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1) Faltinsen, O.M., Rognebakke, O.F., Lukovsky, I.A., Timokha, A.N.Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth(2000) Journal of Fluid Mechanics, 407, pp. 201-234. Cited 213 times.

Document Type: ArticleSource: Scopus

2) Faltinsen, O.M., Timokha, A.N.An adaptive multimodal approach to nonlinear sloshing in a rectangular tank(2001) Journal of Fluid Mechanics, 432, pp. 167-200. Cited 130 times.


3) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Resonant three-dimensional nonlinear sloshing in a square-base basin(2003) Journal of Fluid Mechanics, (487), pp. 1-42. Cited 97 times.

DOI: 10.1017/S0022112003004816


4) Faltinsen, O.M., Timokha, A.N.Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depth(2002) Journal of Fluid Mechanics, 470, pp. 319-357. Cited 97 times.

DOI: 10.1017/S0022112002002112


5) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Classification of three-dimensional nonlinear sloshing in a square-base tank with finite depth(2005) Journal of Fluids and Structures, 20 (1), pp. 81-103. Cited 58 times.

DOI: 10.1016/j.jfluidstructs.2004.08.001


6) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 2. Effect of higher modes(2005) Journal of Fluid Mechanics, 523, pp. 199-218. Cited 47 times.

DOI: 10.1017/S002211200400196X


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7) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Two-dimensional resonant piston-like sloshing in a moonpool(2007) Journal of Fluid Mechanics, 575, pp. 359-397. Cited 44 times.

DOI: 10.1017/S002211200600440X


8) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base tank with a finitefluid depth(2006) Physics of Fluids, 18 (1), art. no. 012103, . Cited 32 times.

DOI: 10.1063/1.2160522


9) Gavrilyuk, I., Lukovsky, I., Trotsenko, Yu., Timokha, A.Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions(2006) Journal of Engineering Mathematics, 54 (1), pp. 71-88. Cited 28 times.

DOI: 10.1007/s10665-005-9001-6


10) Faltinsen, O.M., Firoozkoohi, R., Timokha, A.N.Steady-state liquid sloshing in a rectangular tank with a slat-type screen in the middle: Quasilinear modal analysisand experiments(2011) Physics of Fluids, 23 (4), art. no. 042101, . Cited 26 times.

DOI: 10.1063/1.3562310


11) Faltinsen, O.M., Timokha, A.N.A multimodal method for liquid sloshing in a two-dimensional circular tank(2010) Journal of Fluid Mechanics, 665, pp. 457-479. Cited 26 times.

DOI: 10.1017/S002211201000412X


12) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 3. Base ratio perturbations(2006) Journal of Fluid Mechanics, 551, pp. 93-116. Cited 21 times.

DOI: 10.1017/S0022112005008281


13) Faltinsen, O.M., Firoozkoohi, R., Timokha, A.N.Analytical modeling of liquid sloshing in a two-dimensional rectangular tank with a slat screen(2011) Journal of Engineering Mathematics, 70 (1-3), pp. 93-109. Cited 20 times.

DOI: 10.1007/s10665-010-9397-5

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14) Gavrilyuk, I.P., Lukovsky, I.A., Timokha, A.N.Linear and nonlinear sloshing in a circular conical tank(2005) Fluid Dynamics Research, 37 (6), pp. 399-429. Cited 19 times.

DOI: 10.1016/j.fluiddyn.2005.08.004


15) Faltinsen, O.M., Timokha, A.N.Natural sloshing frequencies and modes in a rectangular tank with a slat-type screen(2011) Journal of Sound and Vibration, 330 (7), pp. 1490-1503. Cited 18 times.

DOI: 10.1016/j.jsv.2010.10.002


16) Lukovsky, I.A., Timokha, A.N.Modal Modeling of Nonlinear Fluid Sloshing in Tanks with Non-Vertical Walls. Non-Conformal Mapping Technique(2002) International Journal of Fluid Mechanics Research, 29 (2), pp. 216-242. Cited 13 times.


