Title: The Cauchy problem for the Gurevich-Zybin system
Speaker: Feride Tiglay (The Ohio State University)
Speaker's URL: https://math.osu.edu/people/tiglay.1
Abstract: We consider the periodic Cauchy problem for the Gurevich-Zybin system on the n dimensional torus. The GZ system models dark matter as a collision-free gas in an expanding universe. We establish local in-time well-posedness for classical solutions in Sobolev spaces. Moreover, the local in-time result is extended to all time under additional assumptions. In particular, we consider three cosmological eras determined by the universal expansion parameter. In each era, global in time existence is established if the initial density contrast is small and the rate of change of the initial velocity is sufficiently large (joint work with J. Holmes and R. Thompson).
URL associated with Seminar: https://u.osu.edu/aots/
