Timokha, A. N. The Bateman-type variational formalism for an acoustically-driven drop. (English) Zbl 07744773 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2023, No. 3, 17-22 (2023). MSC: 76U05 76B10 76B07 76M30 PDFBibTeX XMLCite \textit{A. N. Timokha}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2023, No. 3, 17--22 (2023; Zbl 07744773) Full Text: DOI
Miliaiev, Anton; Timokha, Alexander Viscous damping of steady-state resonant sloshing in a clean rectangular tank. (English) Zbl 1516.76013 J. Fluid Mech. 965, Paper No. R1, 11 p. (2023). MSC: 76B10 76M99 68T05 PDFBibTeX XMLCite \textit{A. Miliaiev} and \textit{A. Timokha}, J. Fluid Mech. 965, Paper No. R1, 11 p. (2023; Zbl 1516.76013) Full Text: DOI
Milyaev, A. O.; Timokha, A. N. Learning the single-dominant modal system on resonant sloshing in a rectangular tank. (English) Zbl 1524.76047 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 6, 46-53 (2022). MSC: 76B10 PDFBibTeX XMLCite \textit{A. O. Milyaev} and \textit{A. N. Timokha}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 6, 46--53 (2022; Zbl 1524.76047) Full Text: DOI
Lukovsky, I. A.; Timokha, A. N. A note on the variational formalism for sloshing with rotational flows in a rigid tank with unprescribed motion. (English) Zbl 1506.76196 Ukr. Math. J. 73, No. 10, 1580-1589 (2022) and Ukr. Mat. Zh. 73, No. 10, 1368-1376 (2021). MSC: 76U05 76B10 76B07 76M30 PDFBibTeX XMLCite \textit{I. A. Lukovsky} and \textit{A. N. Timokha}, Ukr. Math. J. 73, No. 10, 1580--1589 (2022; Zbl 1506.76196) Full Text: DOI
Lagodzinskyi, O. E.; Timokha, A. N. Counter- and co-directed swirling-type waves due to orbital excitations of a square-base tank. (English) Zbl 1499.76020 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 6, 45-51 (2021). MSC: 76B10 76D27 76B45 PDFBibTeX XMLCite \textit{O. E. Lagodzinskyi} and \textit{A. N. Timokha}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 6, 45--51 (2021; Zbl 1499.76020) Full Text: DOI
Raĭnovs’kyĭ, I. A.; Timokha, O. M. Damped steady-state resonant sloshing in a container of circular cross-section for arbitrary periodic nonparametric forcing. (Ukrainian. English summary) Zbl 1488.76013 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 3, 97-100 (2021). MSC: 76B10 PDFBibTeX XMLCite \textit{I. A. Raĭnovs'kyĭ} and \textit{O. M. Timokha}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 3, 97--100 (2021; Zbl 1488.76013) Full Text: DOI
Faltinsen, Odd M.; Timokha, Alexander N. Coupling between resonant sloshing and lateral motions of a two-dimensional rectangular tank. (English) Zbl 1486.76011 J. Fluid Mech. 916, Paper No. A60, 41 p. (2021). MSC: 76B10 76B07 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, J. Fluid Mech. 916, Paper No. A60, 41 p. (2021; Zbl 1486.76011) Full Text: DOI
Raynovskyy, Ihor; Timokha, Alexander Sloshing in upright circular containers. Theory, analytical solutions, and applications. (English) Zbl 1471.76002 Mathematics and Its Applications: Modelling, Engineering, and Social Sciences. Boca Raton, FL: CRC Press (ISBN 978-0-367-36289-8/hbk; 978-0-429-35671-1/ebook). 170 p. (2021). MSC: 76-02 76B10 76D33 76M99 PDFBibTeX XMLCite \textit{I. Raynovskyy} and \textit{A. Timokha}, Sloshing in upright circular containers. Theory, analytical solutions, and applications. Boca Raton, FL: CRC Press (2021; Zbl 1471.76002) Full Text: DOI
