Gradient Flows face-to-face 3

Sep 11, 2023, 9:00 AM → Sep 14, 2023, 2:30 PM Europe/Paris

Salle Fokko-du-Cloux (Université Claude Bernard Lyon I, campus de la Doua.)

Description

This workshop is the third installment in the series "Gradient Flows face-to-face", created to once again allow researchers to meet and discuss gradient flows and related topics after the long period of homeworking and online workshops. It follows the two previous editions, held in September 2021 in Roma and in September 2022 in L'Aquila, respectively. 

The aim is to keep a working group atmosphere and encourage discussions and interactions as much as possible between participants. In order to keep the workshop at a reasonable size and allow for fruitful interactions, the number of participants is limited to approximately 50. Registrations are currently closed.

This year's workshop is fully funded by the ERC advanced grant "Everything You Always Wanted to Know About the JKO Scheme" (EYAWKAJKOS) and will be its launching event.

You can find the schedule of the conference and abstracts here. You can also find the slides of the talks at the bottom of the page or in the timetable section.

List of  Speakers

• Matteo Bonforte (Universidad Autónoma de Madrid) 
• Noemi David (Université Claude Bernard - Lyon 1)
• Marco Di Francesco (Università dell'Aquila)
• Simone Di Marino (Università di Genova)
• Bertram Düring (University of Warwick)
• Matthias Erbar (Universität Bielefeld)
• Antonio Esposito (University of Oxford)
• Ivan Gentil (University Claude Bernard - Lyon 1)
• Anastasiia Hraivoronska (Université Claude Bernard - Lyon 1)
• Valeria Iorio (Università dell'Aquila)
• Lisa Kreusser (University of Bath)
• Philippe Laurençot (CNRS & Université Savoie Mont Blanc - Chambery)
• Stefano Lisini (Università di Pavia)
• José Mazon (Universidad de Valencia)
• Lorenzo Portinale (Hausdorff Center, Bonn)
• Emanuela Radici (Università dell'Aquila)
• André Schlichting (Universität Münster)
• Markus Schmidtchen (TU Dresden)
• Nikita Simonov (Sorbonne Université)
• Artur Stephan (WIAS Berlin)
• Juliette Venel (Université Polytechnique Hauts-de-France)
• Bruno Volzone (Università di Napoli "Parthenope")
• Havva Yoldas (TU Delft)

Organisers 

• Nadia Ansini (Sapienza Università di Roma)
• Aymeric Baradat (CNRS & Université Claude Bernard - Lyon 1)
• Thibault Caillet (Université Claude Bernard - Lyon 1)
• Annette Dumas (Université Claude Bernard - Lyon 1)
• Filippo Santambrogio (Université Claude Bernard - Lyon 1)
• Johannes Zimmer (TU München) 

program+abstracts.pdf

Slides

• Bonforte.pdf
• David.pdf
• DiFrancesco.pdf
• During.pdf
• During1.mp4
• During2.mp4
• During3.mp4
• Erbar.pdf
• Esposito.pdf
• Hraivoronska.pdf
• Iorio.pdf
• Kreusser.pdf
• Laurencot.pdf
• Mazon.pdf
• portinale.pdf
• Radici.pdf
• Simonov.pdf
• Venel.pdf
• Volzone.pdf
• Yoldas.pdf

Monday, September 11

9:00 AM → 9:10 AM welcome address

9:10 AM → 9:40 AM Mazon -- Weak solutions to gradient flows in metric measure spaces

Mazon.pdf

9:50 AM → 10:20 AM Volzone -- New results on nonlinear Aggregation-Diffusion equations with Riesz kernels

Volzone.pdf

10:30 AM → 11:00 AM coffee

11:00 AM → 11:30 AM Stephan -- On time-splitting methods for gradient flows with two dissipation mechanisms

[slides are available upon request]

11:40 AM → 12:10 PM Venel -- A free boundary model describing corrosion process

Venel.pdf

12:20 PM → 3:30 PM Break (lunch at 12.30pm)

3:30 PM → 4:00 PM coffee

4:00 PM → 4:30 PM Yoldas -- Hypocoercivity for run and tumble equations

Yoldas.pdf

4:40 PM → 5:10 PM Erbar -- Variational characterisation of a fuzzy Boltzmann equation method

Erbar.pdf

Tuesday, September 12

9:10 AM → 9:40 AM Esposito -- Graph approximation of nonlocal interaction equations

Esposito.pdf

9:50 AM → 10:20 AM Radici -- Optimal control problems for nonlocal interaction equations

Radici.pdf

10:30 AM → 11:00 AM coffee

11:00 AM → 11:30 AM Iorio -- Second order two-species systems with nonlocal interactions and large damping

Iorio.pdf

11:40 AM → 12:10 PM Portinale -- Stochastic Homogenisation of Discrete Transport Problems

Portinale.pdf

12:20 PM → 3:30 PM Break (lunch at 12.30pm)

3:30 PM → 4:00 PM coffee

4:00 PM → 4:30 PM Gentil -- Gradient flows to prove functional inequalities

4:40 PM → 5:10 PM Bonforte -- Stability in Gagliardo-Nirenberg-Sobolev inequalities: nonlinear flows, regularity and the entropy method

Bonforte.pdf

5:20 PM → 5:50 PM Kreusser -- Γ-convergence of an Ambrosio-Torterelli approximation scheme for image segmentation

Kreusser.pdf

7:30 PM → 9:30 PM social dinner

Wednesday, September 13

9:10 AM → 9:40 AM Laurençot -- Bounded weak solutions to the thin film Muskat problem

Laurencot.pdf

9:50 AM → 10:20 AM Lisini -- On a fractional thin-film equation with non-linear mobility

10:30 AM → 11:00 AM coffee

11:00 AM → 11:30 AM Schmidtchen -- A degenerate Cross-Diffusion system as the inviscid limit of a nonlocal tissue growth model

11:40 AM → 12:10 PM Di Francesco -- Nonlocal particle approximation via Morse potential for the one-dimensional Porous Medium Equation

DiFrancesco.pdf

12:20 PM → 3:30 PM break (lunch at 12.30pm)

3:30 PM → 4:00 PM coffee

4:00 PM → 4:30 PM David -- New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations

David.pdf

4:40 PM → 5:10 PM Simonov -- Fast diffusion equations, tails and convergence rates

Simonov.pdf

Thursday, September 14

9:10 AM → 9:40 AM Schlichting -- EGSYWTK:DLSS - Every gradient structure you want to know for the Derrida-Lebowitz-Speer-Spohn equation

9:50 AM → 10:20 AM Hraivoronska -- The Scahrfetter-Gummel scheme for the aggregationdiffusion equation and vanishing diffusion limit

Hraivoronska.pdf

10:30 AM → 11:00 AM coffee

11:00 AM → 11:30 AM Düring -- A Lagrangian scheme for the solution of nonlinear diffusion equations

During.pdf

During1.mp4

During2.mp4

During3.mp4

11:40 AM → 12:10 PM Di Marino -- surprise

12:20 PM → 2:00 PM end of the workshop (lunch at 1pm)