical cybernetics*, 1965, pp. 189-199. (Rus).

Volkov A.P., Kravchenko V.F., Man'ko G.P., Rvachev V.L. On the solution of boundary task method by R- functions. *Differencial'nye uravnenija *− *Differential equations*, 1967, vol.3, no.9, pp. 1602-1605. (Rus).

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Rvachev V.L., Uchіshvіlі L.O. Calculation freely being plates by a method R− functions. *Dopovіdі AN Ukrainskoj SSR. Ser. A − Reports of Academy of sciences of the Ukrainian SSR. Ser. A*, 1968, no.10, pp. 935-937. (Ukr).

Rvachev V.L., Rakova L.V. Use of method for the decision of task on determination of frequencies and forms of vibrations of plates of difficult form. *Dopovіdі AN Ukrainskoj SSR. Ser. A − Reports of Academy of sciences of the Ukrainian SSR. Ser. A*, 1969, no.10, pp. 902-905. (Ukr).

Kravchenko V.F., Polyakov V.F., Rvachev V.L. Solution of the task of diffraction of a plane wave by a system of two metal strips by a method R− functions. *Radiotekhnika *− *Radio engineering*, 1970, no.13, pp. 168-176. (Rus).

Rvachev V.L., Yarmolyuk V.K. About the use method R− functions for the decision of stationary tasks of heat conductivity and electrodynamics. *Dopovіdі AN Ukrainskoj SSR. Ser. A − Reports of Academy of sciences of the Ukrainian SSR. Ser. A*, 1971, no.11, pp. 1003-1005. (Ukr).

Rvachev V.L. *Teorija R− funkcij i nekotorye ee prilozhenija* [Theory R- functions and some its applications]. Kiev, Naukova dumka Publ., 1982. 552 p. (Rus).

Rvachev V.L. *Geometricheskie prilozhenija algebry logiki* [Geometric algebra application logic]. Kiev, Naukova dumka Publ., 1967. 212 p. (Rus).

Rvachev V.L. *Metody algebry logiki v matematicheskoj fizike *[Methods of algebra of logic in mathematical physics]. Kiev, Naukova dumka Publ., 1974. 259 p. (Rus).

*Bol'shoj illjustrirovannyj slovar' inostrannyh slov *[Large illustrated dictionary of foreign words]. Moscow, Russkie slovari Publ., 2004. 957 p. (Rus).

Rvachev V.L., Slesarenko A.P. On a modification of the structural method for solving mixed boundary tasks of heat conduction for areas of complex shape. *Matematicheskaja fizika − Mathematical physics*, 1974, no.15, pp. 137-140. (Rus).

Kravchenko V.F., Polevoy V.I., Rvachev V.L. The calculation of the basic parameters of antennas complex shapes by R− functions. *Metrologicheskie voprosy radiofiziki *− *Metrological questions of radiophysics*, 1974. pp.87-106. (Rus).

Rvachev V.L., Sheyko T.I. On the question of the distribution of the electric potential in the course of conducting liquid in a nonuniform magnetic field. *Matematicheskaja fizika *− *Mathematical physics*, 1975, no.18, pp. 135-139. (Rus).

Rvachev V.L., Slesarenko A.P. *Algebra logiki i integral'nye preobrazovanija v kraevyh zadachah* [The algebra of logic and integral transformations in the boundary tasks]. Kiev, Naukova dumka Publ., 1976. 287 p. (Rus).

Rvachev V.L., Procenko V.S. *Kontaktnye zadachi teorii uprugosti dlja neklassicheskih oblastej* [The contact tasks theorіes of resiliency for non-classical areas]. Kiev, Naukova dumka Publ., 1977. 235 p. (Rus).

Rvachev V.L., Slesarenko A.P. *Algebro-logicheskie i proekcionnye metody v zadachah teploobmena* [Algebraic, logical and projection methods in tasks of thermal exchange]. Kiev, Naukova dumka Publ., 1978. 140 p. (Rus).

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Rvachev V.L., Sinekop N.S. Formula convolution method R- functions and their application to the construction of structures of solutions of boundary tasks. *Doklady AN SSSR *− *Reports **of Academy of sciences of the USSR*, 1980, vol.255, no.1, pp. 80-83. (Rus).

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Rvachev Vladimir Logvinovich (Rvachev Vladimir Logvinovich) Available at: https://ru.wikipedia.org/wiki/Рвачёв, Владимир Логвинович (accessed 28 February 2013). (Rus).

Available at: http://rvachev.narod.ru (accessed 08 October 2013). (Rus).

Available at: http://www.impach.kharkov.ua/ PersonPages/Rvachev.htm (accessed 20 August 2012). (Rus).

Available at: http://polytechnic.kpi.kharkov.ua/ ViewArticle.asp?id=1171 (accessed 12 March 2014). (Rus).

Available at: http://dic.academic.ru/dic.nsf/ruwiki/1289464 (accessed 11 May 2014). (Rus).

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*Electrical Engineering & Electromechanics*, (1), 3–11. https://doi.org/10.20998/2074-272X.2016.1.01

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