Schedule for: 23w6003 - Nonlinear Diffusion and nonlocal Interaction Models - Entropies, Complexity, and Multi-Scale Structures

Beginning on Sunday, May 28 and ending Friday June 2, 2023

All times in Granada, Spain time, MDT (UTC-6).

Sunday, May 28
16:00 - 17:30 Check-in begins at 16:00 on Sunday and is open 24 hours (Front Desk - Hotel Granada Center)
19:00 - 20:00 Informal gathering (Other (See Description))
Monday, May 29
07:00 - 08:45 Breakfast (Restaurant - Hotel Granada Center)
09:00 - 09:30 Introduction and Welcome by IMAG Staff (Main Meeting Room - Calle Rector López Argüeta)
09:30 - 10:15 Juan Luis Vazquez: Nonlinear Diffusion Equations driven by Fractional Operators (Main Meeting Room - Calle Rector López Argüeta)
10:15 - 10:45 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:00 - 11:30 Xavier Fernández-Real: Infinite-width limit of deep linear neural networks (Main Meeting Room - Calle Rector López Argüeta)
11:30 - 12:15 Matteo Muratori: Nonlinear diffusion on Riemannian manifolds: a strong connection with stochastic incompleteness (Main Meeting Room - Calle Rector López Argüeta)
12:15 - 13:00 Bruno Volzone: Recent developments on some nonlinear anisotropic diffusion equations (Main Meeting Room - Calle Rector López Argüeta)
13:15 - 14:45 Lunch (Restaurant - Hotel Granada Center)
14:45 - 15:30 Jean Dolbeault: Nonlinear diffusions, entropies and stability in functional inequalities (Main Meeting Room - Calle Rector López Argüeta)
15:30 - 16:00 Federico Franceschini: A case study for free boundary regularity: the obstacle problem (Main Meeting Room - Calle Rector López Argüeta)
16:00 - 16:30 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
16:30 - 17:00 Megan Griffin-Pickering: Recent results on the quasi-neutral limit for the ionic Vlasov-Poisson system (Main Meeting Room - Calle Rector López Argüeta)
17:00 - 17:30 Raphael Winter: Well-posedness of the Lenard-Balescu equation with smooth interactions (Main Meeting Room - Calle Rector López Argüeta)
19:00 - 21:00 Dinner (Restaurant - Hotel Granada Center)
Tuesday, May 30
07:00 - 09:00 Breakfast (Restaurant - Hotel Granada Center)
09:00 - 09:45 Giuseppe Savare: A Lagrangian approach to dissipative evolutions of probability measures. (Main Meeting Room - Calle Rector López Argüeta)
09:45 - 10:30 Alexander Mielke: EDP-convergence for gradient systems and Non-Equilibrium Steady States (Main Meeting Room - Calle Rector López Argüeta)
10:30 - 11:00 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:15 - 11:45 David Gomez Castro: Newtonian vortex equations with non-linear mobility (Main Meeting Room - Calle Rector López Argüeta)
11:45 - 12:15 Emanuela Radici: Stability of quasi-entropy solutions for nonlocal scalar conservation laws (Main Meeting Room - Calle Rector López Argüeta)
12:15 - 13:00 Adriana Garroni: Homogenisation of non local phase transition models and application to crystal plasticity (Main Meeting Room - Calle Rector López Argüeta)
13:00 - 13:15 Group Photo (Main Meeting Room - Calle Rector López Argüeta)
13:15 - 14:45 Lunch (Restaurant - Hotel Granada Center)
14:45 - 15:30 Simone Di Marino: On curvature and Five Gradients Inequality on Manifolds (Main Meeting Room - Calle Rector López Argüeta)
15:30 - 16:00 Stephan Wojtowytsch: Convergence to an invariant distribution for stochastic gradient descent (Main Meeting Room - Calle Rector López Argüeta)
16:00 - 16:30 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
16:30 - 17:00 Gissell Estrada-Rodriguez: Diffusion and superdiffusion in complex domains: Introduction of a networks of subdomains (Main Meeting Room - Calle Rector López Argüeta)
17:00 - 17:30 Nikita Simonov: Stability in Gagliardo-Nirenberg-Sobolev inequalities (Front Desk - Hotel Granada Center)
