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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
Qualifications PhD Marine Hydrophysical Institute

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).
- 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.).

Publications in ePrints

Grimshaw, R. H. J. and Smyth, N. F. and Stepanyants, Y. A.ORCID: (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

Scarmana, Gabriel and McDougall, KevinORCID: and Stepanyants, YuryORCID: (2020) A geometric model for estimating the volume and surface area of apples. In: Smart Surveyors for Land and Water Management, 10–14 May 2020, Amsterdam, Netherlands.

Grimshaw, R. H. J. and Stepanyants, Y. A.ORCID: (2020) Emergence of envelop solitary waves from initial localised pulses within the Ostrovsky equation. Radiophysics and Quantum Electronics, 63 (1). pp. 21-28. ISSN 0033-8443

Fogaca, D. A. and Fariello, R. and Navarra, F. S. and Stepanyants, Y. A.ORCID: (2020) Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma. Communication on Nonlinear Sciences and Numerical Simulation, 83:105144. ISSN 1007-5704

Ostrovsky, L.A. and Stepanyants, Y.A.ORCID: (2020) Kinematics of interacting solitons in two-dimensional space. Russian Journal of Earth Science, 20:ES4007. pp. 1-11. ISSN 1681-1208

View full listing in ePrints