Noticias

Fecha: 20 de mayo de 2022.
Hora: 12 horas.
Lugar: aula A-22.

Ponente: Dña. María del Carmen Aguilera Morillo, egresada de la UGR diplomada y licenciada en ciencias y técnicas estadísticas, máster (MOEA-UGR) profesora en la universidad Politécnica de Valencia.

Organiza: Grado en Estadística.

Fecha: 19 de mayo de 2022.
Hora: 12:30 a 13:30.
Lugar: Aula B01. 

Ponente: Prof. Matej Kanduc (Jožef Stefan Institute, Ljubljana, Eslovenia). 

Adsorption of amphiphilic molecules to aqueous interfaces occurs in many technological and biological settings, sometimes desired (stabilization of foams), while other times not (contamination). I will discuss how atomistic computer simulations can help us elucidate molecular mechanisms of surfactant adsorption, ranging from short-chain alcohols to double-tail lipids.

Small surfactants form loose monolayers and exhibit rapid exchange between the interface and bulk, which can be followed in the simulations. Surfactants with longer alkyl chains adsorb as denser monolayers and exchange on experimental timescales that are too slow to be captured in simulations, which challenges molecular modeling. The modeling of this regime requires advanced computational techniques that connect interface and bulk phases via precise determinations of their chemical potentials. Finally, double-chain surfactants (also called "lipids") do not exchange between bulk and interface both on experimental and simulation timescales. They exist as bilayer aggregates already in solution and adsorb to surfaces in the form of monolayers only under certain conditions. As it turns out, a universal determiner for adsorption is the wetting contact angle of the surface. Only surfaces with contact angles larger than around 60-70° are capable of forming lipid monolayers.

Organiza el Grupo de Física de Fluidos y Biocoloides de la UGR.

Fecha: Jueves 12 de mayo de 2022.
Hora: 12:00.
Lugar: Aula A25 de la Facultad de Ciencias de la UGR.

Traveling waves for the nonlocal Gross-Pitaevskii equation

Ponente: Salvador López Martínez, Universidad Autónoma de Madrid.

Abstract: In their seminal works, Gross and Pitaevskii proposed a Schrödinger type PDE to model a Bose gas. The nonlinearity in the equation presents a convolution with a potential that represents the interaction between the particles in the gas. Thus, the equation is nonlocal unless the potential is a Dirac delta, which corresponds to a repulsive contact interaction. This is a typical approximation and the problem in this local case has been extensively studied. In the talk we will consider more general interactions and present some new results on the existence of "dark solitons", which in our context are finite-energy traveling wave solutions that do not vanish at infinity. We will also introduce some qualitative results about these dark solitons, such as regularity and asymptotic behavior at infinity. This is a joint work with André de Laire (Université de Lille).

Nonlinear non-local Fokker-Planck equations modelling networks of integrate and fire neurons at the mesoscopic scale

Ponente: Pierre Roux, University of Oxford.

Abstract: The emergence of patterned activity in a neural network are key processes in human and animal brains. However, since they often arise from the interplay between a large number of cells, these mechanisms are very difficult to encompass whithout the use of simple, consistent and self-contained mathematical models. In this talk, I shall present some nonlinear partial differential models obtained from mean-field techniques applied to particle systems. I will be focussing in particular on the so-called Nonlinear Noisy Leaky Integrate and Fire (NNLIF) model (a non-linear non-local Fokker-Planck-type equation) for which we have, my collaborators and myself, obtained some new results and insights about the convergence to stationary states (de synchronisation), the emergence and the shape of periodic self-sustained oscillations and the finite-time blow-up (synchronisation).

Fecha: Jueves 12 de mayo de 2022.
Hora: 9:00 - 14:00h.

Charla divulgativa a cargo de la profesora Ma. Mar Rueda (Dpto. Estadística e Investigación Operativa).
Centros participantes: IES Manuel de Falla de Maracena.

MatEduca es un proyecto para mostrar la actividad investigadora que se desarrolla en el IMAG, Instituto de Matemáticas de la Universidad de Granada. Se trata de actividades dirigidas a estudiantes de Secundaria de Granada y provincia con el objetivo de poner en valor la investigación en Matemáticas. Se realizarán diversas sesiones durante el curso académico 2021/2022 en las que los estudiantes de enseñanzas medias podrán visitar las instalaciones del Instituto de Matemáticas de nuestra Universidad y tendrán interacción con investigadores e investigadoras en Matemáticas de la UGR a través de charlas, juegos y concursos.