Faltinsen, Odd M.; Lagodzinskyi, Oleksandr E.; Timokha, Alexander N. Resonant three-dimensional nonlinear sloshing in a square base basin. V: Three-dimensional non-parametric tank forcing. (English) Zbl 1460.76077 J. Fluid Mech. 894, Paper No. A10, 42 p. (2020). MSC: 76B10 PDFBibTeX XMLCite \textit{O. M. Faltinsen} et al., J. Fluid Mech. 894, Paper No. A10, 42 p. (2020; Zbl 1460.76077) Full Text: DOI
Timokha, A. N. Adaptive Lukovsky’s formulas for the resulting hydrodynamic force and moment owing to sloshing in an upright circular tank. (English) Zbl 1463.76005 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 2, 188-208 (2019). MSC: 76B10 76U05 76B15 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 2, 188--208 (2019; Zbl 1463.76005) Full Text: Link
Timokha, A. N.; Tkachenko, E. M. Resonant steady-state sloshing in upright tanks performing a three-dimensional periodic motion. (English) Zbl 1449.76010 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 1, 214-217 (2019). MSC: 76B10 76D27 76B45 PDFBibTeX XMLCite \textit{A. N. Timokha} and \textit{E. M. Tkachenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 1, 214--217 (2019; Zbl 1449.76010)
Timokha, A. N.; Lahodzinskyi, O. E. Steady-state sloshing in an orbitally-forced square-base tank. (English) Zbl 1449.76009 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 1, 210-213 (2019). MSC: 76B10 76D27 PDFBibTeX XMLCite \textit{A. N. Timokha} and \textit{O. E. Lahodzinskyi}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 1, 210--213 (2019; Zbl 1449.76009)
Timokha, A. N. Nonlinear boundary-layer problems and laminar vortical streams generated by resonant sloshing in a tank with circular base. (English) Zbl 1425.76038 J. Math. Sci., New York 240, No. 3, 358-373 (2019) and Neliniĭni Kolyvannya 21, No. 1, 131-144 (2018). MSC: 76B10 35Q35 PDFBibTeX XMLCite \textit{A. N. Timokha}, J. Math. Sci., New York 240, No. 3, 358--373 (2019; Zbl 1425.76038) Full Text: DOI
Faltinsen, Odd M.; Timokha, Alexander N. An inviscid analysis of the Prandtl azimuthal mass transport during swirl-type sloshing. (English) Zbl 1415.76053 J. Fluid Mech. 865, 884-903 (2019). MSC: 76B10 76B15 86A05 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, J. Fluid Mech. 865, 884--903 (2019; Zbl 1415.76053) Full Text: DOI Link
Tkachenko, E. M.; Timokha, A. N. Analytical approximate capillary surfaces. (English) Zbl 1424.76009 Zb. Pr. Inst. Mat. NAN Ukr. 15, No. 1, 231-245 (2018). MSC: 76B10 76B45 PDFBibTeX XMLCite \textit{E. M. Tkachenko} and \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 15, No. 1, 231--245 (2018; Zbl 1424.76009)
Raynovskyy, Ihor; Timokha, Alexander Steady-state resonant sloshing in an upright cylindrical container performing a circular orbital motion. (English) Zbl 1427.76049 Math. Probl. Eng. 2018, Article ID 5487178, 8 p. (2018). MSC: 76B55 76B10 PDFBibTeX XMLCite \textit{I. Raynovskyy} and \textit{A. Timokha}, Math. Probl. Eng. 2018, Article ID 5487178, 8 p. (2018; Zbl 1427.76049) Full Text: DOI
Timokha, A. N. Prandtl steady rotary current in an upright cylindrical container. (English) Zbl 1413.76014 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 8, 45-51 (2018). MSC: 76B10 76B15 PDFBibTeX XMLCite \textit{A. N. Timokha}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 8, 45--51 (2018; Zbl 1413.76014) Full Text: DOI
