Publications of Oleg Motygin

Book:

• Indeytsev, D.A., Kuznetsov, N.G., Motygin, O.V., Mochalova, Yu.A. “Lokalizatsiya linejnykh voln” (“Trapped linear waves”). St.Petersburg, St.Petersburg State University Press, 2007, 342 p. (in Russian).
  Annotation and contents: (pdf 78Kb, in Russian)

Referred publications:

• Motygin, O.V., “Numerical approximation of oscillatory integrals of the linear ship wave theory”. Applied Numerical Mathematics. 2017. DOI: 10.1016/j.apnum.2017.01.003. Extended version: “On computation of oscillating integrals of ship-wave theory”. arXiv: 1411.0321 [math.NA].
• Kuznetsov, N.G., Motygin, O.V., “Surface and internal waves: the two-dimensional problem of a two-layer flow about an interface-piercing body”. Journal Differential Equations and Control Processes. 2016. No 4. P. 42–92.
  (pdf, in Russian)
• Kuznetsov, N.G., Motygin, O.V., “The three-dimensional problem of the coupled time-harmonic motion of a freely floating body and water covered by brash ice”. Proc. Days on Diffraction 2016. P. 270–276. DOI: 10.1109/DD.2016.7756855. Presentation at DD'16.
• Nikolay Kuznetsov, Oleg Motygin, “On the coupled time-harmonic motion of a freely floating body and water covered by brash ice”. J. Fluid Mechanics. 2016. V. 795. P. 174–186. DOI: 10.1017/jfm.2016.183. Preprint: “On freely floating bodies trapping time-harmonic waves in water covered by brash ice”. arXiv:1512.01252 [physics.flu-dyn].
• Oleg V. Motygin, “On numerical evaluation of the Heun functions”. Proc. Days on Diffraction 2015. P. 222–227. DOI: 10.1109/DD.2015.7354864. Extended version: “On evaluation of the Heun functions”. arXiv:1506.03848 [math.NA].
• Nikolay Kuznetsov, Oleg Motygin, “Freely floating structures trapping time-harmonic water waves”. Quarterly J. Mech. Appl. Math. 2015. V. 68(2). P. 173–193. DOI: 10.1093/qjmam/hbv003. Preprint: arXiv:1410.6013 [math-ph].
• Oleg V. Motygin, “On well-posed statements of the three-dimensional ship-wave problem”. Quarterly J. Mech. Appl. Math. 2012. V. 65(3). P. 389–408. DOI: 10.1093/qjmam/hbs009.
• Nikolay Kuznetsov, Oleg Motygin, “On the coupled time-harmonic motion of deep water and a freely floating body: trapped modes and uniqueness theorems” J. Fluid Mechanics. 2012. V. 703. P. 142–162. DOI: 10.1017/jfm.2012.202.
• Kuznetsov N., Motygin O., “On the coupled time-harmonic motion of water and a body freely floating in it”. J. Fluid Mechanics. 2011. V. 679. P. 616–627. DOI: 10.1017/jfm.2011.161.
• Кузнецов Н.Г., Motygin, O.V., “On the coupled time-harmonic motion of fluid and a freely floating body”. Vestnik of Lobachevsky State University of Nizhni Novgorod. 2011. No 4, part 5, P. 2363–2365 (Materials of X^th All-Russian Congress on the fundamental problems of theoretical and applied mechanics, August 24–30, 2011, Nizhni Novgorod, Russia).
• Motygin O.V., “Trapped modes in a linear problem of the theory of surface water waves”. J. Mathematical Sciences. 2011. V. 173. No. 6. P. 717–736. DOI: 10.1007/s10958-011-0269-y.
• Motygin O., Kuznetsov N. “On the forward motion of an interface-crossing body in a two-layer fluid: the role of asymptotics in problem's statement”. J. Engineering Math. 2011. V. 69, No. 2–3. P. 113–134. DOI: 10.1007/s10665-010-9375-y.
• Motygin O.V., Kuznetsov N.G. “The problem of steady flow over a two-dimensional bottom obstacle”. Around the Research of Vladimir Maz'ya II. Partial Differential Equations, Springer International Mathematical Series. 2010. V. 12. P. 253–274. DOI: 10.1007/978-1-4419-1343-2_12.
