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YU. D. CHASHECHKIN ON INTERNAL WAVES (compiled by Bruno Voisin on 12 October 2007)

Emission of linear lee waves Three-dimensional waves from a sphere Makarov, S. A. & Chashechkin, Yu. D. (1981) Apparent internal waves in a fluid with exponential density distribution. J. Appl. Mech. Tech. Phys. 22 (6), 772­779. [Transl. from Zh. Prikl. Mekh. Tekh. Fiz. (6), 47­54.] Received 13 October 1980. Makarov, S. A. & Chashechkin, Yu. D. (1982) Coupled internal waves in a viscous incompressible fluid. Izv. Atmos. Ocean. Phys. 18 (9), 758­764. [Transl. from Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana 18 (9), 986­994.] Received 22 July 1981; revised 3 February 1982. Chashechkin, Yu. D. (1995) Small- and large-scale structures of the decaying turbulence in a continuously stratified liquid. In Small-Scale Structures in Three-Dimensional Hydrodynamic and Magnetohydrodynamic Turbulence (ed. M. Meneguzzi, A. Pouquet & P.-L. Sulem), pp. 205­212. Springer. Presented 10­13 January 1995. Smirnov, S. A. & Chashechkin, Yu. D. (1998) Internal lee (joined) waves at an arbitrary orientation of the incident flow. Izv. Atmos. Ocean. Phys. 34 (4), 475­482. [Transl. from Izv. Ross. Akad. Nauk Fiz. Atmos. Okeana 34 (4), 528­536.] Received 13 May 1997; revised 8 September 1997. Two-dimensional waves from a horizontal plate Chashechkin, Yu. D, Mitkin, V. V. & Bardakov, R. N. (2004) Fine structure of stratified flow around uniformly moving 2D obstacles in a continuously stratified fluid. In Shallow Flows (ed. G. H. Jirka & W. S. J. Uijttewaal), pp. 143­148. Balkema. Presented 16­18 June 2003. Chashechkin, Yu. D. & Bardakov, R. N. (2004) Two-dimensional attached internal waves and concomitant boundary layers. Dokl. Earth Sci. 397 (5), 677­681. [Transl. from Dokl. Ross. Akad. Nauk 396 (6), 813­818.] Presented 11 March 2004; received 12 March 2004. Chashechkin, Yu. D., Mitkin, V. V. & Bardakov, R. N. (2006) Streaky structures in the stratified flow over a horizontal strip. Dokl. Phys. 51 (8), 454­458. [Transl. from Dokl. Ross. Akad. Nauk 409 (6), 774­778.] Presented 8 December 2005; received 9 December 2005.

Emission of linear transient waves General case Chashechkin, Yu. D. & Makarov, S. A. (1984) Time-varying internal waves. Dokl. Earth Sci. Sect. 276 (3), 210­213. [Transl. from Dokl. Akad. Nauk SSSR 276 (5), 1246­1250.] Presented 23 September 1983. Fluid particle in a vertical wake Smirnov, S. A., Chashechkin, Yu. D. & Il'inykh, Yu. S. (1998) High-accuracy method for measuring profiles of buoyancy periods. Meas. Tech. 41 (6), 514­519. [Transl. from Izmer. Tekh. (6), 15­18.]