Timokha, A. N. Coupling of a swirl-type resonant sloshing and a mean rotational flow. (English) Zbl 1399.76015 Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 2, 205-219 (2017). MSC: 76B10 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 2, 205--219 (2017; Zbl 1399.76015)
Raynovskyy, I. A.; Timokha, A. N. Damped resonant steady-state sloshing in an upright circular tank. (English) Zbl 1399.76013 Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 2, 180-204 (2017). MSC: 76B10 PDFBibTeX XMLCite \textit{I. A. Raynovskyy} and \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 2, 180--204 (2017; Zbl 1399.76013)
Tymokha, O. M.; Raĭnovs’kyĭ, I. A. Resonant steady-state sloshing in upright tanks performing a three-dimensional periodic motion. (Ukrainian. English summary) Zbl 1399.76016 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 3, 225-228 (2017). MSC: 76B10 76D27 PDFBibTeX XMLCite \textit{O. M. Tymokha} and \textit{I. A. Raĭnovs'kyĭ}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 3, 225--228 (2017; Zbl 1399.76016)
Timokha, A. N.; Raynovskyy, I. A. The damped sloshing in an upright circular tank due to an orbital forcing. (English) Zbl 1389.76008 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2017, No. 10, 48-53 (2017). MSC: 76B10 PDFBibTeX XMLCite \textit{A. N. Timokha} and \textit{I. A. Raynovskyy}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2017, No. 10, 48--53 (2017; Zbl 1389.76008) Full Text: DOI
Faltinsen, Odd M.; Timokha, Alexander N. Undamped eigenperiods of a sea-based gravity monotower. (English) Zbl 1471.76016 Appl. Math. Modelling 40, No. 19-20, 8217-8243 (2016). MSC: 76B10 76B15 70E55 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, Appl. Math. Modelling 40, No. 19--20, 8217--8243 (2016; Zbl 1471.76016) Full Text: DOI
Timokha, A. N. Resonant sloshing in a square-base tank due to an angular-and-horizontal periodic forcing. (English) Zbl 1389.76007 Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 3, 266-280 (2016). MSC: 76B10 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 3, 266--280 (2016; Zbl 1389.76007)
Timokha, Alexander Analytically approximate natural sloshing modes and frequencies for an upright circular container with poles. (English) Zbl 1360.76042 J. Eng. Math. 101, 47-54 (2016). MSC: 76B10 47J30 76M25 PDFBibTeX XMLCite \textit{A. Timokha}, J. Eng. Math. 101, 47--54 (2016; Zbl 1360.76042) Full Text: DOI
Timokha, A. N. The Bateman-Luke variational formalism in a sloshing with rotational flows. (English) Zbl 1363.76007 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2016, No. 4, 30-34 (2016). MSC: 76B10 76U05 76B15 PDFBibTeX XMLCite \textit{A. N. Timokha}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2016, No. 4, 30--34 (2016; Zbl 1363.76007) Full Text: DOI
Timokha, A. N. Natural sloshing frequencies and modes in an upright circular container with poles. (English) Zbl 1363.76010 Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 5, 275-283 (2015). MSC: 76B10 76B15 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 5, 275--283 (2015; Zbl 1363.76010)
Timokha, A. N. The Bateman-Luke variational formalism for sloshing of an ideal incompressible liquid with rotational flows. (English) Zbl 1363.76009 Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 5, 267-274 (2015). MSC: 76B10 76U05 76B15 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 5, 267--274 (2015; Zbl 1363.76009)
