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    Vyacheslav Vladimirovich Meleshko

    2018, Vol. 14, no. 4, pp.  595-600
    Citation: Vyacheslav Vladimirovich Meleshko, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 4, pp.  595-600
    DOI:10.20537/nd180412


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    References

    [1] Grinchenko, V. T. and Meleshko, V. V., Harmonic Oscillations and Waves in Elastic Bodies, Naukova Dumka, Kiev, 1981, 284 pp. (Russian)  mathscinet  zmath
    [2] Meleshko, V. V. and Konstantinov, M. Yu., Dynamics of Vortex Structures, Naukova Dumka, Kiev, 1993, 280 pp. (Russian)
    [3] Meleshko, V. V., Matsypura, V. T., and Ulitko, I. A., Theory of Waveguides, VPC Kiev Univ., Kiev, 2003, 416 pp. (Ukrainian)  mathscinet
    [4] Gurzhii, A. A., Konstantinov, M. Yu., and Meleshko, V. V., “Interaction of Thin Coaxial Vortex Rings in an Ideal Fluid”, Dopovidi Akad. Nauk UkrSSR. Ser. A, 1987, no. 4, 40–44 (Ukrainian)  mathscinet
    [5] Gurzhii, A. A., Konstantinov, M. Yu., and Meleshko, V. V., “Interaction of Coaxial Vortex Rings in an Ideal Fluid”, Fluid Dyn., 23:2 (1988), 224–229  crossref  mathscinet  adsnasa; Izv. Akad. Nauk SSSR Mekh. Zidk. Gaza, 1988, no. 2, 78–84 (Russian)  mathscinet  adsnasa
    [6] Meleshko, V. V. and Konstantinov, M. Yu., “Collision of Two Collinear Pairs of Point Vortices in an Unbounded Ideal Fluid”, Dopovidi Akad. Nauk UkrSSR. Ser. A, 1988, no. 4, 33–37 (Ukrainian)  zmath
    [7] Meleshko, V. V. and Konovalyuk, T. P., “Interaction of Vortex Pair with Point Vortex in an Unbounded Ideal Fluid”, Dopovidi Akad. Nauk UkrSSR. Ser. A, 1988, no. 7, 41–45 (Ukrainian)  mathscinet
    [8] Meleshko, V. V. and Konstantinov, M. Yu., “Motion of Two Pairs of Point Vortices in an Ideal Fluid”, Gidromekhanika, 1988, no. 58, 52–55 (Russian)
    [9] Meleshko, V. V. and Konstantinov, M. Yu., “Motion of Vortex Ring Generated in an Ideal Fluid near Solid Walls”, Fluid Mech. Soviet Res., 20:3 (1991), 1–6  zmath; Gidromekhanika, 1989, no. 60, 56–60 (Russian)
    [10] Meleshko, V. V. and Konstantinov, M. Yu., “Order and Chaos in the Dynamics of the Coaxial Vortex Rings”, Proc. of the 4th Internat. Workshop on Nonlinear Physics and Turbulent Processes in Plasma (Kiev, 1989), v. 1, 561–571  zmath
    [11] Gurzhii, A. A. and Meleshko, V. V., “2D Motion That Particles of an Ideal Fluid Execute in the Velocity Field of a Vortex Pair”, Fluid Mech. Soviet Res., 21:1 (1992), 106–112; Gidromekhanika, 1990, no. 62, 60–64
    [12] Meleshko, V. V., Konstantinov, M. Yu., and Gurzhii, A. A., “Ordered and Chaotic Movement in the Dynamics of Three Coaxial Vortex Rings”, J. Math. Sci., 68:5 (1994), 711–714  crossref  mathscinet; Teoret. Prikl. Mekh., 1990, no. 21, 100–104 (Russian)
    [13] Isaeva, T. L. and Meleshko, V. V., “Advection of Particles under Closed Path Motion of Cylinder in an Ideal Fluid”, Dopovidi Akad. Nauk UkrSSR. Ser. A, 1991, no. 1, 20–22 (Ukrainian)