17) Faltinsen, O.M., Timokha, A.N.On sloshing modes in a circular tank(2012) Journal of Fluid Mechanics, 695, pp. 467-477. Cited 11 times.

DOI: 10.1017/jfm.2012.38


18) Faltinsen, O.M., Firoozkoohi, R., Timokha, A.N.Effect of central slotted screen with a high solidity ratio on the secondary resonance phenomenon for liquidsloshing in a rectangular tank(2011) Physics of Fluids, 23 (6), art. no. 062106, . Cited 10 times.

DOI: 10.1063/1.3602508


19) Gavrilyuk, I., Hermann, M., Lukovsky, I., Solodun, O., Timokha, A.Natural sloshing frequencies in rigid truncated conical tanks(2008) Engineering Computations (Swansea, Wales), 25 (6), pp. 518-540. Cited 10 times.

DOI: 10.1108/02644400810891535


20) Gavrilyuk, I., Lukovsky, I., Trotsenko, Yu., Timokha, A.Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves(2007) Journal of Engineering Mathematics, 57 (1), pp. 57-78. Cited 10 times.

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DOI: 10.1007/s10665-006-9071-0


21) Faltinsen, O.M., Timokha, A.N.Multimodal analysis of weakly nonlinear sloshing in a spherical tank(2013) Journal of Fluid Mechanics, 719, pp. 129-164. Cited 9 times.

DOI: 10.1017/jfm.2012.635


22) Faltinsen, O.M., Timokha, A.N.Analytically approximate natural sloshing modes for a spherical tank shape(2012) Journal of Fluid Mechanics, 703, pp. 391-401. Cited 9 times.

DOI: 10.1017/jfm.2012.237


23) Hermann, M., Timokha, A.Modal modelling of the nonlinear resonant fluid sloshing in a rectangular tank I: A single-dominant model(2005) Mathematical Models and Methods in Applied Sciences, 15 (9), pp. 1431-1458. Cited 9 times.

DOI: 10.1142/S0218202505000777


24) Faltinsen, O.M., Timokha, A.N.Analytically approximate natural sloshing modes and frequencies in two-dimensional tanks(2014) European Journal of Mechanics, B/Fluids, 47, pp. 176-187. Cited 8 times.

DOI: 10.1016/j.euromechflu.2014.01.005


25) Lukovsky, I., Ovchynnykov, D., Timokha, A.Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I. Modalequations(2012) Nonlinear Oscillations, 14 (4), pp. 512-525. Cited 8 times.

DOI: 10.1007/s11072-012-0173-5


26) Gavrilyuk, I., Lukovsky, I., Timokha, A.Two-dimensional variational vibroequilibria and Faraday's drops(2004) Zeitschrift fur Angewandte Mathematik und Physik, 55 (6), pp. 1015-1033. Cited 7 times.

DOI: 10.1007/s00033-004-2092-5




27) Hermann, M., Timokha, A.Modal modelling of the nonlinear resonant fluid sloshing in a rectangular tank II: Secondary resonance(2008) Mathematical Models and Methods in Applied Sciences, 18 (11), pp. 1845-1867. Cited 6 times.

DOI: 10.1142/S0218202508003212


28) Barnyak, M., Gavrilyuk, I., Hermann, M., Timokha, A.Analytical velocity potentials in cells with a rigid spherical wall(2011) ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 91 (1), pp. 38-45. Cited 5 times.

DOI: 10.1002/zamm.201000078


29) Beyer, K., Gawriljuk, I., Günther, M., Lukovsky, I., Timokha, A.Compressible potential flows with free boundaries. Part I: Vibrocapillary equilibria(2001) ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 81 (4), pp. 261-271. Cited 5 times.


30) Lukovskii, I.A., Timokha, A.N.On an acoustic action on a free surface of a limited liquid volume(1991) Akusticheskii Zurnal, 37 (1), pp. 144-149. Cited 4 times.