Timokha, A. N. The Narimanov-Moiseev modal equations for sloshing in an annular tank. (English) Zbl 1363.76008 Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 5, 241-266 (2015). MSC: 76B10 76B15 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 5, 241--266 (2015; Zbl 1363.76008)
Timokha, A. N. The sea-based gravity monotower: coupling external hydrodynamics, sloshing, soil, and structural vibrations, The multimodal modelling. (English) Zbl 1340.76013 Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 472-508 (2014). MSC: 76B10 76B15 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 472--508 (2014; Zbl 1340.76013)
Timokha, A. N. The vortex-induced damping in the moonpool problem. (English) Zbl 1340.76016 Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 457-471 (2014). MSC: 76B47 76B10 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 457--471 (2014; Zbl 1340.76016)
Lukovsky, I. A.; Timokha, A. N. Background of the multimodal method in the sloshing problem. (English) Zbl 1340.76011 Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 438-456 (2014). MSC: 76B10 PDFBibTeX XMLCite \textit{I. A. Lukovsky} and \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 438--456 (2014; Zbl 1340.76011)
Faltinsen, O. M.; Timokha, A. N. Analytically approximate natural sloshing modes and frequencies in two-dimensional tanks. (English) Zbl 1297.76021 Eur. J. Mech., B, Fluids 47, 176-187 (2014). MSC: 76B10 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, Eur. J. Mech., B, Fluids 47, 176--187 (2014; Zbl 1297.76021) Full Text: DOI
Ovchynnykov, D. V.; Timokha, A. N. A complete weakly-nonlinear multimodal system for modeling the liquid sloshing dynamics in an upright annular cylindrical tank. (English) Zbl 1313.76008 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 3, 284-295 (2013). MSC: 76B10 PDFBibTeX XMLCite \textit{D. V. Ovchynnykov} and \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 3, 284--295 (2013; Zbl 1313.76008)
Chernova, M. O.; Timokha, A. N. Sloshing in a two-dimensional circular tank. Weakly-nonlinear modal equations. (English) Zbl 1313.76007 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 3, 262-283 (2013). MSC: 76B10 PDFBibTeX XMLCite \textit{M. O. Chernova} and \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 3, 262--283 (2013; Zbl 1313.76007)
Chernova, M. O.; Timokha, A. N. Vibroequilibria of acoustically-levitating drops. (English) Zbl 1313.76006 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 3, 242-261 (2013). MSC: 76B10 PDFBibTeX XMLCite \textit{M. O. Chernova} and \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 3, 242--261 (2013; Zbl 1313.76006)
Gavrilyuk, I. P.; Hermann, M.; Lukovsky, I. A.; Solodun, O. V.; Timokha, A. N. Weakly nonlinear sloshing in a truncated circular conical tank. (English) Zbl 1431.76028 Fluid Dyn. Res. 45, No. 5, Article ID 055512, 30 p. (2013). MSC: 76B10 76M45 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} et al., Fluid Dyn. Res. 45, No. 5, Article ID 055512, 30 p. (2013; Zbl 1431.76028) Full Text: DOI Link
