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Professor Yury Stepanyants

Professor Yury Stepanyants
Name Yury Stepanyants
Position Professor (Mathematics)
Section School of Sciences
Office D220
Location Toowoomba Campus
Phone +61 7 4631 5548
Extension 5548
Email
Qualifications PhD Marine Hydrophysical Institute

Fields of Research (FoR)

  • Applied Mathematics not elsewhere classified ( 010299 )
  • Classical Physics not elsewhere classified ( 020399 )
  • Oceanography not elsewhere classified ( 040599 )
  • Applied Mathematics not elsewhere classified ( 490199 )
  • Classical Physics not elsewhere classified ( 510399 )
  • Oceanography not elsewhere classified ( 370899 )

Research interests
- nonlinear dynamics and general theory of nonlinear oscillations and waves;
- theoretical and computational fluid mechanics;
- physical oceanography and geophysical fluid dynamics;
- dynamics of bubbles, drops and solid particles in viscous fluids;
- instability of shear flows;
- groundwater flow and percolation processes in porous media;
- nonlinear waves and vortices in fluids including plasma;
- nonlinear waves in electric transmission lines and fibre optics.

Professional memberships
Member of the American Mathematical Society;
Member of the Advisory Board of the journal "Chaos".

USQ Research affiliations

  • Computational Engineering and Science Research Centre (CESRC)

Currently teaching courses/programs
- ENM1600 Engineering Mathematics I;
- ENM2600 Engineering Mathematics II;
- MAT2100/2500 Calculus;
- MAT3103 Mathematical Modelling and Dynamical Systems.

Teaching experience(Tertiary)
45 Years

Research most recent
- Stepanyants Y.A., Yeoh G.H. Structure of stationary bathtub vortices in a viscous liquid and a critical regime of liquid discharge. J. Fluid Mech., 2008, v. 604, 77–98.
- Stepanyants Y.A., Yeoh G.H. Particle and bubble dynamics in a creeping flow. Eur. J. Mech. B/Fluids, 2009, v. 28, 619-629.
- Malomed B.A., Stepanyants Y.A. The inverse problem for the Gross-Pitaevskii equation. Chaos, 2010, v. 20, 013130, 14 p.


Research most notable
- Kalyagin V.A., Stepanyants Yu.A. Lyapunov–Arnold method in the nonlinear theory of hydrodynamic stability. Nizhny Novgorod, Inst. Appl. Phys., RAS, 1995, 66 p. (in Russian).
http://www.ipfran.ru/biblio/b3.html
- Fabrikant A.L., Stepanyants Yu.A. Propagation of Waves in Shear Flows. World Scientific, Singapore, 1998, 287 p. (Russian version: Stepanyants Yu.A., Fabrikant A.L. Propagation of Waves in Shear Flows, Moscow, Nauka. Fizmatlit, 1996, 240 p.).
http://www.worldscibooks.com/books/chaos/2557.html


Publications in ePrints

Stepanyants, Yu. A. ORCID: https://orcid.org/0000-0003-4546-0310 (2021) Can a submarine be perished by internal waves? Priroda (in Russian) (6). pp. 54-66. ISSN 0032-874X

Churilov, Semyon and Stepanyants, YuryORCID: https://orcid.org/0000-0003-4546-0310 (2021) Hydrodynamic models of astrophysical wormholes: the general concept. Physics of Fluids, 33:077121. ISSN 1070-6631

Grimshaw, R. H. J. and Smyth, N. F. and Stepanyants, Y. A.ORCID: https://orcid.org/0000-0003-4546-0310 (2021) Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin-Ono equation. Physica D: Nonlinear Phenomena, 419:132861. pp. 1-10. ISSN 0167-2789

Boral, Susam and Sahoo, Trilochan and Stepanyants, YuryORCID: https://orcid.org/0000-0003-4546-0310 (2021) Modulation instability of surface waves in the model with the uniform wind profile. Symmetry, 13:651.

Ducrozet, Guillaume and Slunyaev, Alexey and Stepanyants, YuryORCID: https://orcid.org/0000-0003-4546-0310 (2021) Transformation of envelope solitons on a bottom step. Physics of Fluids, 33:066606. ISSN 1070-6631

View full listing in ePrints

Approved research supervisor in the area of:

  • Applied Mathematics not elsewhere classified ( 010299 )
  • Classical Physics not elsewhere classified ( 020399 )
  • Oceanography not elsewhere classified ( 040599 )
  • Applied Mathematics not elsewhere classified ( 490199 )
  • Classical Physics not elsewhere classified ( 510399 )
  • Oceanography not elsewhere classified ( 370899 )