31) Gavrilyuk, I.P., Hermann, M., Lukovsky, I.A., Solodun, O.V., Timokha, A.N.Weakly nonlinear sloshing in a truncated circular conical tank(2013) Fluid Dynamics Research, 45 (5), art. no. 055512, . Cited 3 times.

DOI: 10.1088/0169-5983/45/5/055512


32) Gavrilyuk, I., Hermann, M., Lukovsky, I., Solodun, O., Timokha, A.Multimodal method for linear liquid sloshing in a rigid tapered conical tank(2012) Engineering Computations (Swansea, Wales), 29 (2), pp. 198-220. Cited 3 times.

DOI: 10.1108/02644401211206052


33) Gavrilyuk, I., Hermann, M., Trotsenko, Y., Timokha, A.Eigenoscillations of three- and two-element flexible systems(2010) International Journal of Solids and Structures, 47 (14-15), pp. 1857-1870. Cited 3 times.

DOI: 10.1016/j.ijsolstr.2010.03.021




34) Lukovskij, I.A., Timokha, A.N.Asymptotic and variational methods in non-linear problems of interaction of surface waves with acoustic fields(2001) Prikladnaya Matematika i Mekhanika, 65 (3), pp. 477-485. Cited 3 times.


35) Faltinsen, O.M., Timokha, A.N.On damping of two-dimensional piston-mode sloshing in a rectangular moonpool under forced heave motions(2015) Journal of Fluid Mechanics, 772, p. R1. Cited 2 times.

DOI: 10.1017/jfm.2015.234


36) Timokha, A.N.Planimetry of vibrocapillary equilibria at small wave numbers(2005) International Journal of Fluid Mechanics Research, 32 (4), pp. 454-487. Cited 2 times.

DOI: 10.1615/InterJFluidMechRes.v32.i4.50

Document Type: ReviewSource: Scopus

37) Limarchenko, O.S., Lukovskij, I.A., Timokha, A.N.Nonlinear models in applied problems on dynamics of bodies with free-surface liquid(1992) Prikladnaya Mekhanika, 28 (11), pp. 75-83. Cited 2 times.


38) Limarchenko, O.S., Lukovskii, I.A., Timokha, A.N.Nonlinear models in applied dynamics problems of bodies with a free surface liquid(1992) International Applied Mechanics, 28 (11), pp. 757-763. Cited 2 times.

DOI: 10.1007/BF00847311


39) Lukovskii, I.A., Timokha, A.N.Bateman variational principle for a class of problems of dynamics and stability of surface waves(1991) Ukrainian Mathematical Journal, 43 (9), pp. 1106-1110. Cited 2 times.

DOI: 10.1007/BF01089210


40) Gavrilyuk, I., Hermann, M., Trotsenko, V., Trotsenko, Y., Timokha, A.Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution(2014) Journal of Engineering Mathematics, 85 (1), pp. 83-97. Cited 1 time.

DOI: 10.1007/s10665-013-9626-9




41) Gavrilyuk, I., Hermann, M., Trotsenko, Y., Timokha, A.Studying the coupled eigenoscillations of an axisymmetric tower-elevated tank system by the multimodal method(2013) Journal of Fluids and Structures, 42, pp. 152-165. Cited 1 time.

DOI: 10.1016/j.jfluidstructs.2013.06.002


42) Gavrilyuk, I., Hermann, M., Trotsenko, V., Trotsenko, Y., Timokha, A.Axisymmetric oscillations of a cupola-shaped shell(2010) Journal of Engineering Mathematics, 68 (2), pp. 165-178. Cited 1 time.

DOI: 10.1007/s10665-010-9372-1


43) Lukovsky, I.A., Timokha, A.N.Sound effect on dynamics and stability of fluid sloshing in zero-gravity(2001) International Journal of Fluid Mechanics Research, 28 (1-2), pp. 19-41. Cited 1 time.


