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Vorovich, Iosif Izrailevich

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Encyclopedia of Continuum Mechanics

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Iosif Izrailevich-Girshevich Vorovich (*21 June 1920 in Starodub, a town in the Bryansk region of the USSR, † 6 September 2001 in Rostov on Don, Russia) was an outstanding Soviet and Russian mathematician and mechanicist who worked in the fields of mathematical elasticity and the mechanics of shells.

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(21 June 1920–6 September 2001)

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References

  • Lebedev LP, Eremeyev VA (2011) Academician Iosif I. Vorovich. ZAMM-J Appl Math Mech/Zeitschrift für Angewandte Mathematik und Mechanik 91(6):429–432

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  • Lebedev LP, Vorovich II (2003) Functional analysis in mechanics. Springer, New York

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  • Lebedev LP, Vorovich II, Gladwell GML (2002) Functional analysis. Applications in mechanics and inverse problems, solid mechanics and its applications, vol 100, 2nd edn. Kluwer, New York

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  • Vorovich II (1955a) On some direct methods in the nonlinear theory of shallow shells (in Russian). Doklady Akademii Nauk SSSR 105(1):42–45

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  • Vorovich II (1955b) On the existence of solutions in the nonlinear theory of shells (in Russian). Ivestija Akademii Nauk SSSR Serya Mathematika 19(4):173–186

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  • Vorovich II (1956a) Certain cases of the existence of periodical solutions. Doklady Akademii Nauk SSSR 110(2):165–168

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  • Vorovich II (1956b) The Bubnov-Galerkin method in the non-linear theory of vibrations of shallow shells. Doklady Akademii Nauk SSSR 110(5):723–726

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  • Vorovich II (1957) The existence of solutions in the non-linear theory of shells. Doklady Akademii Nauk SSSR 117(2):203–206

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  • Vorovich II (1958) Error of direct methods in the non-linear theory of shells. Doklady Akademii Nauk SSSR 122(2):196–199

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  • Vorovich II (1979) Resonance properties of an elastic inhomogeneous band. Doklady akademii nauk SSSR 245(5):1076–1079

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  • Vorovich II (1989a) Mathematical problems of nonlinear theory of shallow shells (in Russian). Nauka, Moscow

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  • Vorovich II (1989b) Solvability of boundary-value-problems of the theory of physically shallow and unrolling shells. Doklady akademii nauk SSSR 304(6):1329–1332

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  • Vorovich II (1999) Nonliner theory of shallow shells. Applied mathematical sciencies, vol 133. Springer, New York

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  • Vorovich II (2004) Lectures on the Newton’s dynamics: modern view of Newton’s mechanics and its development, vol 2 (in Russian). UrSS, Moscow/Izhevsk

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  • Vorovich II (2010) Lectures on the Newton’s dynamics: modern view of Newton’s mechanics and its development, vol 2 (in Russian). Fizmatlit, Moscow

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  • Vorovich II, Babeshko VA (1979) Dynamic mixed problems of elasticity for nonclassical regions (in Russian). Nauka, Moscow

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  • Vorovich II, Krasovskij IP (1959) Method of elastic solutions. Doklady Akademii Nauk SSSR 126(4):740–743

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  • Vorovich II, Lebedev LP (1972) On the existence of solutions of the nonlinear theory of shallow shells. J Appl Math Mech 36(4):652–665

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  • Vorovich II, Lebedev LP (2000) Functional analysis and its applications in continuum mechanics (in Russian). Vuzovskaya Kniga, Moscow

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  • Vorovich II, Minakova NI (1968) Stability of a nonshallow spherical dome. J Appl Math Mech 32(2):327–338

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  • Vorovich II, Yudovich VI (1961) Steady flow of a viscous incompressible fluid (in Russian). Matematichesky Sbornik 53(95)(4):393–428

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  • Vorovich II, Safronov YV, Ustinov YA (1967) The strength of the wheels of complex structures: theory and calculations (in Russian). Mashinostroenie, Moscow

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  • Vorovich II, Alexandrov VM, Babeshko VA (1974) Nonclassical mixed boundary-value problems of elasticity (in Russian). Nauka, Moscow

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  • Vorovich II, Babeshko VA, Pryakhina OD (1999) Dynamics of massive bodies and resonance phenomena in deformable media (in Russian). Nauka, Moscow

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Author information

Authors and Affiliations

  1. Universidad Nacional de Colombia, Bogotá D.C., Colombia

    Leonid P. Lebedev

  2. Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

Authors
  1. Leonid P. Lebedev
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  2. Victor A. Eremeyev
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Corresponding author

Correspondence to Leonid P. Lebedev .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Lehrstuhl für Technische Mechanik, Institut für Mechanik, Fakultät für Maschinenbau, Otto-von-Guericke-Universität, Universitätsplatz 2, 39106, Magdeburg, Germany

    Holm Altenbach

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Lebedev, L.P., Eremeyev, V.A. (2018). Vorovich, Iosif Izrailevich. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_26-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_26-1

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  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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