Perspectives on the nonlinear dynamics of warped astrophysical discs

Gordon Ogilvie, DAMTP, University of Cambridge. Part of the Applied Mathematics seminar series

Thin astrophysical discs are highly supersonic fluid flows dominated by orbital motion around a central mass. In many situations the orbits can become misaligned, leading to a warped disc. The gas  dynamics of a warped Keplerian disc is an especially rich problem involving linear and nonlinear resonances of coupled oscillators, as well as instabilities on small and large scales. I will give an overview of the mathematical methods and physical models that have been used to study this problem, including global asymptotic analysis, local representations, Hamiltonian approaches and affine models, and the progress that has been made so far.


Meeting ID: 864 9492 6540

Passcode: 428621