Mon, 30 Jan 2023
16:30
L4

Improved bounds for the fundamental solution of the heat equation in exterior domains

Jose A. Cañizo
(Granada)
Abstract

We use entropy methods to show that the heat equation with Dirichlet boundary conditions on the complement of a compact set in R^d shows a self-similar behaviour much like the usual heat equation on R^d, once we account for the loss of mass due to the boundary. Giving good lower bounds for the fundamental solution on these sets is surprisingly a relatively recent result, and we find some improvements using some advances in logarithmic Sobolev inequalities. In particular, we are able to give optimal asymptotic bounds for large times for the fundamental solution with an explicit approach rate in dimensions larger than 2, and some new bounds in dimension 2.

This is a work in collaboration with Alejandro Gárriz and Fernando Quirós.

Mon, 23 Jan 2023
16:30
L4

Analysis of multi-phase PDE models: from fluids to crowds

Ewelina Zatorska
(Imperial College)
Abstract

This talk will be devoted to our recent developments in the analysis of emerging models for complex flows. I will start from presenting a general PDE system describing two-fluid flows, for which we prove existence of global in time weak solutions for arbitrary large initial data. I will explain where the famous approach of Lions developed for the compressible Navier-Stokes equations fails and how to use a more direct, weighted Kolmogorov criterion to prove compactness of approximating sequences of solutions. Through a formal limit, I will link the two-fluid model to the constrained two-phase models. Applications of such models include modelling of granular flows, crowd motion, or shallow water flow through a channel. The last part of my talk will focus on the rigorous derivation of these models from the compressible Navier-Stokes equations via the vanishing singular pressure or viscosity limit.

Mon, 16 Jan 2023
16:30
L5

Financial illiquidity, Lévy processes and HJB equations

Stefano Marchesani
(Rome La Sapienza)
Abstract

I will present a model for an optimal portfolio allocation and consumption problem for a portfolio composed of a risk-free bond and two illiquid assets. Two forms of illiquidity are presented, both illiquidities based on Lévy processes. The goal of the investor is to maximise a certain utility function, and the optimal utility is found as a solution of a nonlinear PIDE of the Hamilton-Jacobi-Bellman kind.

