Benjamin Schlein, University of Zurich
Landau–Pekar equations and quantum fluctuations for the dynamics of a polaron
Lunedì 20 Settembre 2021, ore 17:00
https://polimi-it.zoom.us/j/82145408841?pwd=VTZxUVJrYVRjQUltTC9ISnNBbzg3QT09 | |
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Jean Dolbeault, Université Paris Dauphine
Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results
Martedì 06 Luglio 2021, ore 17:00
https://polimi-it.zoom.us/j/81798558580 |
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Abstract
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Interpolation inequalities play an essential role in Analysis with fundamental consequences in Mathematical Physics, Nonlinear Partial Differential Equations (PDEs), Markov Processes, etc., and have a wide range of applications in various areas of Science. Research interests have evolved over the 80 years: while mathematicians were originally focussed on abstract properties (like notions of weak solutions and Cauchy problem in PDEs), more qualitative questions (for instance, bifurcation diagrams, multiplicity of the solutions in PDEs and their qualitative behaviour) progressively emerged. Entropy methods for nonlinear PDEs is a typical example: in some cases, the optimal constant in the inequality can be interpreted as the optimal rate of decay of an entropy for an associated evolution equation. Much more can be learned on the way.
This lecture is intended to give an overview of various results on some Gagliardo-Nirenberg-Sobolev and Caffarelli-Kohn-Nirenberg inequalities obtained during the last decade. It will not be a global picture of an active area of research but more a series of snapshots aiming at the illustration of some emerging tools and new directions of research. |
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Jacopo De Simoi, University of Toronto
Dynamical rigidity of convex billiards
Lunedì 21 Giugno 2021, ore 17:00
https://zoom.us/j/91544493126?pwd=cHVlNEFkZ1lHWjNONG9kWHdoaGwxQT09 | |
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Leszek Demkowicz, Oden Institute, The University of Texas at Austin
The DPG Method for Convection-Reaction Problems
Lunedì 10 Maggio 2021, ore 17:00
https://us02web.zoom.us/j/81021076857 | |
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Ernesto De Vito, Università di Genova
Machine Learning as an inverse problem
http://On line
Lunedì 03 Maggio 2021, ore 16:00
https://us02web.zoom.us/j/5772228296 | |
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Ricardo H. Nochetto, University of Maryland
Local discontinuous Galerkin methods for prestrained and bilayer plates
Lunedì 12 Aprile 2021, ore 17:00
https://us02web.zoom.us/j/87144322081 | |
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