Faltinsen, Odd M.; Timokha, Alexander N. Multimodal analysis of weakly nonlinear sloshing in a spherical tank. (English) Zbl 1284.76058 J. Fluid Mech. 719, 129-164 (2013). MSC: 76B10 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, J. Fluid Mech. 719, 129--164 (2013; Zbl 1284.76058) Full Text: DOI
Lukovsky, I.; Ovchynnykov, D.; Timokha, A. Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I: Modal equations. (English) Zbl 1334.76011 Nonlinear Oscil., N.Y. 14, No. 4, 512-525 (2012) and Neliniĭni Kolyvannya 14, No. 4, 482-495 (2011). MSC: 76B10 35Q35 PDFBibTeX XMLCite \textit{I. Lukovsky} et al., Nonlinear Oscil., N.Y. 14, No. 4, 512--525 (2012; Zbl 1334.76011) Full Text: DOI
Faltinsen, Odd M.; Timokha, Alexander N. On sloshing modes in a circular tank. (English) Zbl 1250.76026 J. Fluid Mech. 695, 467-477 (2012). MSC: 76B10 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, J. Fluid Mech. 695, 467--477 (2012; Zbl 1250.76026) Full Text: DOI Link
Faltinsen, O. M.; Firoozkoohi, R.; Timokha, A. N. Analytical modeling of liquid sloshing in a two-dimensional rectangular tank with a slat screen. (English) Zbl 1254.76018 J. Eng. Math. 70, No. 1-3, 93-109 (2011). MSC: 76B10 PDFBibTeX XMLCite \textit{O. M. Faltinsen} et al., J. Eng. Math. 70, No. 1--3, 93--109 (2011; Zbl 1254.76018) Full Text: DOI
Faltinsen, Odd M.; Timokha, Alexander N. A multimodal method for liquid sloshing in a two-dimensional circular tank. (English) Zbl 1225.76048 J. Fluid Mech. 665, 457-479 (2010). MSC: 76B10 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, J. Fluid Mech. 665, 457--479 (2010; Zbl 1225.76048) Full Text: DOI
Gavrilyuk, I.; Hermann, M.; Lukovsky, I.; Solodun, O.; Timokha, A. Natural sloshing frequencies in rigid truncated conical tanks. (English) Zbl 1257.76002 Eng. Comput. (Bradf.) 25, No. 6, 518-540 (2008). MSC: 76B10 76M30 PDFBibTeX XMLCite \textit{I. Gavrilyuk} et al., Eng. Comput. (Bradf.) 25, No. 6, 518--540 (2008; Zbl 1257.76002) Full Text: DOI Link
Hermann, Martin; Timokha, Alexander Modal modelling of the nonlinear resonant fluid sloshing in a rectangular tank. II: Secondary resonance. (English) Zbl 1168.76005 Math. Models Methods Appl. Sci. 18, No. 11, 1845-1867 (2008). MSC: 76B10 76B07 PDFBibTeX XMLCite \textit{M. Hermann} and \textit{A. Timokha}, Math. Models Methods Appl. Sci. 18, No. 11, 1845--1867 (2008; Zbl 1168.76005) Full Text: DOI
Timokha, A. N. Note on natural frequencies of longitudinal liquid sloshing in horizontal cylindrical tanks. (English) Zbl 1177.76039 Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 2, 261-271 (2007). MSC: 76B10 76M30 PDFBibTeX XMLCite \textit{A. N. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 2, 261--271 (2007; Zbl 1177.76039)
Faltinsen, Odd M.; Rognebakke, Olav F.; Timokha, Alexander N. Two-dimensional resonant piston-like sloshing in a moonpool. (English) Zbl 1147.76553 J. Fluid Mech. 575, 359-397 (2007). MSC: 76B10 76-05 PDFBibTeX XMLCite \textit{O. M. Faltinsen} et al., J. Fluid Mech. 575, 359--397 (2007; Zbl 1147.76553) Full Text: DOI
Gavrilyuk, I.; Lukovsky, I.; Trotsenko, Yu.; Timokha, A. Sloshing in a vertical circular cylindrical tank with an annular baffle. II: Nonlinear resonant waves. (English) Zbl 1107.76012 J. Eng. Math. 57, No. 1, 57-78 (2007). MSC: 76B10 76B15 76M45 PDFBibTeX XMLCite \textit{I. Gavrilyuk} et al., J. Eng. Math. 57, No. 1, 57--78 (2007; Zbl 1107.76012) Full Text: DOI