    [14] Meleshko, V. V. and Gurzhii, A. A., “Sound Radiation by Interaction of Coaxial Vortex Rings”, Proc. of the 11th All-Union Acoustical Conf.: Section G (Moscow, 1991), 51–54 (Russian)
    [15] Grinchenko, V. T., Isaeva, T. L., and Meleshko, V. V., “Two-Dimensional Flow of Viscous Liquid in a Rectangular Cavity at Low Reynolds Number”, Dopovidi Akad. Nauk UkrSSR. Ser. A, 1991, no. 8, 64–70 (Ukrainian)
    [16] Meleshko, V. V., Konstantinov, M. Yu., Gurzhi, A. A., and Konovaljuk, T. P., “Advection of a Vortex Pair Atmosphere in a Velocity Field of Point Vortices”, Phys. Fluids A, 4:12 (1992), 2779–2797  crossref  mathscinet  zmath  adsnasa
    [17] Meleshko, V. V. and Malyuga, V. S., “Regular and Chaotic Advection of Fluid Particles in a Cylinder due to a Vortex Pair Velocity Field”, Dopovidi Akad. Nauk Ukraine, 1993, no. 6, 59–64 (Ukrainian)  mathscinet  zmath
    [18] Meleshko, V. V., “Nonstirring of an Inviscid Fluid by a Point Vortex in a Rectangle”, Phys. Fluids, 6:1 (1994), 6–8  crossref  mathscinet  zmath  adsnasa
    [19] Meleshko, V. V. and van Heijst, G. J. F., “On Chaplygin's Investigations of Two-Dimensional Vortex Structures in an Inviscid Fluid”, J. Fluid Mech., 272 (1994), 157–182  crossref  mathscinet  zmath  adsnasa
    [20] Meleshko, V. V. and van Heijst, G. J. F., “Interacting Two-Dimensional Vortex Structures: Point Vortices, Contour Kinematics and Stirring Properties”, Chaos Solitons Fractals, 4:6 (1994), 977–1010  crossref  zmath  adsnasa
    [21] Meleshko, V. V. and Gurzhii, A. A., “Stirring of an Inviscid Fluid by Interacting Point Vortices”, Modelling of Oceanic Vortices, ed. G. J. F. van Heijst, Elsevier, Amsterdam, 1994, 271–281
    [22] Gurzhii, A. A. and Meleshko, V. V., “Sound Emission by a System of Vortex Rings”, Acoust. Phys., 42:1 (1996), 43–50  adsnasa; Akust. Zh., 42:1 (1996), 53–61 (Russian)
    [23] Meleshko, V. V. and Peters, G. W. M., “Periodic Points for Two-Dimensional Stokes Flow in a Rectangular Cavity”, Phys. Lett. A, 216:1–5 (1996), 87–96  crossref  zmath  adsnasa
    [24] van Geffen, J. H. G. M., Meleshko, V. V., and van Heijst, G. J. F., “Motion of a Two-Dimensional Monopolar Vortex in a Bounded Rectangular Domain”, Phys. Fluids, 8:9 (1996), 2393–2399  crossref  mathscinet  zmath  adsnasa
    [25] Meleshko, V. V., “Steady Stokes Flow in a Rectangular Cavity”, Proc. R. Soc. A, 452:1952 (1996), 1999–2022  crossref  zmath  adsnasa
    [26] Meleshko, V. V. and Aref, H., “A Blinking Rotlet Model for Chaotic Advection”, Phys. Fluids, 8:12 (1996), 3215–3217  crossref  zmath  adsnasa; Phys. Fluids, 10:6 (1998), 1543  crossref  adsnasa
    [27] Konovalyuk, T. P. and Meleshko, V. V., “Sound Radiation by the Point Vortex System”, Gidromekhanika, 70 (1996), 41–52 (Russian)
    [28] Vosbeek, P. W. C., van Geffen, J. H. G. M., Meleshko, V. V., and van Heijst, G. J. F., “Collapse Interactions of Finite-Sized Two-Dimensional Vortices”, Phys. Fluids, 9:11 (1997), 3315–3322  crossref  mathscinet  zmath  adsnasa
