OLEKSANDR SOLODUN

@imath.kiev.ua

Mathematical problems of mechanics and control theory
Institute of Mathematics of NASU

OLEKSANDR SOLODUN


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https://researchid.co/solodun

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematical Physics, Applied Mathematics
102

Scholar Citations

3

Scholar h-index

3

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • LINEAR MATHEMATICAL MODEL OF THE SPACE MOTION OF A TOROIDAL TANK WITH LIQUID
    O Solodun
    Journal of Mathematical Sciences 295 (5), 626-644 , 2025
    2025
  • A linear mathematical model for spatial motion of a toroidal tank with liquid
    OV Solodun
    Nonlinear Oscillations 27 (3), 421-438 , 2024
    2024
  • On the Stokes – Zhukovskii potential for a toroidal cavity
    OV Solodun
    Nonlinear Oscillations 27 (2), 269-278 , 2024
    2024
    Citations: 1
  • The Narimanov–Moiseev Multimodal Analysis of Nonlinear Sloshing in Circular Conical Tanks
    AV Solodun, AN Timokha
    Applied Mathematical Analysis: Theory, Methods, and Applications, 267-309 , 2019
    2019
    Citations: 1
  • Natural liquid sloshing in toroidal tanks
    AV Solodun
    Proc. Inst. Math. NASU 16 (2), 140–155 , 2019
    2019
  • Mathematical problems of nonlinear dynamics of conical reservoirs with liquids
    IA Lukovsky, AV Solodun, AN Timokha
    2019
  • Собственные колебания жидкости в усечённых соосных конических баках
    OV Solodun
    Збірник Праць Інституту математики НАН України 15 (1), 180-205 , 2018
    2018
  • General nonlinear mathematical modal model of the third order of liquid sloshing in coaxial conical tanks
    AV Solodun
    Proc. Inst. Math. NASU 14 (2), 133–149 , 2017
    2017
  • On Internal Resonances of Liquid Sloshing in Movable Coaxial Conical Tanks
    AV Solodun
    Proc. Inst. Math. NASU 13 (3), 218–229 , 2016
    2016
  • Analysis of resonant liquid sloshing in truncated conical tanks
    AV Solodun
    Proc. Inst. Math. NASU 12 (5), 160–180 , 2015
    2015
  • Nonlinear Modal Models of the Third Order Describing Liquid Sloshing in Truncated Conical Tanks
    AV Solodun
    Proc. Inst. Math. NASU 11 (4), 280–307 , 2014
    2014
  • Weakly nonlinear sloshing in a truncated circular conical tank
    IP Gavrilyuk, M Hermann, IA Lukovsky, OV Solodun, AN Timokha
    Fluid Dynamics Research 45 (5), 055512 , 2013
    2013
    Citations: 21
  • Variational Method for Studying the Spectral Problem of Natural Liquid Sloshing in Coaxial Conical Tanks
    IA Lukovsky, AV Solodun
    Proc. Inst. Math. NASU 10 (3), 88–112 , 2013
    2013
    Citations: 2
  • О внутренних резонансах колебаний жидкости в конических баках
    ИА Луковский, АВ Солодун, АН Тимоха
    Прикладна гідромеханіка 15 (2), 46-52 , 2013
    2013
    Citations: 2
  • Multimodal method for linear liquid sloshing in a rigid tapered conical tank
    I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
    Engineering Computations 29 (2), 198-220 , 2012
    2012
    Citations: 16
  • Internal resonances in liquid sloshing problems for truncatedconical tanks
    I.A.Lukovsky, A.V.Solodun, A.N.Timokha
    Proc. Inst. Math. NASU 9 (1), 203–212 , 2012
    2012
  • On the asymptotic limit the use of solutions of the theory of surface waves in determining the weight attached to the moving liquid conical containers
    IO Lukovsky, OV Solodun
    Proc. Inst. Math. NASU 7 (2) , 2010
    2010
  • Modal modeling of the fluid-structure interaction associated with sloshing in a tapered conical tank
    I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
    Reports on Numerical Mathematics, FSU Jena, 10 (02), 17 , 2010
    2010
  • The linear mathematical model of spatial movement of a conical tank with a liquid
    I.A.Lukovsky, A.V.Solodun, AN Timokha
    Acoustic Bulletin 12 (2), 44-56 , 2009
    2009
  • Natural sloshing frequencies in rigid truncated conical tanks
    I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
    Engineering Computations 25 (6), 518-540 , 2008
    2008
    Citations: 58

