Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Analysis of the adhesion model in cosmology
The adhesion model is a multidimensional model of mass transport in cosmology in a perturbed Einstein-de Sitter universe, which reduces to sticky particle flow in 1D. Velocity is given by a Hopf-Lax formula and concentrates mass on sheets, filaments and points, but it is known that momentum is not conserved in general. Work in the astronomy literature by Brenier, Frisch and collaborators relates the problem of reconstructing the primeval velocity distribution to an optimal mass transport problem. We carry out a mathematical analysis of the initial value problem, establishing a number of basic facts, including the uniqueness of the propagated mass measure and a characterization of its absolutely continuous part in terms of a natural Monge-Ampère transport map. This is a joint work with Bob Pego of CMU.
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