    [29] Meleshko, V. V., Galaktionov, O. S., Peters, G. W. M., and Meijer, H. E. H., “Three-Dimensional Mixing in Stokes Flow: The Partitioned Pipe Mixer Problem Revisited”, Eur. J. Mech. B Fluids, 18:5 (1999), 783–792  crossref  mathscinet  zmath; Eur. J. Mech. B Fluids, 19:4 (2000), 529  crossref  mathscinet  zmath
    [30] Krasnopolskaya, T. S., Meleshko, V. V., Peters, G. W. M., and Meijer, H. E. H., “Mixing in Stokes Flow in an Annular Wedge Cavity”, Eur. J. Mech. B Fluids, 18:5 (1999), 793–822  crossref  mathscinet  zmath
    [31] Aref, H., Dunaeva, T. A., and Meleshko, V. V., “Chaotic Advection by Two-Dimensional Stokes Flow in Circle”, Int. J. Fluid Mech. Res., 29:5 (2002), 525–533  mathscinet; Prikl. Gidromekhanika, 2(74):1 (2000), 3–9 (Russian)  mathscinet  zmath
    [32] Meleshko, V. V. and van Heijst, G. J. F., “Two Approaches to the Analysis of the Coaxial Interaction of Vortex Rings”, Prikl. Gidromekh., 2(74):3 (2000), 53–59 (Russian); Grinchenko, V. T., Meleshko, V. V., Gourjii, A. A., Eisenga, A. E. M., and van Heijst, G. J. F., “Two Approaches to the Analysis of the Coaxial Interaction of Vortex Rings”, Int. J. Fluid Mech. Res., 30:2 (2003), 166–183  crossref  mathscinet
    [33] Meleshko, V. V., Gurzhi, A. A., Doernbrack, A., Gerz, T., Holzäpfel, F., and Hofbauer, T., “Interaction of Two-Dimensional Trailing Vortex Pair with a Shear Layer”, Int. Appl. Mech., 37:7 (2001), 948–957  crossref  zmath; Prikl. Mekh., 37:7 (2001), 128–136 (Russian)  zmath
    [34] Malyuga, V. S., Meleshko, V. V., Speetjens, M. F. M., Clercx, H. J. H., and van Heijst, G. J. F., “Mixing in the Stokes Flow in a Cylindrical Container”, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 458:2024 (2002), 1867–1885  crossref  mathscinet  adsnasa
    [35] Shankar, P. N., Meleshko, V. V., and Nikiforovich, E. I., “Slow Mixed Convection in Rectangular Containers”, J. Fluid Mech., 471 (2002), 203–217  crossref  mathscinet  zmath  adsnasa; Shankar, P. N., Meleshko, V. V., and Nikiforovich, E. I., “Corrigendum: “Slow Mixed Convection in Rectangular Containers””, J. Fluid Mech., 495 (2003), 412  crossref  mathscinet  zmath  adsnasa
    [36] Gurzhii, A. A., Meleshko, V. V., and van Heijst, G. J. F., “Regular and chaotic mixing of fluid in a cylinder by vortex pair”, Fundamental and Applied Problems of the Vortex Theory, eds. A. V. Borisov, I. S. Mamaev, M. A. Sokolovskiy, R&C Dynamics, Institute of Computer Science, Izhevsk, 2003, 441–467 (Russian)  mathscinet
    [37] Meleshko, V. V. and van Heijst, G. J. F., “Mixing of Viscous Fluid in a Rectangular Cavity”, Mat. Metody Fiz.-Mekh. Polya, 49:1 (2006), 43–52 (Ukrainian)  mathscinet  zmath
    [38] Gourjii, A. A., Meleshko, V. V., Nikiforovich, E. I., and Adrian, R. J., “Dynamics of Hairpin Vortex Packets in Wall Turbulence”, Prikl. Gidromekh., 8:2 (2006), 26–49 (Russian)  mathscinet
    [39] Meleshko, V. V. and Aref, H., “A Bibliography of Vortex Dynamics 1858–1956”, Adv. Appl. Mech., 41 (2007), 197–292  crossref
    [40] Meleshko, V. V., “On Chaplygin's Investigations on Vortex Dynamics”, Regul. Chaotic Dyn., 12:1 (2007), 111–116  mathscinet