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Propagation of linear monochromatic waves Reflection Kistovich, Yu. V. & Chashechkin, Yu. D. (1993) Reflection of packets of internal waves from a plane rigid boundary. Izv. Atmos. Ocean. Phys. 29 (6), 796­801. [Transl. from Izv. Ross. Akad. Nauk Fiz. Atmos. Okeana 29 (6), 831­836.] Received 11 May 1993. Kistovich, Yu. V. & Chashechkin, Yu. D. (1994) Reflection of packets of internal waves from a rigid plane in a viscous fluid. Izv. Atmos. Ocean. Phys. 30 (6), 718­724. [Transl. from Izv. Ross. Akad. Nauk Fiz. Atmos. Okeana 30 (6), 752­758.] Received 27 July 1993. Kistovich, Yu. V. & Chashechkin, Yu. D. (1995) The reflection of beams of internal gravity waves at a flat rigid surface. J. Appl. Maths Mech. 59 (4), 579­585. [Transl. from Prikl. Mat. Mekh. 59 (4), 607­613.] Received 31 January 1994. Kistovich, Yu. V. & Chashechkin, Yu. D. (1995) Reflection of internal gravity wave packets from a flat, rigid surface. Trans. (Dokl.) Russ. Acad. Sci. Earth Sci. Sect. 339A (9), 189­194. [Transl. from Dokl. Ross. Akad. Nauk 337 (3), 401­404 (1994).] Presented 2 February 1994. Chashechkin, Yu. D. & Kistovich, Yu. V. (1995) Geometry and energetics of an internal wave beam. Dokl. Ross. Akad. Nauk 344 (5), 684­686 [in Russian]. Presented 29 December 1994; received 30 December 1994. Kistovich, Yu. V. & Chashechkin, Yu. D. (1997) Geometry and energetics of beams of internal waves. Izv. Atmos. Ocean. Phys. 33 (1), 36­41. [Transl. from Izv. Ross. Akad. Nauk Fiz. Atmos. Okeana 33 (1), 41­47.] Received 18 January 1995; revised 4 July 1995. Kistovich, Yu. V. & Chashechkin, Yu. D. (1998) Localized and volume internal waves in a stratified fluid contiguous to a mixed layer. J. Appl. Maths Mech. 62 (2), 237­241. [Transl. from Prikl. Mat. Mekh. 62 (2), 257­262.] Received 16 April 1996. Refraction Chashechkin, Yu. D. & Kistovich, Yu. V. (1998) Monochromatic internal waves in an arbitrarily stratified viscous fluid. Dokl. Earth Sci. 359 (2), 302­305. [Transl. from Dokl. Ross. Akad. Nauk 359 (1), 112­115.] Presented 18 November 1996; received 19 November 1996. Kistovich, Yu. V. & Chashechkin, Yu. D. (1998) Linear theory of the propagation of internal wave beams in an arbitrarily stratified liquid. J. Appl. Mech. Tech. Phys. 39 (5), 729­737. [Transl. from Prikl. Mekh. Tekh. Fiz. 39 (5), 88­98.] Received 19 December 1996. Dispersion Chashechkin, Yu. D. (2005) Mathematical and laboratory modelling of stratified flows. In New Trends in Continuum Mechanics (ed. M. Mihailescu-Suliciu), pp. 55­66. Theta Foundation. Presented 8­12 September 2003. Chashechkin, Yu. D. & Kistovich, A. V. (2004) Classification of three-dimensional periodic fluid flows. Dokl. Phys. 49 (3), 183­186. [Transl. from Dokl. Ross. Akad. Nauk 395 (1), 55­58.] Presented 22 October 2003; received 24 October 2003. Chashechkin, Yu. D., Baidulov, V. G. & Kistovich, A. V. (2006) Basic properties of free stratified flows. J. Engng Maths 55 (1­4), 313­338. Received 11 March 2004; accepted 14 February 2006.