44) Lukovskii, I.A., Timokha, A.N.Variational formulations of nonlinear boundary-value problems with a free boundary in the theory of interaction ofsurface waves with acoustic fields(1993) Ukrainian Mathematical Journal, 45 (12), pp. 1849-1860. Cited 1 time.

DOI: 10.1007/BF01061355


45) Lukovskii, I.A., Timokha, A.N.A class of boundary value problems in the theory of surface waves(1991) Ukrainian Mathematical Journal, 43 (3), pp. 322-328. Cited 1 time.

DOI: 10.1007/BF01060842


46) Faltinsen, O.M., Lukovsky, I.A., Timokha, A.N.Resonant sloshing in an upright annular tank(2016) Journal of Fluid Mechanics, 804, pp. 608-645.

DOI: 10.1017/jfm.2016.539


47) Timokha, A.Analytically approximate natural sloshing modes and frequencies for an upright circular container with poles(2016) Journal of Engineering Mathematics, pp. 1-8. Article in Press.

DOI: 10.1007/s10665-016-9845-y

Document Type: Article in PressSource: Scopus



48) Faltinsen, O.M., Timokha, A.N.Undamped eigenperiods of a sea-based gravity monotower(2015) Applied Mathematical Modelling, . Article in Press.

DOI: 10.1016/j.apm.2016.04.003

Document Type: Article in PressSource: Scopus

49) Faltinsen, O.M., Timokha, A.N.Nonlinear sloshing in a spherical tank(2013) Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE, 9, art.no. V009T12A001, .

DOI: 10.1115/OMAE2013-10036

Document Type: Conference PaperSource: Scopus

50) Lukovskii, I.A., Timokha, A.N.Asymptotic and variational methods in non-linear problems of the interaction of surface waves with acoustic fields(2001) Journal of Applied Mathematics and Mechanics, 65 (3), pp. 463-470.

DOI: 10.1016/S0021-8928(01)00052-1


51) Timokha, A.N.On sound effect on character of inherent oscillations of liquid-gas interface surface in a limited volume(1993) Akusticheskij Zhurnal, 39 (2), pp. 357-361.


52) Lukovskiy, I.A., Timokha, A.N.Nonlinear dynamics of a gas-liquid system under high frequency acoustic vibrations(1992) Fluid Mechanics Research, 21 (6), pp. 124-130.


53) Lukovskii, I.A., Timokha, A.N.Stabilization of liquid-gas interface in the presence of interaction with acoustic fields in the gas(1991) Fluid Dynamics, 26 (3), pp. 382-388.

DOI: 10.1007/BF01059009


54) Lukovskii, I.A., Timokha, A.N.A class of boundary value problems in the theory of surface waves(1991) Ukrainian Mathematical Journal, 43 (4), pp. 322-328.

DOI: 10.1007/BF01670073

Document Type: Article



Source: Scopus

55) Lukovskii, I.A., Timokha, A.N.Self-adjointness of a certain integrodifferential operator(1990) Ukrainian Mathematical Journal, 42 (3), pp. 375-376.

DOI: 10.1007/BF01057029


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Page 1 of 13https://www.scopus.com/citation/print.uri?origin=resultslist&s…162&src=dm&stateKey=OFD_741855013&eid=&sort=cp-f&clickedLink=

1) Faltinsen, O.M., Timokha, A.N.(2009) Sloshing, . Cited 273 times.


2) Gavrilyuk, I., Lukovsky, I.A., Timokha, A.N.A multimodal approach to nonlinear sloshing in a circular cylindrical tank(2000) Hybrid Methods in Engineering, 2 (4), pp. 463-483. Cited 17 times.


3) Lukovsky, I.A., Timokha, A.N.(1995) Variational Methods in Nonlinear Dynamics of a Limited Liquid Volume, . Cited 15 times.


4) Faltinsen, O.M., Timokha, A.N.Analytically-oriented approaches to two-dimensional fluid sloshing in a rectangular tank (survey)(2002) Proc. Insti. Maths Ukrainian Natl. Acad. Sci. "Problems of Analytical Mechanics and Its Applications", 44, pp. 321-345. Cited 8 times.