MOST CITED SCHOLAR PUBLICATIONS

  • Natural sloshing frequencies in rigid truncated conical tanks
    I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
    Engineering Computations 25 (6), 518-540 , 2008
    2008
    Citations: 58
  • Weakly nonlinear sloshing in a truncated circular conical tank
    IP Gavrilyuk, M Hermann, IA Lukovsky, OV Solodun, AN Timokha
    Fluid Dynamics Research 45 (5), 055512 , 2013
    2013
    Citations: 21
  • Multimodal method for linear liquid sloshing in a rigid tapered conical tank
    I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
    Engineering Computations 29 (2), 198-220 , 2012
    2012
    Citations: 16
  • Variational Method for Studying the Spectral Problem of Natural Liquid Sloshing in Coaxial Conical Tanks
    IA Lukovsky, AV Solodun
    Proc. Inst. Math. NASU 10 (3), 88–112 , 2013
    2013
    Citations: 2
  • О внутренних резонансах колебаний жидкости в конических баках
    ИА Луковский, АВ Солодун, АН Тимоха
    Прикладна гідромеханіка 15 (2), 46-52 , 2013
    2013
    Citations: 2
  • On the Stokes – Zhukovskii potential for a toroidal cavity
    OV Solodun
    Nonlinear Oscillations 27 (2), 269-278 , 2024
    2024
    Citations: 1
  • The Narimanov–Moiseev Multimodal Analysis of Nonlinear Sloshing in Circular Conical Tanks
    AV Solodun, AN Timokha
    Applied Mathematical Analysis: Theory, Methods, and Applications, 267-309 , 2019
    2019
    Citations: 1
  • Investigation of forced oscillations in circular cylindrical vessels separated by diametrical barriers
    OV Solodun
    Nonlinear Oscillations 5 (1), 83-98 , 2002
    2002
    Citations: 1
  • LINEAR MATHEMATICAL MODEL OF THE SPACE MOTION OF A TOROIDAL TANK WITH LIQUID
    O Solodun
    Journal of Mathematical Sciences 295 (5), 626-644 , 2025
    2025
  • A linear mathematical model for spatial motion of a toroidal tank with liquid
    OV Solodun
    Nonlinear Oscillations 27 (3), 421-438 , 2024
    2024
  • Natural liquid sloshing in toroidal tanks
    AV Solodun
    Proc. Inst. Math. NASU 16 (2), 140–155 , 2019
    2019
  • Mathematical problems of nonlinear dynamics of conical reservoirs with liquids
    IA Lukovsky, AV Solodun, AN Timokha
    2019
  • Собственные колебания жидкости в усечённых соосных конических баках
    OV Solodun
    Збірник Праць Інституту математики НАН України 15 (1), 180-205 , 2018
    2018
  • General nonlinear mathematical modal model of the third order of liquid sloshing in coaxial conical tanks
    AV Solodun
    Proc. Inst. Math. NASU 14 (2), 133–149 , 2017
    2017
  • On Internal Resonances of Liquid Sloshing in Movable Coaxial Conical Tanks
    AV Solodun
    Proc. Inst. Math. NASU 13 (3), 218–229 , 2016
    2016
  • Analysis of resonant liquid sloshing in truncated conical tanks
    AV Solodun
    Proc. Inst. Math. NASU 12 (5), 160–180 , 2015
    2015
  • Nonlinear Modal Models of the Third Order Describing Liquid Sloshing in Truncated Conical Tanks
    AV Solodun
    Proc. Inst. Math. NASU 11 (4), 280–307 , 2014
    2014
  • Internal resonances in liquid sloshing problems for truncatedconical tanks
    I.A.Lukovsky, A.V.Solodun, A.N.Timokha
    Proc. Inst. Math. NASU 9 (1), 203–212 , 2012
    2012
  • On the asymptotic limit the use of solutions of the theory of surface waves in determining the weight attached to the moving liquid conical containers
    IO Lukovsky, OV Solodun
    Proc. Inst. Math. NASU 7 (2) , 2010
    2010
  • Modal modeling of the fluid-structure interaction associated with sloshing in a tapered conical tank
    I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
    Reports on Numerical Mathematics, FSU Jena, 10 (02), 17 , 2010
    2010