SEMINARIO EDP - PDE SEMINAR
UAM - ICMAT
Próximos eventos - Upcoming events
12 de abril de 2024 (Viernes) - 12 April 2024 (Friday)
Aula Gris 1, ICMAT
Seminario doble - Double seminar
12:30 Mª Ángeles García-Ferrero (ICMAT)
From measurements to the unknown in the Calderón problem
13:15 ☕Coffee Break☕
13:45 Manuel Garzón (ICMAT)
Periodic dynamics of a charged particle in electromagnetic fields with singularities
Resúmenes - Abstracts
AbstractMAGarciaFerrero.pdfAbstractMGarzon.pdf eventos anteriores- Past events
15 de marzo de 2024 (Viernes) - 15 March 2024 (Friday)
Aula 520, Módulo 17, Facultad de Ciencias, UAM
Seminario doble - Double seminar
12:30 Jing Wu (UAM)
Modica type estimates and curvature results for overdetermined elliptic problems
13:15 ☕Coffee Break☕
13:45 Luca Battaglia (Università degli Studi Roma Tre)
A mean field approach for the double curvature prescription problem
Resúmenes - Abstracts
AbstractJWu.pdfAbstractLBattaglia.pdf 16 de febrero de 2024 (Viernes) - 16 February 2024 (Friday)
Aula 520, Módulo 17, Facultad de Ciencias, UAM
Seminario doble - Double seminar
12:30 Matteo Bonforte (UAM)
Stability in Gagliardo–Nirenberg–Sobolev inequalities: nonlinear flows, regularity and the entropy method
13:15 ☕Coffee Break☕
13:45 Ángel Castro (ICMAT)
Time-periodic solutions near shear flows
Resúmenes - Abstracts
AbstractMBonforte.pdfAbstractACastro.pdf 23 de noviembre de 2023 (jueves) - 23 November 2023 (Thursday)
UAM (Aula 520, Departamento de Matemáticas)
15:40-16:10 Ali Hyder (TIFR-CAM Bangalore)
Blow-up analysis of stationary solutions to a Liouville-type equation in 3-D.
Resumen - Abstract
Contrary to the two dimensional case, the Liouville equation in dimension three and higher is supercritical, and in particular it admits singular solutions. We will talk about partial regularity results of stationary weak solutions. Our approach is based on blow-up analysis and a monotonicity formula.
8 de noviembre de 2023 (Miércoles) - 8 November 2023 (Wednesday)
UAM (Aula 420, Departamento de Matemáticas)
12:30 Taehun Lee (Korea Institute for Advanced Study)
Regular solutions to the L_p Minkowski problem.
Resumen - Abstract
A cornerstone of the Brunn--Minkowski theory is the Minkowski problem initiated by Minkowski himself over a century ago. This problem characterizes measures generated by convex bodies and has been generalized to the $L_p$ Minkowski problem. In recent years, much of the interest in the $L_p$ Minkowski problem has migrated to the study of regular solutions. In this talk, we discuss recent developments in this field, focusing on the regularity of convex bodies. We completely describe the range of $p$ for which solutions are regular. This talk is based on joint work with Kyeongsu Choi and Minhyun Kim.
9 de octubre de 2023 (Lunes) - 9 October 2023 (Monday)
ICMAT (Aula Gris 2)
10:40 Dragos Manea (Institute of Mathematics of the Roman Academy)
Concentration limit for non-local dissipative convection-diffusion kernels on the hyperbolic space
11:20 Liviu Ignat (Institute of Mathematics of the Roman Academy)
Asymptotic behavior of solutions for some diffusion problems on metric graphs.
Resúmenes - Abstracts
Title: Concentration limit for non-local dissipative convection-diffusion kernels on the hyperbolic space
Abstract: We study a non-local, non-linear convection-diffusion equation on the hyperbolic space $\mathbb{H}^N$, governed by two kernels, one for each of the diffusion and convection parts. One main novelty is the constucion of the non-symmetric convection kernel defined on the tangent bundle and invariant under the geodesic flow. Next, we consider the relaxation of this model to a local problem, as the kernels get concentrated near the origin of each tangent space. Under some regularity and integrability conditions, we prove that the solution of the concentrated non-local problem converges to that of the local convection-diffusion equation. We prove and then use in this sense a compactness tool on manifolds inspired by the work of Bourgain-Brezis-Mironescu.
Title: Asymptotic behavior of solutions for some diffusion problems on metric graphs.
Abstract: In this talk we present some recent result about the long time behavior of the solutions for some diffusion processes on a metric graph. We study evolution problems on a metric connected finite graph in which some of the edges have infinity length. We show that the asymptotic behaviour of the solutions of the heat equation (or even some nonlocal diffusion problems) is given by the solution of the heat equation, but on a star shaped graph in which there is only one node and as many infinite edges as in the original graph. In this way we obtain that the compact component that consists in all the vertices and all the edges of finite length can be reduced to a single point when looking at the asymptotic behaviour of the solutions. We prove that when time is large the solution behaves like a gaussian profile on the infinite edges. When the nonlinear convective part is present we obtain similar results but only on a star shaped tree. This is a joint work with Cristian Cazacu (University of Bucharest), Ademir Pazoto (Federal University of Rio de Janeiro), Julio D. Rossi (University of Buenos Aires) and Angel San Antolin (University of Alicante).