Yakir Aharonov, Chapman University
A new approach to quantum mechanics
Tuesday, June 18 2019, at 16:00 precise
Sala Consiglio, 7 piano, Edificio La Nave, Via Ponzio 31-33 | |
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Rostislav Grigorchuk, Texas A&M University
'Strange' rational maps and spectra of graphs and groups
Thursday, June 13 2019, at 16:30 precise
'Aula U5-3014 (Edificio 5, terzo piano) del Dipartimento di Matematica e Applicazioni dell'Università di Milano-Bicocca, Via Cozzi 55 | |
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Daniele Struppa, Chapman University
Superoscillations and approximation of generalized functions
Monday, June 10 2019, at 15:15 precise
Sala Consiglio, 7 piano, Edificio La Nave, Via Ponzio 31-33 | |
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Alberto Bressan, Pennsylvania State University
Multiple solutions for the 2-dimensional Euler equations
Monday, May 27 2019, at 16:00 precise
Aula U5-3014 (Edificio 5 terzo piano), Dip. Matematica e Applicazioni, Via Cozzi 55, Milano |
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Abstract
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In one space dimension, it is well known that hyperbolic conservation
laws have unique entropy-admissible solutions, depending continuously on
the initial data. Moreover, these solutions can be obtained as limits of
vanishing viscosity approximations.
For many years it was expected that similar results would hold in
several space dimensions. However, fundamental work by De Lellis,
Szekelyhidi, and other authors, has shown that multidimensional
hyperbolic Cauchy problems usually have infinitely many weak solutions.
Moreover, all known entropy criteria fail to select a single admissible one.
In the first part of this talk I shall outline this approach based on a
Baire category argument, yielding the existence of infinitely many weak
solutions.
I then wish to discuss an alternative research program,
aimed at constructing multiple solutions to some specific Cauchy
problems. Starting with some numerical simulations, here the eventual
goal is to achieve rigorous, computer-aided proofs of the existence of
two distinct self-similar solutions with the same initial data.
While solutions obtained via Baire category have turbulent nature, these
self-similar solutions are smooth, with the exception of one or two
points of singularity. They are thus much easier to visualize and
understand. |
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Roberto Natalini, Istituto per le Applicazioni del Calcolo - CNR - Roma
Modelli matematici degli aggregati cellulari: Batteri, protisti, cellule staminali
Monday, May 13 2019, at 16:00
Sala di Rappresentanza, Dipartimento di Matematica, Via C. Saldini 50, Milano | |
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Andrea Cianchi, Università di Firenze
Regularity for the p-Laplace equation and system in minimally regular domains
Wednesday, May 08 2019, at 16:00
Aula Seminari del 6 piano, Edificio La Nave, Via Ponzio 32-34 | |
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