Two-component 3d atomic bose-einstein condensates support complex stable patterns
Boulle, N Newell, I Farrell, P Kevrekidis, P Physical Review A
Two-component three-dimensional atomic Bose-Einstein condensates supporting complex stable patterns
 Boullé, N Newell, I Farrell, P Kevrekidis, P Physical Review A volume 107 issue 1 (18 Jan 2023)
Gravity from holomorphic discs and celestial $Lw_{1+\infty}$ symmetries
 Mason, L (21 Dec 2022)
D-Egg: a Dual PMT Optical Module for IceCube
 Abbasi, R Ackermann, M Adams, J Aggarwal, N Aguilar, J Ahlers, M Alameddine, J Alves, A Amin, N Andeen, K Anderson, T Anton, G Argüelles, C Ashida, Y Athanasiadou, S Axani, S Bai, X V., A Baricevic, M Barwick, S Basu, V Bay, R Beatty, J Becker, K Tjus, J Beise, J Bellenghi, C BenZvi, S Berley, D Bernardini, E Besson, D Binder, G Bindig, D Blaufuss, E Blot, S Bontempo, F Book, J Borowka, J Meneguolo, C Böser, S Botner, O Böttcher, J Bourbeau, E Braun, J Brinson, B Brostean-Kaiser, J Burley, R Busse, R Campana, M Carloni, K Carnie-Bronca, E Chen, C Chen, Z Chirkin, D Choi, S Clark, B Classen, L Coleman, A Collin, G Connolly, A Conrad, J Coppin, P Correa, P Countryman, S Cowen, D Dappen, C Dave, P De Clercq, C DeLaunay, J López, D Dembinski, H Deoskar, K Desai, A Desiati, P de Vries, K de Wasseige, G DeYoung, T Diaz, A Díaz-Vélez, J Dittmer, M Domi, A Dujmovic, H DuVernois, M Ehrhardt, T Eller, P Engel, R Erpenbeck, H Evans, J Evenson, P Fan, K Fazely, A Fedynitch, A Feigl, N Fiedlschuster, S Fienberg, A Finley, C Fischer, L Fox, D Franckowiak, A Friedman, E Fritz, A Fürst, P Gaisser, T Gallagher, J Ganster, E Garcia, A Garrappa, S Gerhardt, L Ghadimi, A Glaser, C Glauch, T Glüsenkamp, T Goehlke, N Gonzalez, J Goswami, S Grant, D Gray, S Grégoire, T Griffin, S Griswold, S Günther, C Gutjahr, P Haack, C Hallgren, A Halliday, R Halve, L Halzen, F Hamdaoui, H Minh, M Hanson, K Hardin, J Harnisch, A Hatch, P Haungs, A Helbing, K Hellrung, J Henningsen, F Heuermann, L Hickford, S Hidvegi, A Hill, C Hill, G Hoffman, K Hoshina, K Hou, W Huber, T Hultqvist, K Hünnefeld, M Hussain, R Hymon, K In, S Iovine, N Ishihara, A Jansson, M Japaridze, G Jeong, M Jin, M Jones, B Kang, D Kang, W Kang, X Kappes, A Kappesser, D Kardum, L Karg, T Karl, M Karle, A Katz, U Kauer, M Kelley, J Kheirandish, A Kin, K Kiryluk, J Klein, S Kochocki, A Koirala, R Kolanoski, H Kontrimas, T Köpke, L Kopper, C Koskinen, D Koundal, P Kovacevich, M Kowalski, M Kozynets, T Kruiswijk, K Krupczak, E Kumar, A Kun, E Kurahashi, N Lad, N Gualda, C Lamoureux, M Larson, M Lauber, F Lazar, J Lee, J DeHolton, K Leszczyńska, A Lincetto, M Liu, Q Liubarska, M Lohfink, E Love, C Mariscal, C Lu, L Lucarelli, F Ludwig, A Luszczak, W Lyu, Y Ma, W Madsen, J Mahn, K Makino, Y Mancina, S Sainte, W Mariş, I Marka, S Marka, Z Marsee, M Martinez-Soler, I Maruyama, R Mayhew, F McElroy, T McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Meighen-Berger, S Merckx, Y Merten, L Meures, T Micallef, J Mockler, D Montaruli, T Moore, R Morii, Y Morse, R Moulai, M Mukherjee, T Naab, R Nagai, R Naumann, U Necker, J Neumann, M Niederhausen, H Nisa, M Noell, A Nowicki, S Pollmann, A Oehler, M Oeyen, B Olivas, A Orsoe, R Osborn, J O'Sullivan, E Pandya, H Pankova, D Park, N Parker, G Paudel, E Paul, L Heros, C Peterson, J Philippen, S Pieper, S Pizzuto, A Plum, M Popovych, Y Rodriguez, M Pries, B Procter-Murphy, R Przybylski, G Raab, C Rack-Helleis, J Rawlins, K Rechav, Z Rehman, A Reichherzer, P Renzi, G Resconi, E Reusch, S Rhode, W Richman, M Riedel, B Roberts, E Robertson, S Rodan, S Roellinghoff, G Rongen, M Rott, C Ruhe, T Ruohan, L Ryckbosch, D Safa, I Saffer, J Salazar-Gallegos, D Sampathkumar, P Herrera, S Sandrock, A Sandstrom, P Santander, M Sarkar, S Savelberg, J Savina, P Schaufel, M Schieler, H Schindler, S Schlüter, B Schmidt, T Schneider, J Schröder, F Schumacher, L Schwefer, G Sclafani, S Seckel, D Seunarine, S Sharma, A Shefali, S Shimizu, N Shimizu, S Silva, M Skrzypek, B Smithers, B Snihur, R Soedingrekso, J Søgaard, A Soldin, D Spannfellner, C Spiczak, G Spiering, C Stamatikos, M Stanev, T Stein, R Stezelberger, T Stürwald, T Stuttard, T Sullivan, G Taboada, I Ter-Antonyan, S Thompson, W Thwaites, J Tilav, S Tollefson, K Tönnis, C Toscano, S Tosi, D Trettin, A Tung, C Turcotte, R Twagirayezu, J Ty, B Elorrieta, M Upshaw, K Valtonen-Mattila, N Vandenbroucke, J van Eijndhoven, N Vannerom, D van Santen, J Vara, J Veitch-Michaelis, J Verpoest, S Veske, D Walck, C Watson, T Weaver, C Weber, J Weigel, P Weindl, A Weldert, J Wendt, C Werthebach, J Weyrauch, M Whitehorn, N Wiebusch, C Willey, N Williams, D Wisher, I Wolf, M Wrede, G Wulff, J Xu, X Yanez, J Yildizci, E Yoshida, S Yu, F Yu, S Yuan, T Zhang, Z Zhelnin, P (29 Dec 2022)
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