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Research:

Nonlinear waves, statistical mechanics, wave turbulence, numerical methods. 

Professor Rumpf's research covers topics in applied mathematics and in theoretical physics with an emphasis on statistical methods and on nonlinear dynamics. Focus of his scientific work has been the dynamics of spatially extended systems with applications in solid state physics, fluid mechanics, nonlinear optics, plasma physics and nanosystems. His special interest is the spontaneous formation of regular coherent structures from a turbulent or thermally disordered background. Professor Rumpf collaborates with scientists from TU Chemnitz (Germany), Rensselaer Polytechnic Institute and the University of Arizona. His recent research has appeared in Physical Review Letters, Physical Review E, Europhysics Letters, Annual Reviews of Fluid Mechanics and Physica D, and he has edited a monograph on nonlinear dynamics of nanosystems.