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Emission of linear monochromatic waves 1st series: linear inviscid two-dimensional emission by a horizontal cylinder Makarov, S. A., Neklyudov, V. I. & Chashechkin, Yu. D. (1990) Spatial structure of two-dimensional monochromatic internal-wave beams in an exponentially stratified liquid. Izv. Atmos. Ocean. Phys. 26 (7), 548­554. [Transl. from Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana 26 (7), 744­755.] Received 7 March 1989; revised 6 June 1989. 2nd series: linear viscous two-dimensional emission by an inclined plate Chashechkin, Yu. D. & Kistovich, Yu. V. (1997) Generation of monochromatic internal waves: an exact solution and the force-source model. Phys. Dokl. 42 (7), 377­380. [Transl. from Dokl. Ross. Akad. Nauk 355 (1), 54­57.] Presented 12 March 1997; received 19 March 1997. Chashechkin, Yu. D. (2001) Geophysical turbulence: a theory and laboratory experiments. In Turbulent Mixing in Geophysical Flows (ed. P. F. Linden & J. M. Redondo), pp. 85­106. CIMNE. Presented 20­22 March 1997. Kistovich, Yu. V. & Chashechkin, Yu. D. (1999) Generation of monochromatic internal waves in a viscous fluid. J. Appl. Mech. Tech. Phys. 40 (6), 1020­1028. [Transl. from Prikl. Mekh. Tekh. Fiz. 40 (6), 31­40.] Received 25 May 1998; revised 10 August 1998. Il'inykh, Yu. to a certain Phys. 35 (5), Received 29 S., Kistovich, Yu. V. & Chashechkin, Yu. D. (1999) Comparison of an exact solution problem of periodic internal wave generation with experiment. Izv. Atmos. Ocean. 589­594. [Transl. from Izv. Ross. Akad. Nauk Fiz. Atmos. Okeana 35 (5), 649­655.] June 1998; revised 12 January 1999.

Kistovich, Yu. V. & Chashechkin, Yu. D. (1999) An exact solution of a linearized problem of the radiation of monochromatic internal waves in a viscous fluid. J. Appl. Maths Mech. 63 (4), 587­594. [Transl. from Prikl. Mat. Mekh. 63 (4), 611­619.] Received 15 November 1998. Kistovich, Yu. V. & Chashechkin, Yu. D. (2001) Generation of periodic internal waves by an oscillating strip of finite width. Dokl. Phys. 46 (9), 667­671. [Transl. from Dokl. Ross. Akad. Nauk 380 (1), 51­55.] Presented 26 March 2001; received 27 March 2001. 2nd series: linear viscous axisymmetric emission by a vertical cylinder Il'inykh, Yu. S., Smirnov, S. A. & Chashechkin, Yu. D. (1999) Excitation of harmonic internal waves in a viscous continuously stratified liquid. Fluid Dyn. 34 (6), 890­895. [Transl. from Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza (6), 141­148.] Received 25 December 1997. Kistovich, Yu. V. & Chashechkin, Yu. D. (2001) Some exactly solvable problems of the radiation of three-dimensional periodic internal waves. J. Appl. Mech. Tech. Phys. 42 (2), 228­236. [Transl. from Prikl. Mekh. Tekh. Fiz. 42 (2), 52­61.] Received 5 September 2000. Chashechkin, Yu. D. & Kistovich, A. V. (2003) Calculation of the structure of periodic flows in a continuously stratified fluid with allowance for diffusion. Dokl. Phys. 48 (12), 710­714. [Transl. from Dokl. Ross. Akad. Nauk 393 (6), 776­780.] Presented 11 June 2003; received 18 June 2003. 2nd series: synthesis Chashechkin, Yu. D., Kistovich, Yu. V. & Smirnov, S. A. (2001) Linear generation theory of 2D and 3D periodic internal waves in a viscous stratified fluid. Environmetrics 12 (1), 57­80. Received 26 March 1998; revised 19 November 1998. 3