5) Faltinsen, O.M., Timokha, A.N.(2009) Sloshing[M], . Cited 5 times.


6) Lukovsky, I.A., Timokha, A.N.Nonlinear theory of liquid sloshing in moving empties. Classical and non-classical problems(1999) Book "Problems of Analytical Mechanics and Its Applications", 26, pp. 169-200. Cited 5 times.


7) Lukovskii, I.A., Timokha, A.N.On free oscillations of a “fluid-gas” system in a cylindrical container in a weak gravitational field(1986) Direct Methods in Problems of Dynamics and Stability of Multi-Dimensional Systems [in Russian], pp. 5-12. Cited 5times.


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Source: Scopus

8) Faltinsen, O.M., Timokha, A.N.Sloshing with ship applications(2009) IMAM 2009, . Cited 4 times.


9) Lukovskii, I.A., Timokha, A.N.On the problem of the control of a free surface of a bounded volume of fluid with the aid of sound(1989) Dokl. Akad. Nauk Ukr. SSR, Ser. A, 7, pp. 52-55. Cited 4 times.


10) Gavrilyuk, I., Lukovsky, I., Makarov, V., Timokha, A.(2006) Evolutional Problems of the Contained Fluid, p. 233. Cited 3 times.


11) Lukovsky, I.A., Timokha, A.N.Steady-state nonlinear sloshing in a rectangular tank: Passage to shallow water(2000) Reports of National Academy of Sciences of Ukraine, pp. 48-51. Cited 3 times.


12) Faltinsen, O.M., Firoozkoohi, R., Timokha, A.N.Analytical modeling of liquid sloshing in a two-dimensional rectangular tank with a slat screen(2010) J Eng Math, 9, pp. 93-109. Cited 2 times.


13) Faltinsen, O.M., Timokha, A.N.Natural sloshing frequencies and modes in a rectangular tank with a slat-type screen(2010) J. Sound Vib., . Cited 2 times.


14) Faltinsen, O.M., Timokha, A.N.(2009) Sloshing (Hydrodynamics), . Cited 2 times.


15) Gavrilyuk, I., Timokha, A.A Nyström-Kress scheme for a Dirichlet-Neumann boundary value problem associated with fluid sloshing in arectangular tank(2003) Proceeding of the Institute of Mathematics of NASU, 47, pp. 284-301. Cited 2 times.




16) Timokha, A.N.Note on ad hoc computing based upon a modal basis(2002) Proceedings of the Institute of Mathematics of the Ukrainian National Academy of Sciences, 44, pp. 269-274. Cited 2times.


17) Faltinsen, O.M., Timokha, A.M.Adaptive multimodal approach to nonlinear sloshing in a rectangular tank(2000) J Fluid Mech, . Cited 2 times.


18) Timokha, A.N.The effect of transverse vibrations of the container on the free surface of a liquid(1997) Tekh. Mekh, 5, pp. 33-41. Cited 2 times.


19) Lukovsky, I.A., Mikhailyuk, A.V., Timokha, A.M.On a variational criterion of stability of pseudoequilibrium forms(1996) Ukr. Math. J., 48 (11), pp. 1688-1695. Cited 2 times.


20) Lukovsky, I.A., Timokha, A.N.Waves on the liquid-gas free surface in limited volume in the presence of the acoustic field in gas(1992) Int. Series Numerical Math., 106, pp. 187-194. Cited 2 times.


21) Lukovskii, I.A., Timokha, A.N.Stabilization of a Separation Surface of a Liquid and a Gas during interaction with Acoustic Fields in a Gas(1991) Izv. Akad. Nauk SSSR. MZhG, 3, pp. 80-86. Cited 2 times.


22) Lukovskii, I.A., Timokha, A.N.One class of boundary value problems of the theory of surface waves(1991) Ukr. Math. J, 43 (3), p. 359. Cited 2 times.




