Yury Stepanyants

Yury Stepanyants is a Professor of Mathematics at the University of Southern Queensland, affiliated with the School of Mathematics, Physics and Computing and the Centre for Astrophysics. His research focuses on nonlinear waves, fluid dynamics, and their applications in oceanography and astrophysics. He holds a PhD from the Marine Hydrophysical Institute. His work encompasses solitary waves, internal waves in rotating fluids, and wave interactions in diverse media such as ice-covered surfaces and stratified fluids. He has supervised multiple doctoral and master's students, including studies on fluid mechanics, numerical methods, and nano-particle dynamics. His contributions span theoretical and applied fluid dynamics, with a focus on nonlinear phenomena and mathematical modeling.

Research interests include nonlinear wave dynamics, fluid mechanics, and mathematical physics, with a particular emphasis on soliton theory, wave propagation in variable environments, and astrophysical hydrodynamics. Notable studies involve the Kadomtsev–Petviashvili (KP) equation, Korteweg–de Vries (KdV) equation, and the Ostrovsky equation, addressing topics like lump solutions, soliton interactions, and wave modulation. His interdisciplinary work extends to applications in wave energy systems and environmental monitoring, such as sea level prediction in the South Pacific.

Key contributions include studies on reflectionless wave propagation, hydrodynamic models of astrophysical wormholes, and the dynamics of internal solitary waves in rotating fluids. His research bridges theoretical insights with practical environmental and engineering challenges, contributing to advancements in coastal dynamics, oceanography, and nonlinear wave theory.