3rd series: nonlinear viscous axisymmetric emission by a horizontal disk Kistovich, Yu. V. & Chashechkin, Yu. D. (1999) Nonlinear generation of periodic internal waves by a boundary-layer flow around a rotating axially symmetric body. Dokl. Phys. 44 (8), 573­576. [Transl. from Dokl. Ross. Akad. Nauk 367 (5), 636­639.] Presented 26 April 1999; received 27 April 1999. Chashechkin, Yu. D., Kistovich, Yu. V. & Il'inykh, Yu. S. (2000) Experimental study of the generation of periodic internal waves by the boundary layer on a rotating disk. Dokl. Phys. 45 (11), 627­631. [Transl. from Dokl. Ross. Akad. Nauk 375 (3), 338­342.] Presented 10 February 2000; received 11 February 2000. Il'inykh, Yu. S. & Chashechkin, Yu. D. (2004) Generation of periodic motions by a disk performing torsional oscillations in a viscous, continuously stratified fluid. Fluid Dyn. 39 (1), 148­161. [Transl. from Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza (1), 165­180.] Received 24 July 2002. 3rd series: nonlinear viscous two-dimensional emission by a vertical plate Kistovich, Yu. V. & Chashechkin, Yu. D. (2002) A new mechanism of the nonlinear generation of internal waves. Dokl. Phys. 47 (2), 163­167. [Transl. from Dokl. Ross. Akad. Nauk 382 (6), 772­ 776.] Presented 8 August 2001; received 27 August 2001. 4th series: linear viscous three-dimensional emission by an inclined plate Vasil'ev, A. Yu. & Chashechkin, Yu. D. (2003) The generation of beams of three-dimensional periodic internal waves in an exponentially stratified fluid. J. Appl. Maths Mech. 67 (3), 397­405. [Transl. from Prikl. Mat. Mekh. 67 (3), 442­452.] Received 18 September 2002. Chashechkin, Yu. D. & Vasil'ev, A. Yu. (2004) Generation of three-dimensional periodic internal waves by compact sources. Dokl. Phys. 49 (2), 122­126. [Transl. from Dokl. Ross. Akad. Nauk 394 (5), 621­625.] Presented 3 September 2003; received 5 September 2003. Vasil'ev, A. Yu. & Chashechkin, Yu. D. (2006) Generation of beams of three-dimensional periodic internal waves by sources of various types. J. Appl. Mech. Tech. Phys. 47 (3), 314­323. [Transl. from Prikl. Mekh. Tekh. Fiz. 47 (3), 12­23.] Received 15 February 2005; revised 18 August 2005. Vasil'ev, A. Yu. & Chashechkin, Yu. D. (2006) The generation of three-dimensional internal waves and attendant boundary layers in a viscous continuously stratified fluid. Construction of an analytical solution. Fluid Dyn. 41 (6), 949­956. [Transl. from Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza (6), 106­113.] Received 20 October 2005. 4th series: linear viscous three-dimensional emission by a vertical cylinder Davydova, M. A. & Chashechkin, Yu. D. (2004) The structure of three-dimensional periodic boundary layers in a continuously stratified fluid. J. Appl. Maths Mech. 68 (3), 391­397. [Transl. from Prikl. Mat. Mekh. 68 (3), 437­444.] Received 15 January 2003. 4th series: linear inviscid axisymmetric emission by a horizontal disk Chashechkin, Yu. D., Vasil'ev, A. Yu. & Bardakov, R. N. (2004) Fine structure of beams of a threedimensional periodic internal wave. Dokl. Earth Sci. 397A (6), 816­819. [Transl. from Dokl. Ross. Akad. Nauk 397 (3), 404­407.] Presented 11 March 2004; received 12 March 2004. Chashechkin, Yu. D. (2007) Visualization of singular components of periodic motions in a continuously stratified fluid. J. Vis. 10 (1), 17­20. Received 29 September 2006. 4


4th series: linear inviscid axisymmetric emission by a sphere Chashechkin, Yu. D. & Prikhod'ko, Yu. V. (2007) Regular and singular flow components for stimulated and free oscillations of a sphere in continuously stratified liquid. Dokl. Phys. 52 (5), 261­ 265. [Transl. from Dokl. Ross. Akad. Nauk 414 (1), 44­48.] Presented 17 August 2006; received 23 August 2006. 4th series: synthesis Chashechkin, Yu. D. (2005) Mathematical and laboratory modelling of stratified flows. In New Trends in Continuum Mechanics (ed. M. Mihailescu-Suliciu), pp. 55­66. Theta Foundation. Presented 8­12 September 2003. Chashechkin, Yu. D., Baidulov, V. G. & Kistovich, A. V. (2006) Basic properties of free stratified flows. J. Engng Maths 55 (1­4), 313­338. Received 11 March 2004; accepted 14 February 2006.