• Motygin O.V., “On unique solvability in the problem of water waves above submerged bodies” J. Math. Sciences. 2010. V. 167. No. 5. P. 680–691. DOI: 10.1007/s10958-010-9954-5.
• Motygin O.V., McIver P. “On uniqueness in the problem of gravity-capillary water waves above submerged bodies”. Proc. Roy. Soc. London A. 2009. V. 465. P. 1743–1761. DOI: 10.1098/rspa.2009.0012. Preprint No. 09-01. Department of Math. Sciences, Loughborough Univ., UK, 2009;
• Motygin O.V., McIver P. “On uniqueness and solvability in the linear problem of ship waves”. Quarterly J. Mech. Appl. Math. 2009. V. 62(4). P. 495–523. DOI: 10.1093/qjmam/hbp020. Preprint No. 08-36. Department of Math. Sciences, Loughborough Univ., UK, 2008;
• Kuznetsov N.G., Motygin O.V., “The Steklov problem in symmetric domains with infinitely extended boundary”. Proc. St.Petersburg Math. Soc. — American Mathematical Society Translations. Ser. 2. 2009. Vol. XIV. P. 45–78.
  (pdf, Content of the Volume)
• Motygin O.V., “On trapping of surface water waves by cylindrical bodies in a channel”. Wave Motion. 2008. V. 45. P. 940–951. DOI: 10.1016/j.wavemoti.2008.05.002.
• Motygin O.V., “On the statement of the three-dimensional Neumann–Kelvin problem”. Proc. Days on Diffraction 2008. P. 140–146.
• Motygin O.V., “On uniqueness in the two- and three-dimensional Neumann–Kelvin problem”. Proc. Days on Diffraction 2007. P. 112–115. DOI: 10.1109/DD.2007.4532000.
• Motygin O.V. “Estimates of the trapped-mode frequencies of oscillation of a liquid in the presence of submerged bodies”. J. Appl. Math. and Mech. 2005. Vol. 69. P. 733–742. DOI: 10.1016/j.jappmathmech.2005.09.008.
• Kozlov V., Kuznetsov N., Motygin O., “On the two-dimensional sloshing problem”. Proc. Roy. Soc. London A. 2004. V. 460. No. 2049. P. 2587–2603. DOI: 10.1098/rspa.2004.1303.
  (pdf 293Kb)
• Motygin O.V., McIver P., “A uniqueness criterion for linear problems of wave-body interaction”. IMA J. of Appl. Math. 2003. V. 68(3). P. 229–250. DOI: 10.1093/imamat/68.3.229.
  (pdf 461Kb)
• Kuznetsov N.G., Motygin O.V., “The Steklov problem in a half-plane: dependence of eigenvalues on piecewise constant coefficient”. J. Math. Sciences. 2005. V. 127. No. 6. P. 2429–2445. DOI: 10.1007/s10958-005-0192-1. (See also abstract Conf. on Math. and Num. Aspects of Wave Propagation, Waves'2003.)
• Motygin O.V. “Solvability of boundary integral equations for the problem of a body moving in a two-layer fluid”. Comput. Mathematics and Math. Physics. 2003. V. 43. No. 2. P. 268–275.
• Motygin O.V., Sturova I.V., “Wave motions in a two-layer fluid driven by small oscillations of a cylinder intersecting the interface”. Fluid Dynamics. 2002. V. 37. No. 4. P. 600–613. DOI: 10.1023/A:1020697420910. (See also talk at Workshop on Water Waves and Floating Bodies 2002).
  (pdf 427Kb, in Russian)
• Motygin O.V., “On the non-existence of surface waves trapped by submerged obstructions having exterior cusp points”. Quarterly J. Mech. Appl. Math. 2002. V. 55(1). P. 127–140. DOI: 10.1093/qjmam/55.1.127. Preprint No.00-05 Department of Math. Sciences, Loughborough Univ., UK, 2000;
  (pdf 264Kb)
• Nikolay Kuznetsov, Oleg Motygin, “Sloshing problem in a half-plane covered by a dock with two gaps: monotonicity and asymptotics of eigenvalues” (Problem de ballottement dans un demi-plan avec un covercle et deux ouvertures: monotonie et comportement asymptotique des valeurs propres). Comptes Rendus de l'Academie des Sciences: Serie II b, Mechanique, Physique, Astronomie. 2001. V. 329(11). P. 791–796. DOI: 10.1016/S1620-7742(01)01399-X.
