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Seminario Matematico e Fisico di Milano
Piazza Leonardo da Vinci, 32 - 20133 Milano
Head of Seminar: Paolo Stellari
      
Deputy Head: Gabriele Grillo
      
Secretary: Giona Veronelli

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Year 2026

Seminario Matematico e Fisico di Milano
Marcel Guardia
Universitat de Barcelona
Unstable motions in Celestial Mechanics

Wednesday, March 04 2026, at 14:30
aula C03 - Via Mangiagalli 25 - Università degli Studi di Milano
Abstract
Seminario Matematico e Fisico di Milano
Luigi Ambrosio
SNS Pisa
Well posedness of ODE's for nonsmooth velocities and in non Euclidean ambient spaces: a survey

Wednesday, January 28 2026, at 14:00
aula U6-30, Dipartimento di Matematica e Applicazioni - Università Milano - Bicocca
Abstract
In this lecture I will make a survey of the theory of regular lagrangian flows, that allows to prove existence, uniqueness and stability for ODE's associated to vector fields with little regularity, beyond the classical Cauchy-Lipschitz theory. Initiated in a work by Di Perna and Lions who dealt with Sobolev vector fields, the RLF axiomatization provides natural links with Probability. More recent developments, including the regularity of the flow map, counterexamples and the case when even the ambient space is not smooth, will be discussed.