Nonlinear effects on monochromatic waves Emission and interaction Kistovich, A. V. & Chashechkin, Yu. D. (1991) Nonlinear interaction of two-dimensional packets of monochromatic internal waves. Izv. Atmos. Ocean. Phys. 27 (12), 946­951. [Transl. from Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana 27 (12), 1292­1301.] Received 15 July 1988; revised 15 March 1990. Kistovich, A. V., Neklyudov, V. I. & Chashechkin, Yu. D. (1990) Nonlinear two-dimensional internal waves generated by a periodically moving source in an exponentially stratified medium. Izv. Atmos. Ocean. Phys. 26 (10), 771­776. [Transl. from Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana 26 (10), 1051­1060.] Received 21 December 1988; revised 15 May 1989. Chashechkin, Yu. D. & Neklyudov, V. I. (1990) Nonlinear interaction of bundles of short twodimensional monochromatic internal waves in an exponentially stratified liquid. Trans. (Dokl.) Acad. Sci. USSR Earth Sci. Sect. 311 (2), 235­238. [Transl. from Dokl. Akad. Nauk SSSR 311 (4), 970­974.] Presented 3 May 1989; received 12 May 1989. Kistovich, A. V., Neklyudov, V. I. & Chashechkin, Yu. D. (1992) Nonlinear effects in the generation and interaction of packets of harmonic internal waves. Fluid Mech. Res. 21 (5), 117­122. [Transl. from Gidromekhanika 65, 3­6.] Propagation Kistovich, Yu. V. & Chashechkin, Yu. D. (2001) Mass transport and the force of a beam of twodimensional periodic internal waves. J. Appl. Maths Mech. 65 (2), 237­242. [Transl. from Prikl. Mat. Mekh. 65 (2), 244­250.] Received 23 May 2000. Baidulov, V. G., Kistovich, Yu. V. & Chashechkin, Yu. D. (2002) Properties of the exact wave-type solutions in the theory of stratified flows. J. Appl. Maths Mech. 66 (1), 65­70. [Transl. from Prikl. Mat. Mekh. 66 (1), 69­74.] Received 28 May 2001.

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Free oscillations Sphere Levitskii, V. V. & Chashechkin, Yu. D. (1999) Natural oscillations of a neutrally buoyant body in a continuously stratified fluid. Fluid Dyn. 34 (5), 641­651. [Transl. from Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza (5), 39­52.] Received 27 October 1997. Chashechkin, Yu. D. & Levitskii, V. V. (1999) Hydrodynamics of free oscillations of a sphere on the neutral-buoyancy horizon in continuously stratified fluid. Dokl. Phys. 44 (1), 48­53. [Transl. from Dokl. Ross. Akad. Nauk 364 (1), 52­56.] Presented 16 February 1998; received 17 February 1998. Chashechkin, Yu. D. & Levitskii, V. V. (2003) Pattern of flow around a sphere oscillating an neutrally buoyancy horizon in a continuously stratified fluid. J. Vis. 6 (1), 59­65. Received 27 July 2002; revised 27 September 2002. Cylinder Chashechkin, Yu. D. & Prikhod'ko, Yu. V. (2006) The structure of flows occurring under the free oscillations of a cylinder on the neutral-buoyancy horizon in a continuously stratified fluid. Dokl. Phys. 51 (4), 215­218. [Transl. from Dokl. Ross. Akad. Nauk 407 (5), 622­625.] Presented 12 August 2005; received 17 August 2005. Prikhod'ko, Yu. V. & Chashechkin, Yu. D. (2006) Hydrodynamics of natural oscillations of neutrally buoyant bodies in a layer of continuously stratified Fluid. Fluid Dyn. 41 (4), 545­554. [Transl. from Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza (4), 66­77.] Received 10 February 2006.

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