Philippe Guyenne

Philippe Guyenne is a Professor in the Department of Mathematical Sciences at the University of Delaware, affiliated with the College of Arts & Sciences. His research focuses on nonlinear wave phenomena in fluids, with applications to oceanography and coastal engineering.

• Nonlinear water waves
• Wave breaking dynamics
• Complex fluid-structure interactions
• Hamiltonian systems
• Wave turbulence
• Biomechanics applications

Guyenne employs advanced numerical methods and mathematical modeling to study wave behavior, including validation against laboratory experiments and field measurements. Recent work explores connections between surface wave dynamics and quantum mechanics analogies.

His publications highlight interdisciplinary impacts in computer graphics, climate modeling, and acoustics. Research themes include:

• Fluid-structure interactions in bone acoustics
• Stochastic modeling of random topography effects
• Coherent wave superposition mechanisms
• Hamiltonian formulations for physical oceanography
• Optical flow estimation using fluid dynamics
• Weak turbulence kinetic theory