Nikolay G. Kuznetsov



Given name:


Patronymic name:


Contact info:

Tel: + 7 (812) 3214766

Fax: + 7 (812) 3214771

E-mail: nikolay.g.kuznetsov at

Address: V.O., Bolshoy pr., 61, St Petersburg, 199178, Russia, IPME RAS

Home page: RU EN

Position in IPME RAS:

Principal Research Scientist

Laboratory for Mathematical Modelling of Wave Phenomena

Academic degree:

D. Sc.


Senior Research Scientist

Date of birth:


Professional activity:

1964–1969 – Student, Leningrad State University

1969–1970 – Research Probationer, Institute for Telecommunications, Leningrad

1970–1973 – Graduate Student, Moscow State University, Leningrad Shipbuilding Institute

1973–1986 – Lecturer, Senior Lecturer, Department of Applied and Numerical Mathematics, Leningrad Shipbuilding Institute

since 1986 – Senior Research Scientist, Chief Research Scientist, Head of Laboratory for Mathematical Modelling in Mechanics, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences

1988 – Title “Senior Research Scientist” in Fluid and Gas Mechanics

1992 – Academic degree D. Sc. in Physics and Mathematics

1997–2016 – Head of Laboratory for Mathematical Modelling of Wave Phenomena, IPME RAS

since 2016 – Principal Research Scientist, Laboratory for Mathematical Modelling of Wave Phenomena, IPME RAS

Scientific interests:

  • Fluid Mechanics, Mathematical Physics

  • Linear and nonlinear theory of water waves: localization of waves by floating bodies, ship waves, nonlinear steady waves, sloshing


  • The St. Peters­burg Mathematical Society

  • The American Mathematical Society

International collaboration:

  • Visiting Research Professor: University of Linköping (Sweden) 1992, 1993, 1998–2000, 2002–2004, 2006–2016

  • Visiting Research Professor: Loughborough University (UK) 1995, 1996, 1999, 2000, 2002, 2004

  • EPSRC Visiting Research Fellow: University of Bristol (UK) 1997

  • Visiting Researcher: University of North Carolina at Charlotte (USA) 1994, 1999

  • Visiting Research Professor: Technical University of Wrocław (Poland) 2009, 2010

Invited Lectures:

1992: Oslo – Norway

1994: Stanford, Berkeley, Delaware, Charlotte, Boston (MIT) – USA

1995: Bath, Bristol, Brighton, Loughborough, Manchester – UK; Twente – the Netherlands

1996: Bath, Loughborough, Manchester – UK

1999: Liverpool – UK

2011: Lausanne – Switzerland

2013: Bergen – Norway


  • International Workshop on Water Waves and Floating Bodies: 1992–1998, 2000, 2002, 2004–2006, 2009, 2012, 2013, 2015

  • International Conference on Mathematical and Numerical Aspects of Wave Propagation: 1995 (France), 2003 (Finland)

  • British Applied Mathematics Colloquium: 1996, 1997

  • International Conference on Mathematical Modelling of Wave Phenomena 2002 (Växjö, Sweden)

  • International Conference on Boundary Integral Methods: Theory and Applications 2004 (Reading, UK)

  • International Conference ‘Days on Diffraction’ (Chairman of the mini-symposium ‘Linear and Nonlinear Water Waves’) 2004 and 2009 (plenary talks), 2010–2016

  • Isaac Newton Institute Workshop ‘Spectral Theory and its Applications’ 2006 (Cambridge, UK)

  • International Conference ‘Nonlinear Problems for p-Laplacian and Laplacian’ 2009 (Linköping, Sweden); plenary talk

  • NORDIC-RUSSIAN Workshop in Applied Mathematics with Focus on Modelling Subsystems of the Baltic Sea and Arctic Region 2010 (Helsinki, Finland); plenary talk

  • International Workshop ‘Nonlinear Waves and Interface Problems’ 2012 (Lund, Sweden); plenary talk

  • International Conference ‘Contemporary Problems of Mathematics, Mechanics and Mathematical Physics’ on the occasion of the 150th anniversary of V.A. Steklov's birth 2013 (St. Peters­burg, Russian Federation); 2 plenary talks

  • International Conference ‘PDEs, Potential Theory and Function Spaces’ 2015 (Linköping, Sweden)

Profiles in scientific databases and networks:



Russian Science Citation Index

Research Gate

Selected publications:

  • Kuznetsov, N., Maz’ya, V. Vainberg, B., LINEAR WATER WAVES: A Mathematical Approach. Cambridge University Press, 2002, xviii+514 pp.

