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Riemann Prize Week

10-14 July 2023

Time left

VII RISM School
Director: Luigi Ambrosio
Topic: Exotic solutions and well posedness in ODE’s and PDE’s
Villa Toeplitz, Varese

Lezione Leonardesca
palazzo di Brera - Istituto Lombardo Accademia di Scienze e Lettere, Milan

Riemann Prize Celebration
University of Insubria, Varese

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Courses

Regularisation by noise for ODEs and PDEs

Speaker: Franco Flandoli

Abstract: Standing the fact that many fluid mechanic equations do not have uniqueness of weak solutions, or regular solutions are not known to be global, in the last two decades there has been an intense activity to understand whether random perturbations may regularize the equations.

In finite dimensions, or for linear PDEs with a Lagrangian side, several results of restoration of uniqueness by noise have been proved; they will be illustrated in the first part of the lectures. However, for nonlinear PDEs they do not work well and several counterexamples have been proved.

On the contrary, it seems that noise may help to prevent blow-up for certain equations, possibly including the vorticity field of 3D Navier-Stokes equations. These delays of blow-up results will be described in the second part of the lectures.

Self-similarity, singularity, and non-uniqueness in partial differential equations of fluids dynamics.

Speaker: Dallas Albritton

Abstract: Self-similarity is a key ingredient in recent work on singularity formation in the Euler equations (Elgindi; Hou and Chen) and non-uniqueness in the Euler equations (Bressan, Murray, and Shen; Vishik) and Navier-Stokes equations (Jia, Sverak, and Guillod; A., Brué, and Colombo), with contributions by many more.

The goal of this course is to familiarize the audience with the kind of self-similarity analysis which appears in the above works and will continue to play an important role in the development of the field.

Speakers:

  • Hyunju Kwon (ETH, Zürich)
  • Samuel Punshon-Smith (Tulane University, New Orleans, USA)
  • William Cooperman (University of Chicago, IL, USA)
  • Umberto Pappalettera (Scuola Normale Superiore, Pisa, IT)
  • Francesco Grotto (Scuola Normale Superiore, Pisa, IT)
  • Paolo Bonicatto (University of Warwick, Coventry, UK)
  • Laurel A. Ohm (Princeton, NJ, USA)
  • Anuj Kumar (UC Santa Cruz, CA, USA)
  • Stefano Bianchini (SISSA, Trieste, IT)
  • Nicola De Nitti (FAU, Erlangen, DE)
  • Gianluca Crippa (Universität Basel, CH)

Organizing Committee:

  • Luigi Ambrosio (Scuola Normale Superiore, Pisa)
  • Elia Brué (Scuola Normale Superiore, Pisa)
  • Maria Colombo (EPFL, Losanna)

Tentative Schedule

Monday, July, 10th

9:00

Registration

9:00

9:30

Albritton

Albittron

11:00

Coffee break

11:00

11:30

Crippa

Crippa

12:30

Lunch

12:30

16:30

Lezione Leonardesca

Matching probability measures: a problem at the interface between combinatorics, probability and analysis

Leonardo da Vinci Lecture by the Riemann Prize Laureate at sala di lettura della biblioteca Braidense, Palazzo Brera, Milano

 

Tuesday 11th

9:00

Flandoli

Flandoli

9:00

10:30

Coffee break

11:00

Albritton

Albritton

11:00

12:30

Lunch

14:00

Ohm

Ohm

14:00

15:00

Punchon-Smith

Punchon-Smith

16:00

Coffee break

16:00

16:30

Flandoli

Flandoli

Wednesday 12th

9:00

Flandoli

Flandoli

9:00

10:30

Coffee break

11:00

Albritton

Albittron

11:00

12:30

Lunch

14:00

Kwon

Kwon

14:00

15:00

Kumar - Cooperman

16:00

Coffee break

16:00

16:30

Albritton

Thursday 13th

9:00

Flandoli

Flandoli

9:00

10:30

Coffee break

11:00

De Nitti

De Nitti

11:00

11:30

Bianchini

Bianchini

12:30

Lunch

12:30

14:00

Bonicatto

Bonicatto

15:00

Pappalettera

Pappalettera

15:00

16:00

Coffee break

16:30

Grotto

Grotto

16:30

18:30

Social trip to Sacro Monte

We will visit also the Cript and Casa Museo Pogliaghi

20:00

Social dinner

at Location Camponovo

20:00

Friday 14th

10:30

Riemann Prize Ceremony

in Varese main rector building Aula Magna

 

10:30

Opening at the presence of authorities

Interview to the awardee by Umberto Bottazzini

Award ceremony

Award ceremony and delivery of the Riemann Prize sculpture by Marcello Morandini and the Riemann Medal

Riemann Lecture by Luigi Ambrosio

Music tribute

 by Corrado Greco (piano) and Francesca Lombardi Mazzulli (soprano)

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Villa Toeplitz

Via G.B. Vico, 46
21100 Varese VA


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