17:30 - 18:00 Alexandre Rege: Propagation of velocity moments for the magnetized Vlasov–Poisson system (Front Desk - Hotel Granada Center)
19:00 - 21:00 Dinner (Restaurant - Hotel Granada Center)
Wednesday, May 31
07:00 - 09:00 Breakfast (Restaurant - Hotel Granada Center)
09:00 - 09:45 Jose Carrillo: Criticality in Cahn-Hilliard models: a gradient flow perspective (Main Meeting Room - Calle Rector López Argüeta)
09:45 - 10:30 Yao Yao: Suppression of chemotactic blow up by active advection (Main Meeting Room - Calle Rector López Argüeta)
10:30 - 11:00 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:15 - 11:45 Markus Schmidtchen: A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model (Main Meeting Room - Calle Rector López Argüeta)
11:45 - 12:15 Antonio Esposito: Graph-to-local limit for the nonlocal interaction equation (Main Meeting Room - Calle Rector López Argüeta)
12:15 - 13:00 Filippo Santambrogio: New Lipschitz estimates in nonlinear diffusion (Main Meeting Room - Calle Rector López Argüeta)
13:15 - 14:45 Lunch (Restaurant - Hotel Granada Center)
14:45 - 20:00 Free Afternoon (Other (See Description))
20:30 - 22:00 Social dinner at Carmen de la Victoria (Other (See Description))
Thursday, June 1
07:00 - 09:00 Breakfast (Restaurant - Hotel Granada Center)
09:00 - 09:45 Francois Golse: Local Regularity for the Landau Equation (Main Meeting Room - Calle Rector López Argüeta)
09:45 - 10:30 Maria Gualdani: Recent results on the spatial homogeneous Landau equation (Main Meeting Room - Calle Rector López Argüeta)
10:30 - 11:00 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:15 - 11:45 Josephine Evans: Existence and stability of a non-spatially homogeneous non-equilibrium steady state for a BGK model coupled to a thermostat (Main Meeting Room - Calle Rector López Argüeta)
11:45 - 12:15 Matias Delgadino: Propagation of chaos for weakly interacting diffusions (Main Meeting Room - Calle Rector López Argüeta)
12:15 - 13:00 Clement Mouhot: Trajectory approach to De Giorgi theory (Main Meeting Room - Calle Rector López Argüeta)
13:15 - 14:45 Lunch (Restaurant - Hotel Granada Center)
14:45 - 15:30 Dejan Slepcev: Geometry of sliced optimal transport and projected-transport gradient flows (Main Meeting Room - Calle Rector López Argüeta)
15:30 - 16:00 Nicolas Garcia Trillos: Adversarial training through the lens of optimal transport. (Main Meeting Room - Calle Rector López Argüeta)
16:00 - 16:30 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
16:30 - 17:00 Matthew Jacobs: Lagrangian solutions to the Porous Media Equation (and friends) (Main Meeting Room - Calle Rector López Argüeta)
17:00 - 17:45 Rupert Frank: Fast diffusion leads to partial mass concentration in Keller-Segel type stationary solutions
20:00 - 21:30 Dinner (Restaurant - Hotel Granada Center)
Friday, June 2
07:00 - 09:00 Breakfast (Restaurant - Hotel Granada Center)
08:00 - 11:00 Checkout by 11AM (Front Desk - Hotel Granada Center)
09:15 - 10:00 Laurent Desvillettes: Fast reaction limits leading to cross diffusion systems (Main Meeting Room - Calle Rector López Argüeta)
10:00 - 10:30 Havva Yoldaş: An asymptotic-preserving scheme for parabolic equations of Lotka-Volterra type (Main Meeting Room - Calle Rector López Argüeta)
10:30 - 11:00 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:00 - 11:45 José A. Cañizo: Stability and instability for the nonlinear integrate-and-fire neuron model (Main Meeting Room - Calle Rector López Argüeta)
11:45 - 12:15 Angeliki Menegaki: Quantitative framework for hydrodynamic limits (Main Meeting Room - Calle Rector López Argüeta)
12:15 - 13:00 Irene M. Gamba: Weak turbulence modeled by quasilinear diffusion for electrostatic and highly magnetized plasma systems (Main Meeting Room - Calle Rector López Argüeta)
13:15 - 14:45 Lunch (Restaurant - Hotel Granada Center)