  • Kozlov, V., Kuznetsov, N., The ice-fishing problem: the fundamental sloshing frequency versus geometry of holes. Math. Meth. Appl. Sci. V. 27 (2004), 289–312.

  • Kozlov, V., Kuznetsov, N., Motygin, O., On the two-dimensional sloshing problem. Proc. Roy. Soc. Lond. A, V. 460 (2004), 2587–2603; Correction, ibid. V. 467 (2011), 2427–2430.

  • Kozlov, V., Kuznetsov, N., On behaviour of free-surface profiles for bounded steady water waves. J. Math. Pures Appl. V. 90 (2008), 1–14.

  • Kuznetsov, N., Motygin, O., The Steklov problem in symmetric domains with infinitely extended boundary. Proc. St Petersburg Math. Soc. V. 14 (2008), 55–98 (in Russian. Also, Translations of the AMS, V. 228 (2009), 45–78).

  • Kozlov, V., Kuznetsov, N., Fundamental bounds for steady water waves. Math. Ann. V. 345 (2009), 643–655.

  • Kozlov, V., Kuznetsov, N., The Benjamin–Lighthill conjecture for near-critical values of Bernoulli’s constant. Arch. Rat. Mech. Anal. V. 197 (2010), 433–488.

  • Kuznetsov, N., On the problem of time-harmonic water waves in the presence of a freely floating structure. Algebra & Analiz. V. 22 (2010), no. 6, 185–199 (see also St Petersburg Math. J. V. 22 (2011), 985–995).

  • Kulczycki, T., Kuznetsov, N., On the ‘high spots’ theorem for fundamental sloshing modes in a trough. Proc. Roy. Soc. Lond. A. V. 467 (2011), 1491–1502.

  • Kozlov, V., Kuznetsov, N., Steady free-surface vortical flows parallel to the horizontal bottom. Quart. J. Mech. Appl. Math. V. 64 (2011), 371–399.

  • Kozlov, V., Kuznetsov, N., The Benjamin–Lighthill conjecture for steady water waves (revisited). Arch. Rat. Mech. Anal. V. 201 (2011), 631–645.

  • Kuznetsov, N., Motygin, O., On the coupled time-harmonic motion of deep water and a freely floating body: trapped modes and uniqueness theorems. J. Fluid Mech. V. 703 (2012), 142–162.

  • Kozlov, V., Kuznetsov, N., No steady water waves of small amplitude are supported by a shear flow with a still free surface. J. Fluid Mech. V. 717 (2013), 523–534.

  • Kozlov, V., Kuznetsov, N., Steady water waves with vorticity: spatial Hamiltonian structure. J. Fluid Mech. V. 733 (2013), R1 (1–12).

  • Kuznetsov, N., Kulczycki, T., Kwasnicki, M., Nazarov, A., Poborchi, S., Polterovich, I., Siudeja, B., The legacy of Vladimir Andreevich Steklov. Notices of the AMS. V. 61 (2014), 9–22. (Chinese transl. in Mathematical Advances in Translation. V. 34 (2015), 43–52 and 164–173).

  • Kozlov, V., Kuznetsov, N., Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents. Arch. Rat. Mech. Anal. V. 214 (2014), 971–1018.

  • Kuznetsov, N., Nazarov, A., Sharp constants in the Poincare, Steklov and related inequalities (a survey). Mathematika. V. 61 (2015), 328–344.

  • Kozlov, V., Kuznetsov, N., Lokharu, E., On bounds and non-existence in the problem of steady waves with vorticity. J. Fluid Mech. V. 765 (2015), R1 (1–13).

  • Kuznetsov, N., Motygin, O., Freely floating structures trapping time-harmonic water waves. Quart. J. Mech. Appl. Math. V. 68 (2015), 173–193.

  • Kuznetsov, N., On delusive nodal sets of free oscillations. EMS Newsletter. No. 96 (2015), 34–40.

  • Kuznetsov, N., Motygin, O., On the coupled time-harmonic motion of a freely floating body and water covered by brash ice. J. Fluid Mech. V. 795 (2016), 174–186.

  • Kuznetsov, N., On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container. Nanosystems: Physics, Chemistry, Mathematics. V. 7 (2016), 854–864.