    [41] Meleshko, V. V. and van Heijst, G. J. F., “On Chaplygin's Investigations on Coherent Vortex Structures”, Regul. Chaotic Dyn., 12:2 (2007), 219–232  crossref  mathscinet  zmath
    [42] Meleshko, V. V., Gourjii, A. A., and Bezym'yana, E. M., “Electro-Osmotic Flows of Viscous Fluid in a Rectangular Cavity”, Mat. Metody Fiz.-Mekh. Polya, 50:1 (2007), 107–116 (Ukrainian)  mathscinet  zmath
    [43] Gourjii, A. A. and Meleshko, V. V., “Process of Mixing of Passive Fluid by a Vortex Ring behind a Sphere”, Prikl. Gidromekh., 9:1 (2007), 23–35 (Russian)
    [44] Berning, R., Gourjii, A. A., and Meleshko, V. V., “Mixing of Viscous Fluid in a Rectangular Microchannel”, Mat. Metody Fiz.-Mekh. Polya, 50:4 (2007), 140–148 (Ukrainian)  mathscinet  zmath
    [45] Aref, H., Meleshko, V. V., Guba, A. A., and Gourjii, A. A., “Uniformly-Rotating Configurations of Point Vortices”, Prikl. Gidromekh., 9:3–4 (2007), 3–22 (Russian)
    [46] van der Woude, D., Clercx, H. J. H., van Heijst, G. J. F., and Meleshko, V. V., “Stokes Flow in a Rectangular Cavity by Rotlet Forcing”, Phys. Fluids, 19:8 (2007), 083602, 19 pp.  crossref  zmath  adsnasa
    [47] Gourjii, A. A., Meleshko, V. V., Krasnopolskaya, T. S., Zannetti, L., van Heijst, G. J. F., and Konovalyuk, T. P., “Mixing by Two-Dimensional Periodic Flows”, Prikl. Gidromekh., 10:1 (2008), 10–22 (Russian)
    [48] Meleshko, V. V., Newton, P. K., and Ostrovs’kyi, V. V., “Stability of the Configurations of Point Vortices on a Sphere”, J. Math. Sci., 171:5 (2010), 603–619  crossref  mathscinet; Mat. Metody Fiz.-Mekh. Polya, 52:3 (2009), 146–159 (Russian)  mathscinet  zmath
    [49] Meleshko, V. V., “Coaxial Vortex Rings: 150 Years after Helmholtz”, Theor. Comput. Fluid Dyn., 24:1–4 (2010), 403–431  crossref  zmath
    [50] Meleshko, V. V., Gourjii, A. A., and Krasnopolskaya, T. S., “Vortex Rings: History and State of the Art”, J. Math. Sci., 187:6 (2012), 772–808  crossref  mathscinet; Mat. Metody Fiz.-Mekh. Polya, 54:4 (2011), 184–214 (Russian)  zmath
    [51] van Heijst, G. J. F., “To the Memory of Vycheslav Vladimirovich Meleshko”, J. Math. Sci., 198:2 (2014), 217–234  crossref  mathscinet; Mat. Metody Fiz.-Mekh. Polya, 53:4 (2012), 171–187 (Russain)  mathscinet
    [52] Speetjens, M. F. M., Meleshko, V. V., and van Heijst, G. J. F., “Spectral Analysis of Point-Vortex Dynamics: First Application to Vortex Polygons in a Circular Domain”, Fluid Dynam. Res., 46:3 (2014), 031402, 20 pp.  crossref  mathscinet  zmath  adsnasa
    [53] Aref, H., Blake, J. R., Budišić, M., Cardoso, S. S. S., Cartwright, J. H. E., Clercx, H. J. H., El Omari, K., Feudel, U., Golestanian, R., Gouillart, E., van Heijst, G. J. F., Krasnopolskaya, T. S., Le Guer, Y., MacKay, R. S., Meleshko, V. V., Metcalfe, G.  Mezić, I., de Moura, A. P. S., Piro, O., Speetjens, M. F. M., Sturman, R., Thiffeault, J.-L., and Tuval, I., “Frontiers of Chaotic Advection”, Rev. Modern Phys., 89:2 (2017), 025007, 66 pp.  crossref  mathscinet  adsnasa



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