23) Lukovskii, I.A., Timokha, A.N.On self-adjointness of an integro-differential operator(1990) Ukr. Mat. Zh., 42 (3), pp. 421-423. Cited 2 times.


24) Lukovsky, I., Timokha, A.Multimodal method in sloshing(2015) Nonlinear Oscillations, 18 (3), pp. 295-312. Cited 1 time.


25) Faltinsen, O.M., Timokha, A.(2014) Sloshing, . Cited 1 time.


26) Faltinsen, O., Timokha, A.Nonlinear sloshing in a spherical tank(2013) Proceedings of the 32nd International Conference on Ocean, Offshore and Arctic Engineering, . Cited 1 time.


27) Faltinsen, O.M., Timokha, A.N.Analytically approcximate natural sloshing modes for a spherical tanks shape(2012) J. Fluid Mech., 703, pp. 391-401. Cited 1 time.


28) Faltinsen, O.M., Firoozkoohi, R., Timokha, A.N.Analytical modelling of liquid sloshing in a two-dimensional rectangular tank with a slat screen(2011) Journal of Engineering Mathematics, 70, pp. 63-109. Cited 1 time.


29) Lukovsky, I.A., Timokha, A.N.Combining Narimanov-Moiseev' and Lukovsky-Miles' schemes for nonlinear liquid sloshing(2011) J. Numer. Appl. Maths, 105 (2), pp. 69-82. Cited 1 time.


30) Faltinsen, O.M., Firoozkoohi, R., Timokha, A.N.(2011) Phys. Fluids, 23, . Cited 1 time.




31) Faltinsen, O.M., Firoozkoohi, R., Timokha, A.N.Analytical modeling of liquid sloshing in a two-dimensional rectangular tank with a slat screen(2011) J. Eng. Math., . Cited 1 time.


32) Lukovsky, I.A., Timokha, A.N.Combining Narimanov-Moiseev and Lukovsky-Miles schemes for nonlinear liquid sloshing(2011) J. Num. Appl. Math., 105 (2), pp. 69-82. Cited 1 time.


33) Faltinsen, O.M., Timokha, A.Multimodal method for 2D sloshing in a circular tank(2011) Proceedings of the 26th International Workshop on Water Waves and Floating Bodies, . Cited 1 time.


34) Faltinsen, O.M., Timokha, A.N.Book review(2010) Journal of Fluids and Structures, 26, pp. 1042-1043. Cited 1 time.


35) Faltinsen, O.M., Timokha, A.N.Sloshing with marine and land-based applications(2010) ICHD2010, . Cited 1 time.


36) Faltinsen, O.M., Timokha, A.N.Sloshing(2009) Cambridge University Press, . Cited 1 time.


37) Faltinsen, O.M., Timokha, A.N.Sloshing with Ship Applications(2009) Proc Int Maritime Assoc of Mediterranean, Istanbul, 1, pp. 25-38. Cited 1 time.


38) Faltinsen, O.M., Timokha, A.N.



(2009) Sloshing: Cambridge Univ Pr, . Cited 1 time.


39) Faltinsen, O., Timokha, A.(2009) Sloshing (eq in p 282), . Cited 1 time.


40) Faltinsen, O.M., Timokha, A.N.(2009) Sloshing, Cambridge University Press, . Cited 1 time.


41) Faltinsen, O.M., Timokha, A.N.Sloshing(2009) Cambridge University, . Cited 1 time.


42) Lukovsky, I.A., Ovchynnykov, D.V., Timokha, A.N.Algorithm and computer code for derivation of nonlinear modal systems describing liquid sloshing in a cylindricaltank(2009) Proc. Inst. Math. Nat. Acad. Sci. Ukr., 6 (3), pp. 102-117. Cited 1 time.


43) Faltinsen, O.M., Timokha, A.Sloshing with ship applications(2009) Proceedings of the 13th International Conference of Association of the Mediterranean, . Cited 1 time.