Hermann, M.; Timokha, A. A double-dominant modal theory on liquid sloshing and a critical fluid depth. (Ukrainian. English summary) Zbl 1177.76030 Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 1, 260-282 (2006). MSC: 76B10 PDFBibTeX XMLCite \textit{M. Hermann} and \textit{A. Timokha}, Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 1, 260--282 (2006; Zbl 1177.76030)
Timokha, A.; Hermann, Martin A finite-dimensional modal modelling of nonlinear fluid sloshing. (English) Zbl 1309.76030 Di Bucchianico, Alessandro (ed.) et al., Progress in industrial mathematics at ECMI 2004. Papers of the 13th European conference on mathematics for industry, Eindhoven, Netherlands, June 21–25, 2004. Berlin: Springer (ISBN 3-540-28072-3/hbk). Mathematics in Industry 8, 528-532 (2006). MSC: 76B10 37N10 76E99 PDFBibTeX XMLCite \textit{A. Timokha} and \textit{M. Hermann}, Math. Ind. 8, 528--532 (2006; Zbl 1309.76030) Full Text: DOI
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 finite fluid depth. (English) Zbl 1185.76447 Phys. Fluids 18, No. 1, Art. 012103, 14p. (2006). MSC: 76B10 PDFBibTeX XMLCite \textit{O. M. Faltinsen} et al., Phys. Fluids 18, No. 1, Art. 012103, 14p. (2006; Zbl 1185.76447) Full Text: DOI Link
Gavrilyuk, I. P.; Hermann, M.; Timokha, A.; Trotsenko, V. Modeling of the eigenfield of a prestressed hyperelastic membrane encapsulating a liquid. (English) Zbl 1107.74012 Comput. Methods Appl. Math. 6, No. 4, 367-385 (2006). Reviewer: Igor Andrianov (Köln) MSC: 74F10 74F15 76B10 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} et al., Comput. Methods Appl. Math. 6, No. 4, 367--385 (2006; Zbl 1107.74012) Full Text: DOI
Gavrilyuk, I.; Lukovsky, I.; Trotsenko, Yu.; Timokha, A. Sloshing in a vertical circular cylindrical tank with an annular baffle. I: Linear fundamental solutions. (English) Zbl 1101.76008 J. Eng. Math. 54, No. 1, 71-88 (2006). MSC: 76B10 76M45 PDFBibTeX XMLCite \textit{I. Gavrilyuk} et al., J. Eng. Math. 54, No. 1, 71--88 (2006; Zbl 1101.76008) Full Text: DOI
Faltinsen, Odd M.; Rognebakke, Olav F.; Timokha, Alexander N. Resonant three-dimensional nonlinear sloshing in a square-base basin. III: Base ratio perturbations. (English) Zbl 1087.76012 J. Fluid Mech. 551, 93-116 (2006). MSC: 76B10 76M45 PDFBibTeX XMLCite \textit{O. M. Faltinsen} et al., J. Fluid Mech. 551, 93--116 (2006; Zbl 1087.76012) Full Text: DOI
Gavrilyuk, I. P.; Lukovsky, I. A.; Timokha, A. N. Linear and nonlinear sloshing in a circular conical tank. (English) Zbl 1153.76328 Fluid Dyn. Res. 37, No. 6, 399-429 (2005). MSC: 76B10 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} et al., Fluid Dyn. Res. 37, No. 6, 399--429 (2005; Zbl 1153.76328) Full Text: DOI
Herrmann, Martin; Timokha, Alexander Modal modelling of the nonlinear resonant fluid sloshing in a rectangular tank. I: A single-dominant model. (English) Zbl 1098.76012 Math. Models Methods Appl. Sci. 15, No. 9, 1431-1458 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76B10 76B15 PDFBibTeX XMLCite \textit{M. Herrmann} and \textit{A. Timokha}, Math. Models Methods Appl. Sci. 15, No. 9, 1431--1458 (2005; Zbl 1098.76012) Full Text: DOI
Faltinsen, Odd M.; Rognebakke, Olav F.; Timokha, Alexander N. Resonant three-dimensional nonlinear sloshing in a square-base basin. II: Effect of higher modes. (English) Zbl 1065.76023 J. Fluid Mech. 523, 199-218 (2005). MSC: 76B10 PDFBibTeX XMLCite \textit{O. M. Faltinsen} et al., J. Fluid Mech. 523, 199--218 (2005; Zbl 1065.76023) Full Text: DOI