  (pdf 189Kb)
• Motygin O.V., “On frequency bounds for modes trapped near a channel-spanning cylinder”. Proc. Roy. Soc. London A. 2000. V. 456. No. 2004. P. 2911–2930. DOI: 10.1098/rspa.2000.0646. Preprint No.99-33 Department of Math. Sciences, Loughborough Univ., UK. 1999, 20 p.;
  (pdf 356Kb)
• Motygin O.V., Nazarov S.A., “A computer-aided procedure for constructing boundary layers in plate theory”. Comput. Mathematics and Math. Physics 2000. V. 40(2). P. 261–272.
  (pdf 256Kb, in Russian)
• Motygin O.V, Nazarov S.A., “Justification of the Kirchhoff hypotheses and error estimation for two-dimensional models of anisotropic and inhomogeneous plates, including laminated plates”. IMA J. Appl. Math. 2000. V. 64. P. 1–28. DOI: 10.1093/imamat/65.1.1.
  (pdf 400Kb)
• Motygin O.V., McIver P., “A uniqueness criterion for linear problems of wave-body interaction”. Proc. Day on Diffraction 2000. P. 108–117. DOI: 10.1109/DD.2000.902363.
• Motygin O.V. “Trapped modes of oscillation of a liquid for surface-piercing bodies in oblique water waves”. J. Appl. Math. and Mech. 1999. Vol. 63. No. 2. P. 257–264. DOI: 10.1016/S0021-8928(99)00034-9.
  (pdf 241Kb, in Russian)
• Kuznetsov N., Motygin O., “On the resistanceless statement of the two-dimensional Neumann–Kelvin problem for a surface-piercing tandem”. IMA J. Appl. Math. 1999. V. 62. P. 81–99. DOI: 10.1093/imamat/62.1.81.
  (pdf 338Kb)
• Motygin O.V., “Uniqueness and solvability in the linearized two-dimensional problem of a finite depth stream about a body”. Euro J. Appl. Math. V. 10(2). P. 141–156. DOI: 10.1017/S0956792599003691.
  (pdf 286Kb)
• Motygin O.V., Klimenko A.V., “On the non-uniqueness in the 2d linear problem of a two-layer flow about interface-piercing bodies”. Proc. Days on Diffraction 1999. P. 137–145. DOI: 10.1109/DD.1999.816194.
  (pdf 223Kb)
• Kuznetsov N., Motygin O., “On the waveless statement of the two-dimensional Neumann–Kelvin problem for a surface-piercing body”. IMA J. Appl. Math. 1997. V. 59. P. 25–42. DOI: 10.1093/imamat/59.1.25.
  (pdf 322Kb)
• Motygin O., Kuznetsov N., “The wave resistance of a two-dimensional body moving forward in a two-layer fluid”. J. Engineering Math. 1997. V. 32. P. 53–72. DOI: 10.1023/A:1004218330756.
  (pdf 344Kb)
• Motygin O.V. “Examples of non-uniqueness for the linear problem of potential flow around semi-submerged bodies”. J. Appl. Math. and Mech. 1997. V. 61. No. 6. P. 949–955. DOI: 10.1016/S0021-8928(97)00123-8. (See also a note in Proc. “DD'97”).
  (pdf 235Kb, in Russian)

Conference Proceedings

• Kuznetsov N., Motygin O., “Trapping of time-harmonic waves by freely floating structures consisting of multiple bodies (motionless and/or heaving)”. Proc. of 28th Workshop on Water Waves and Floating Bodies. L'Isle sur la Sorgue, France, 2013, pp. 121–124.
  (pdf at IWWWFB site)
• Kuznetsov N.G., Motygin O.V., “Time-harmonic water waves trapped by surface-piercing motionless bodies floating freely”. Proc. of 27th Workshop on Water Waves and Floating Bodies. Copenhagen, Denmark, 2012, pp. 97–100.
  (pdf at IWWWFB site)
• Motygin O.V., McIver P. “Non-uniqueness in the plane problem of steady forward motion of bodies”. Proc. of 25th Workshop on Water Waves and Floating Bodies. Harbin, China, 2010, pp. 117–120.
