Vyacheslav Vladimirovich Meleshko

Russian journal of nonlinear dynamics, Tome 14 (2018) no. 4, pp. 595-600.

Bibliographie

[1] Grinchenko, V. T. and Meleshko, V. V., Harmonic Oscillations and Waves in Elastic Bodies, Naukova Dumka, Kiev, 1981, 284 pp. (Russian) | MR | Zbl

[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) | MR

[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) | MR

[5] Izv. Akad. Nauk SSSR Mekh. Zidk. Gaza, 1988, no. 2, 78–84 (Russian) | DOI | MR

[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) | Zbl

[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) | MR

[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] Gidromekhanika, 1989, no. 60, 56–60 (Russian) | Zbl

[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 | Zbl

[11] Gidromekhanika, 1990, no. 62, 60–64

[12] Teoret. Prikl. Mekh., 1990, no. 21, 100–104 (Russian) | DOI | MR

[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 | DOI | MR | Zbl

[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) | MR | Zbl

[18] Meleshko, V. V., “Nonstirring of an Inviscid Fluid by a Point Vortex in a Rectangle”, Phys. Fluids, 6:1 (1994), 6–8 | DOI | MR | Zbl

[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 | DOI | MR | Zbl

[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 | DOI | Zbl

[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] 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 | DOI | Zbl

[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 | DOI | MR | Zbl

[25] Meleshko, V. V., “Steady Stokes Flow in a Rectangular Cavity”, Proc. R. Soc. A, 452:1952 (1996), 1999–2022 | DOI | Zbl

[26] Meleshko, V. V. and Aref, H., “A Blinking Rotlet Model for Chaotic Advection”, Phys. Fluids, 8:12 (1996), 3215–3217 ; Phys. Fluids, 10:6 (1998), 1543 | DOI | Zbl | DOI

[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 | DOI | MR | Zbl

[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 ; Eur. J. Mech. B Fluids, 19:4 (2000), 529 | DOI | MR | Zbl | DOI | MR | Zbl

[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 | DOI | MR | Zbl

[31] Prikl. Gidromekhanika, 2(74):1 (2000), 3–9 (Russian) | MR | MR | Zbl

[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 | DOI | MR

[33] Prikl. Mekh., 37:7 (2001), 128–136 (Russian) | DOI | Zbl

[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 | DOI | MR

[35] Shankar, P. N., Meleshko, V. V., and Nikiforovich, E. I., “Slow Mixed Convection in Rectangular Containers”, J. Fluid Mech., 471 (2002), 203–217 ; Shankar, P. N., Meleshko, V. V., and Nikiforovich, E. I., “Corrigendum: “Slow Mixed Convection in Rectangular Containers””, J. Fluid Mech., 495 (2003), 412 | DOI | MR | Zbl | DOI | MR | Zbl

[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 Dynamics, Institute of Computer Science, Izhevsk, 2003, 441–467 (Russian) | MR

[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) | MR | Zbl

[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) | MR

[39] Meleshko, V. V. and Aref, H., “A Bibliography of Vortex Dynamics 1858–1956”, Adv. Appl. Mech., 41 (2007), 197–292 | DOI

[40] Meleshko, V. V., “On Chaplygin's Investigations on Vortex Dynamics”, Regul. Chaotic Dyn., 12:1 (2007), 111–116 | MR

[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 | DOI | MR | Zbl

[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) | MR | Zbl

[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) | MR | Zbl

[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. | DOI | Zbl

[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] Mat. Metody Fiz.-Mekh. Polya, 52:3 (2009), 146–159 (Russian) | DOI | MR | MR | Zbl

[49] Meleshko, V. V., “Coaxial Vortex Rings: 150 Years after Helmholtz”, Theor. Comput. Fluid Dyn., 24:1–4 (2010), 403–431 | DOI | Zbl

[50] Mat. Metody Fiz.-Mekh. Polya, 54:4 (2011), 184–214 (Russian) | DOI | MR | Zbl

[51] Mat. Metody Fiz.-Mekh. Polya, 53:4 (2012), 171–187 (Russain) | DOI | MR | MR

[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. | DOI | MR | Zbl

[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. | DOI | MR