Faltinsen, Odd M.; Rognebakke, Olav F.; Timokha, Alexander N. Resonant three-dimensional nonlinear sloshing in a square-base basin. (English) Zbl 1053.76006 J. Fluid Mech. 487, 1-42 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76B10 76M45 PDFBibTeX XMLCite \textit{O. M. Faltinsen} et al., J. Fluid Mech. 487, 1--42 (2003; Zbl 1053.76006) Full Text: DOI
Faltinsen, Odd M.; Timokha, Alexander N. Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depth. (English) Zbl 1163.76325 J. Fluid Mech. 470, 319-357 (2002). MSC: 76B10 76M45 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, J. Fluid Mech. 470, 319--357 (2002; Zbl 1163.76325) Full Text: DOI
Faltinsen, Odd M.; Timokha, Alexander N. An adaptive multimodal approach to nonlinear sloshing in a rectangular tank. (English) Zbl 0991.76009 J. Fluid Mech. 432, 167-200 (2001). Reviewer: Vasile Ionescu (Bucureşti) MSC: 76B10 76M30 76-05 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, J. Fluid Mech. 432, 167--200 (2001; Zbl 0991.76009)
Lukovskyj, I. A.; Timokha, A. N. Modal modelling of nonlinear sloshing in tanks with non-vertical walls. Non-conformal mapping technique. (Russian) Zbl 1079.76514 Prykl. Gidromekh. 2(74), No. 4, 32-47 (2000). Reviewer: I. T. Selezov (Kyïv) MSC: 76B10 76B07 76M30 76M22 PDFBibTeX XMLCite \textit{I. A. Lukovskyj} and \textit{A. N. Timokha}, Prykl. Gidromekh. 2(74), No. 4, 32--47 (2000; Zbl 1079.76514)
Lukovskyj, I. A.; Timokha, A. N. Steady-state nonlinear sloshing in a rectangular tank: passage to shallow water. (Ukrainian. English summary) Zbl 1054.76508 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 11, 48-51 (2000). MSC: 76B10 PDFBibTeX XMLCite \textit{I. A. Lukovskyj} and \textit{A. N. Timokha}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 11, 48--51 (2000; Zbl 1054.76508)
Faltinsen, Odd M.; Rognebakke, Olav F.; Lukovsky, Ivan A.; Timokha, Alexander N. Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. (English) Zbl 0990.76006 J. Fluid Mech. 407, 201-234 (2000). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 76B10 76B07 76M30 PDFBibTeX XMLCite \textit{O. M. Faltinsen} et al., J. Fluid Mech. 407, 201--234 (2000; Zbl 0990.76006) Full Text: DOI
Lukovskij, I. A.; Timokha, A. N. Variational methods in nonlinear problems of the dynamics of a bounded volume of fluid. (Variatsionnye metody v nelinejnykh zadachakh dinamiki ogranichennogo ob”ema zhidkosti.) (Russian. English summary) Zbl 0990.76500 Trudy Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. 12. Kiev: Institut Matematiki NAN. 400 p. (1995). MSC: 76-02 35Q35 49S05 76M30 76B10 PDFBibTeX XMLCite \textit{I. A. Lukovskij} and \textit{A. N. Timokha}, Variatsionnye metody v nelinejnykh zadachakh dinamiki ogranichennogo ob''ema zhidkosti (Russian). Kiev: Institut Matematiki NAN (1995; Zbl 0990.76500)
Lukovskij, I. A.; Timokha, A. N. Nonlinear dynamics of a gas-liquid system under high frequency acoustic vibrations. (English. Russian original) Zbl 0837.76081 Fluid Mech. Res. 21 (1992), No. 6, 124-130 (1995). MSC: 76Q05 76B10 76N15 PDFBibTeX XMLCite \textit{I. A. Lukovskij} and \textit{A. N. Timokha}, Fluid Mech. Res. 21(1992), No. 6, 124--130 (1992; Zbl 0837.76081)