Athanasios Stylianou

Athanasios Stylianou is a Researcher in the Department of Mathematics at the University of Kassel. His work focuses on mathematical analysis of nonlinear partial differential equations (PDEs) with applications in fluid dynamics, quantum mechanics, and pattern formation. He has held academic positions at the University of Kassel (since 2015), Saarland University (2013–2014), and the University of Cologne, alongside industry experience in engineering (2011–2013).

Research Interests:

• Nonlinear PDEs: Analysis of free boundary problems, bifurcation theory, and Hamiltonian systems.
• Fluid Dynamics: Ferrofluid instabilities (Rosensweig effect), water waves with vorticity, and pattern formation on fluid surfaces.
• Quantum Mechanics: Ground states of Bose-Einstein condensates and dipolar interactions.
• Applied Analysis: Mathematical modeling of physical systems and numerical methods for PDEs.

Key Contributions: His research includes studies on the Hamiltonian structure of water waves, free boundary problems in ferrofluids, and the analysis of plate equations with corners. Recent work explores the dynamics of Bose-Einstein condensates involving quantum fluctuations and three-body interactions.

Labs/Teams: Active within the Analysis group at the University of Kassel, collaborating on interdisciplinary projects in fluid dynamics and mathematical physics.