OLEKSANDR SOLODUN

@imath.kiev.ua

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



              

https://researchid.co/solodun

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematical Physics, Applied Mathematics

83

Scholar Citations

3

Scholar h-index

3

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • A linear mathematical model for spatial motion of a toroidal tank with liquid
    OV Solodun
    Nonlinear Oscillations 27 (3), 421-438 2024

  • On the Stokes – Zhukovskii potential for a toroidal cavity
    OV Solodun
    Nonlinear Oscillations 27 (2), 269-278 2024

  • 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 2020

  • Natural liquid sloshing in toroidal tanks
    AV Solodun
    Proc. Inst. Math. NASU 16 (2), 140–155 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

  • 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

  • On Internal Resonances of Liquid Sloshing in Movable Coaxial Conical Tanks
    AV Solodun
    Proc. Inst. Math. NASU 13 (3), 218–229 2016

  • Analysis of resonant liquid sloshing in truncated conical tanks
    AV Solodun
    Proc. Inst. Math. NASU 12 (5), 160–180 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

  • 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

  • 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

  • О внутренних резонансах колебаний жидкости в конических баках
    ИА Луковский, АВ Солодун, АН Тимоха
    Прикладна гідромеханіка 15 (2), 46-52 2013

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • On the Stokes-Zhukovsky potential for truncated conical shape cavit
    Lukovsky I.A., Solodun A.V., T A.N.
    Proc. Inst. Math. NASU 9 (3) 2008

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
    Citations: 51

  • 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
    Citations: 16

  • 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
    Citations: 12

  • О внутренних резонансах колебаний жидкости в конических баках
    ИА Луковский, АВ Солодун, АН Тимоха
    Прикладна гідромеханіка 15 (2), 46-52 2013
    Citations: 2

  • 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 2020
    Citations: 1

  • Investigation of forced oscillations in circular cylindrical vessels separated by diametrical barriers
    OV Solodun
    Nonlinear Oscillations 5 (1), 83-98 2002
    Citations: 1