  (pdf at IWWWFB site)
• Motygin O.V., McIver P., “Trapping of gravity-capillary water waves by submerged obstacles”. Proc. of 24th Workshop on Water Waves and Floating Bodies. Zelenogorsk, Russia, 2009, pp. 153–156.
  (pdf at IWWWFB site)
• Motygin O.V., “A new approach to uniqueness for linear problems of wave–body interaction”. Proc. of 21st Workshop on Water Waves and Floating Bodies. Loughborough, UK, 2006, pp. 129–132.
  (pdf at IWWWFB site)
• Motygin O.V., “Trapped modes for surface-piercing cylinders below and above the cut-off frequency”. Proc. of 20th Workshop on Water Waves and Floating Bodies. Longyearbyen, Spitsbergen, Norway, 2005, 4 pp.
  (pdf at IWWWFB site)
• Motygin O.V., Kuznetsov N.G., “Eigenvalues of the Steklov problem in an infinite cylinder”. Proc. of 6th International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves'2003). University of Jyväskylä, Finland, 2003, pp. 463–469.
  (pdf 123Kb)
• Motygin O.V., Kuznetsov N.G., “Sloshing problem in a half-plane covered by a dock with two equal gaps”. Proc. of 17th Workshop on Water Waves and Floating Bodies. Cambridge, UK, 2002, pp. 135–138.
  (pdf at IWWWFB site) (pdf 589Kb, talk's slides)
• Sturova I.V., Motygin O.V., “Radiation problem for an interface-piercing cylinder in a two-layer fluid”. Proc. of 17th Workshop on Water Waves and Floating Bodies. Cambridge, UK, 2002, pp. 167–170.
  (pdf at IWWWFB site) (pdf 663Kb, talk's slides)
• Nikolay Kuznetsov, Oleg Motygin, “The antisymmetric sloshing modes in the presence of a dock with two gaps”. Proc. of XXVIIIth Summer School “Advanced Problems in Mechanics”. St.Petersburg, 2000, 12 p.
• Oleg V. Motygin, “Frequency bounds for modes trapped near a channel-spanning cylinder”. Proc. of 5th Int. Conference on Math. and Numerical aspects of wave propagation. Santiago de Compostela, Spain, 2000, pp. 428–432.
• Motygin O.V., Kuznetsov N.G., “Non-uniqueness in the water-wave problem: an example violating the inside John condition”. Proc. of 13th Workshop on Water Waves and Floating Bodies. Alphen aan den Rijn, The Netherlands, 1998, pp. 107–110.
  (pdf at IWWWFB site)
• Motygin O.V., “Trapped modes in the linearized problem of a potential flow about semisubmerged bodies”. Proc. of Conference “Day on Diffraction”. POMI, St.Petersburg, 1997, pp. 149–156.
  (pdf 169Kb)
• Motygin O.V., Kuznetsov N.G., “On the non-uniqueness in the 2D Neumann–Kelvin problem for a tandem of surface-piercing bodies”. Proc. of 12th Workshop on Water Waves and Floating Bodies. Marseille, France, 1997, p. 189–193.
  (pdf at IWWWFB site)
• Motygin O.V., Kuznetsov N.G., “On the wave resistance of a 2d body in a two-layer fluid”. Proc. of 11th Workshop on Water Waves and Floating Bodies. Hamburg, Germany, 1996, 4 p.
  (pdf at IWWWFB site)
• Kuznetsov N.G., Motygin O.V., “On the statement of the two-dimensional Neumann–Kelvin problem describing the resistanceless forward motion of a surface-piercing tandem”. Proc. of A.M. Basin Memorial Conference on Ship Hydrodynamics. St.Petersburg, 1995, pp. 154–162.
• Kuznetsov N.G., Motygin O.V., “The 2-D Neumann–Kelvin problem for a surface-piercing tandem”. Proc. of 10th Workshop on water waves and floating bodies. Oxford, England, 1995, pp. 181–186.
  (pdf at IWWWFB site)
• Kuznetsov N.G., Motygin O.V., “On the wave-making resistance for a tandem of surface-piercing bodies”. Proc of Conf. “Computational Technologies-94”. 1995, Novosibirsk. V. 4(11). P. 154–163.