Care tutte, cari tutti, la prossima settimana, per il ciclo dei Seminari di Analisi, ci saranno due eventi:
martedì 16 aprile, alle ore 17:00 in Aula Seminari, avremo il piacere di ascoltare Stefanos Georgiadis (KAUST), che terrà un seminario https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6 dal titolo "Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system";
giovedì 18 aprile, alle ore 17:00 (+ merenda alle 16:45) in Aula Riunioni, avremo il piacere di ascoltare Anna Kausamo (Università degli Studi di Firenze), che terrà un seminario https://www.dm.unipi.it/en/seminar/?id=6617a944282479bbfbbf84a2 dal titolo "The sufficiency of c-cyclical monotonicity for the optimality of transport plans".
Trovate qui sotto gli abstract. A presto, Ilaria Lucardesi e Luigi Forcella
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Dear all, next week, for the Mathematical Analysis Seminar, there will be two seminars:
on Tuesday 16th April at 5PM, in "Aula Seminari", we will have the pleasure of listening to Stefanos Georgiadis (KAUST). The title of the talkhttps://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6 is "Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system";
on Thursday 18th April at 5PM (+ snack at 4:45PM), in "Aula Riunioni", we will have the pleasure of listening to Anna Kausamo (Università degli Studi di Firenze). The title of the talkhttps://www.dm.unipi.it/en/seminar/?id=6617a944282479bbfbbf84a2 is "The sufficiency of c-cyclical monotonicity for the optimality of transport plans".
Please find below the two abstracts. See you soon, Ilaria Lucardesi and Luigi Forcella
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Speaker: Stefanos Georgiadis (KAUST) Title: Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system Abstract: Cross-diffusion systems are strongly coupled parabolic systems describing phenomena in which multiple species diffuse and interact with one another, e.g. in fluid mechanics or population dynamics. Although many methods have been developed to study existence of weak solutions to such systems, uniqueness is in general an open problem. To this degree, we study a particular cross-diffusion system, known as the Maxwell-Stefan system which describes diffusive phenomena in a multicomponent system of gases. We employ renormalized solutions and give conditions under which such solutions are unique. We, then, study the relation between weak and renormalized solutions, allowing us to identify conditions that guarantee uniqueness of weak solutions. The proof is based on an identity for the evolution of the symmetrized relative entropy. Using the method of doubling the variables we derive the identity for two renormalized solutions and use information on the spectrum of the Maxwell-Stefan matrix to estimate the symmetrized relative entropy and show uniqueness.
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Speaker: Anna Kausamo (Univ. Firenze) Title: The sufficiency of c-cyclical monotonicity for the optimality of transport plans Abstract: c-cyclical monotonicity is the most important optimality condition of a transport plan. In this talk I will present a Gamma-convergence-based strategy, developed by myself and Luigi De Pascale, to prove the sufficiency of cyclical monotonicity for optimality in the multi-marginal $L^\infty$-optimal transport case that had previously been elusive.