44) Faltinsen, O.M., Timokha, A.Analytically-based solutions for linear sloshing(2009) Proceedings of the 25th International Workshop on Water Waves and Floating Bodies, . Cited 1 time.


45) Faltinsen, O., Timokha, A.(2009) Cambridge University Press Sloshing, . Cited 1 time.




46) Faltinsen, O.M., Timokha, A.N.(2009) Sloshing in Marine- and Land-Based Applications, . Cited 1 time.


47) Faltinsen, O.M., Timokha, A.N.Effect of Screens on Sloshing in a Rectangular Tank(2008) Proc 23rd Int Workshop Water Waves Floating Bodies, pp. 53-56. Cited 1 time.


48) Faltinsen, O.M., Timokha, A.N.Effect of screens on sloshing in a rectangular tank(2008) Proc. 23rd International Workshop on Water and Floating Bodies, . Cited 1 time.


49) Faltinsen Odd, M., Rognebakke, O.F., Timokha, A.N.Two-dimensional resonant piston-like sloshing in a moonpool(2007) Journal of Fluid Mechanics, 575, pp. 359-397. Cited 1 time.


50) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Two-dimensional resonant piston-like sloshing in a moonpool(2007) J. Fluid Mech., 575, pp. 359-397. Cited 1 time.


51) Faltinsen, O.M., Timokha, A.N., Rognebakke, O.F.Two-dimensional resonant piston-like sloshing in a moonpool. linear inviscid statement(2007) J. Fluid Mech, . Cited 1 time.


52) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base tank with a finitefluid depth(2006) Phys. Fluids, 18, p. 012103. Cited 1 time.


53) Faltinsen, O., Rognebakke, O., Timokha, A.(2006) Phys. Fluids, 18, . Cited 1 time.




Source: Scopus

54) Gavrilyuk, I., Hermann, M., Timokha, A., Trotsenko, V.Modelling of the eigenfield of a prestressed hyperelastic membrane encapsulating a liquid(2006) Comput. Methods Appl. Math., 6 (4), pp. 367-385. Cited 1 time.


55) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.(2006) Phys Fluids, 18, p. 012103. Cited 1 time.


56) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Resonant three-dimensional nonlinear sloshing in a square base basin. Part 3. Base ratio perturbations(2006) J. Fluid Mech., . Cited 1 time.


57) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 2. Effect of higher modes(2005) J. Fluid Mech, 523, pp. 199-218. Cited 1 time.


58) Timokha, A., Hermann, M.A finite-dimensional modal modelling of nonlinear resonant sloshing(2004) Proc. of the 19th European Conference on Mathematics for Industry, . Cited 1 time.


59) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Classification of three-dimensional nonlinear sloshing in a square-base tank with finite depth(2004) J. Fluids Struct., . Cited 1 time.


60) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.A modal system for classification and simulation of nonlinear sloshing in a near-square base tank with finite depth(2003) Proceedings of the 18th International Workshop on Water Waves and Floating Bodies, le Croisic: The InternationalWorkshop on Water Waves and Floating Bodies, 2003, pp. 1-4. Cited 1 time.


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63) Gavrilyuk, I., Lukovsky, I.A., Timokha, A.N.Nonlinear sloshing in a circular conical tank(2001) Hybrid Methods in Engineering, 3 (4), pp. 1-39. Cited 1 time.


64) Faltinsen, O.M., Timokha, A.N.Adaptive multimodal approach to nonlinear sloshing in a rectangular tank(2001) J. Fluid Mech., 432, pp. 169-220. Cited 1 time.


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66) Gavrilyuk, I., Lukovsky, I., Timokha, A.N.A multimodal approach to nonlinear sloshing in a circular cylindrical tank(2000) Hybrid Meth. Engng, 2 (4), pp. 463-483. Cited 1 time.


