Pierre-Louis Lions, Collège de France On Mean Field Games Tuesday, October 29 2019, at 14:40 Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa | |
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Roger Penrose, University of Oxford On the Power of Geometric Illustration in Mathematics and Science Tuesday, October 29 2019, at 16:00 Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa | |
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Lorenzo Zambotti, Sorbonne Université, Parigi Regularity structures: from physics to probability, from analysis to algebra, from combinatorics to geometry Monday, October 28 2019, at 16:00 U3-07 dell'edificio U3 (piano terra, Piazza della Scienza), Università di Milano-Bicocca, in Via Cozzi 55 |
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Paul H. Rabinowitz, University of Wisconsin, Madison Mountain pass structure, non-degeneracy conditions and variational gluing Friday, September 20 2019, at 14:00 Sala di Rappresentanza, Via C. Saldini 50 |
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Radu Laza, Stony Brook The LLV decomposition for hyper-Kaehler cohomology Friday, July 12 2019, at 14:30 Sala di Rappresentanza, Via C. Saldini 50 |
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Lorenzo Giacomelli, Università La Sapienza, Roma The mathematics of spreading droplets Monday, June 24 2019, at 16:30 precise Sala Consiglio, 7 piano, Edificio La Nave, Via Ponzio 31-33 |
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Abstract
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Wetting phenomena at small scales are an area where chemistry,
physics, mathematics, and engineering intersect. In recent years,
driven also by molecular dynamics, new concepts have been introduced
to describe the statics and dynamics of wetting, allowing new
insights into the old problems of surface forces. Among these
problems, two prominent ones are an appropriate mathematical modeling
of the moving contact line where liquid, solid, and surrounding vapor
meet, and how such models influence the macroscopic properties of the
flow. After a general framing -- the classical setting of droplets'
statics and dynamics, diffuse and sharp interface models, classical
and new descriptions of the contact line -- I shall review the PDE
theory for one of such models -- the so-called thin-film equation --, mainly focusing on the two aforementioned problems and on some of the most interesting current challenges. |
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