67) Lukovskii, I.A., Timokha, A.N.Modal modeling of nonlinear fluid sloshing in tanks with non-vertical walls: Non-conformal mapping technique(2000) Applied Hydromechanics (Prykl. Hydromechanika), 2 (74), pp. 432-447. Cited 1 time.


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70) Timokha, A.N.The effect of transverse vibrations of the container on the free surface of a liquid(1997) Tekh. Mekh., 5, pp. 33-41. Cited 1 time.


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72) Mikhayluk, A.V., Timokha, A.N.Variational formulations for a spectral problem with parameter on the interface of two mediums(1995) Dopov. Nats. Akad. Ukr. Mat. Prirodozn. Tekh. Nauki, 10 (45), pp. 38-40. Cited 1 time.


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74) Lukovsky, I.A., Timokha, A.N.Variational methods in nonlinear problems of the dynamics of a limited liquid volume(1995) Institute of Mathematics of NASU, ISBN 5-7702-1184-9, . Cited 1 time.


75) Lukovsky, I.A., Timokha, A.N.Variational Methods in Nonlinear Dynamics of a Limited Liquid Volume(1995) Institute of Mathematics, . Cited 1 time.


76) Timokha, A.N.(1992) Behavior of the Free Surface of a Liquid in a Finite Vibrating Container, . Cited 1 time.




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78) Timokha, A.N.(1992) The Behaviour of a Free Liquid Surface in a Vibrating Container, . Cited 1 time.


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80) Timokha, A.N.(1992) Behavior of Free Liquid Surface in a Vibrating Vessel, . Cited 1 time.


81) Timokha, A.N.Behaviour of the free surface of a fluid in a vibrating bounded vessel(1992) Preprint N 22, Akad. Nauk Ukrainy Inst. Mat., . Cited 1 time.


82) Lukovskii, I.A., Timokha, A.N.Stabilization of the interface between a liquid and a gas when there is interaction with acoustic fields in the gas(1991) Izv. Akad. Nauk SSSR. MZhG, 3, pp. 80-86. Cited 1 time.


83) Lukovskii, I.A., Timokha, A.N.Bateman's variational principle for a class of problems of dynamics and stability of surface waves(1991) Ukr. Mat. Zh., 43 (9), pp. 1181-1186. Cited 1 time.


84) Lukovskii, I.A., Timokha, A.N.On a class of boundary value problems in the theory of surface waves



(1991) Ukr. Mat. Zh., 43 (3), pp. 365-370. Cited 1 time.


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86) Lukovskii, I.A., Timokha, A.N.Variational formulation of a nonlinear problem with an unknown surface separating two regions(1989) Stability of Motion of Solid Bodies and Deformable Systems [in Russian], pp. 4-9. Cited 1 time.


87) Lukovskii, I.A., Timokha, A.N.Nonlinear dynamics of a liquid-gas, interface in the presence of a high-frequency acoustic field in the gas. Steady-state regimes(1988) Preprint No. 10 [in Russian], . Cited 1 time.


88) Lukovskii, I.A., Timokha, A.N.Nonlinear dynamics of the surface separating a liquid and a gas when a high-frequency acoustic field is present inthe gas. Stationary regimes of motion(1988) Preprint, Inst. of Math., . Cited 1 time.


89) Lukovskii, I.A., Timokha, A.N.(1988) Nonlinear dynamics of the surface of separation of a liquid and a gas with a high-frequency acoustic field present inthe gas. Stationary regimes of motion, . Cited 1 time.


90) Faltinsen, O.M., Rognebakke, O.F., Timokha, A.N.Resonant three-dimensional piston-like sloshing in a moonpool(1987) Jnl. Fluid Mechs, 575, p. 359. Cited 1 time.


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92) Lukovskii, I.A., Timokha, A.N.(1992), variational formulations of the problem of the interaction of a “liquid-gas” interface with acoustic fields inthe gas(0000) Math. Methods of Investigating Applied Problems of the Dynamics of Bodies Carrying a Liquid, pp. 3-10. Cited 1time.


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