Seminar April 16, 2025

Seminar April 16, 2025

por | abr 3, 2025 | Sem categoria

Seminar in EDP and Applied Mathematics

April 16 , 2025 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA 

Youtube Channel

Event

About Seminars

Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.

Featured Talks & Speakers

Alessio Figalli

ETH Zurich | Department of Mathematics,Switzerland

14:00h – 14:40h

Free boundary regularity for the obstacle problem

The classical obstacle problem consists of finding the equilibrium position of an elastic membrane whose boundary is held fixed and constrained to lie above a given obstacle

By classical results of Caffarelli, the free boundary is smooth outside a set of singular points. However, explicit examples show that the singular set could be, in general, as large as the regular set. This talk aims to introduce this beautiful problem and describe some classical and recent results on the regularity of the free boundary.

Fabio Ramos

Universidade Federal do Rio de Janeiro,Brazil

14:50h – 15:30h

Controlled Latent Diffusion Models for 3D Porous Media Reconstruction

Inverse problems are pivotal in porous media analysis, demanding the reconstruction of subsurface microstructures from limited imaging data—critical for applications such as energy exploration, hydrocarbon recovery, and underground storage. While traditional approaches often rely on statistical or physics-based models, recent breakthroughs in deep generative methods—particular­ly diffusion-based approaches—present new avenues for enhanced accuracy and computational efficiency.

In this talk, I will introduce a novel framework for reconstructing 3D porous microstructures using controlled latent diffusion models, developed in collaboration with ExxonMobil. By integrating the EDM diffusion framework with a tailored variational autoencoder (VAE), we achieve high-resolution digital rock reconstructions while preserving computational feasibility. Furthermore, we propose controlled unconditional sampling, an approach that improves model reliability through the incorporation of physical constraints such as porosity and two-point correlation functions.
Our results demonstrate that generative models can act as powerful, data-driven solvers for inverse problems, addressing challenges where traditional physics-based models falter due to data scarcity or high computational costs. This methodology is broadly applicable across geophysics, medical imaging, and materials science—any field where reconstructing complex microstructures from indirect observations is essential.
This work is in collaboration with Danilo Naiff (UFRJ), Bernardo P. Schaeffer (UFRJ), Gustavo Pires (UFRJ), Dragan Stojkovic(ExxonMobil) and Thomas Rapstine (ExxonMobil).

About Organization

Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain

Luz de Teresa-UNAM Mexico

Diego Souza – U Sevilla -Spain

Felipe Chaves-UFPB-Brazil

Roberto Capistrano – UFPE Brazil 
Sandra Malta – LNCC – Brazil
Eduardo Cerpa – U.C – Chile
Giovani Figueiredo – UNB – Brazil
Marcia Federson USP,San Carlos –Brazil;
Maicon Correa – UNICAMP- Brazil

Our Partners

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Seminar April 02, 2025-F

Seminar April 02, 2025-F

por | mar 31, 2025 | Sem categoria

Seminar in EDP and Applied Mathematics

March 19, 2025 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA 

Youtube Channel

Event

About Seminars

Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.

Featured Talks & Speakers

Carole Luis-Rose

Université des Antilles,Guadeloupe

  14:00h – 14:40h

Approximate controllability of a nonlocal hyperbolic coupled system

 

Angela Pistoia

University Pisa,italy

14:50h – 15:30h

Some properties of Steklov eigenfunctions

I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia (Roma 3), Alberto Enciso (ICMAT Madrid) and Luigi Provenzano (Sapienza Roma).

About Organization

Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain

Luz de Teresa-UNAM Mexico

Diego Souza – U Sevilla -Spain

Felipe Chaves-UFPB-Brazil

Roberto Capistrano – UFPE Brazil 
Sandra Malta – LNCC – Brazil
Eduardo Cerpa – U.C – Chile
Giovani Figueiredo – UNB – Brazil
Marcia Federson USP,San Carlos –Brazil;
Maicon Correa – UNICAMP- Brazil

Our Partners

Access our channel!

A channel for students, professors, researchers and professionals who wish to deepen their knowledge in EDP and applied mathematics.

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Seminar March 19 of 2025

Seminar March 19 of 2025

por | mar 16, 2025 | Sem categoria

Seminar in EDP and Applied Mathematics

March 19, 2025 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA 

Youtube Channel

Event

About Seminars

Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.

Featured Talks & Speakers

NOEMI WOLANSKI

Universidad de Buenos Aires-Argentina

  14:00h – 14:40h

MASYMPTOTIC BEHAVIOR OF A NONLOCAL DISPERSION PROBLEM IN R^N

The

In this talk I will present results on the time asymptotic behavior of the solution of a nonlocal
dispersion problem with absorption in R^N .

There holds that it strongly depends on the bahavior of the initial datum at infinity. To simplify
the presentation I will only discuss the situation in which the initial datum decays as a negative
power of the norm of the variable. This is,

|x|^α.u0(x) → A > 0  as |x| → ∞, α > 0.

The absorption is modeled as a power of the unknow: −u

p with p > 1 and, the time asymptotics

depends on the relation between α, p and the dimension N.
The idea of the talk is to present the results in all cases and, to give a glimps of the ideas behind
the proofs when dispersion is stronger than absorption or they both persist in the time asymptotics.
These results have been obtained in collaboration with Joana Terra, Carmen Cortazar and
Fernando Quiros.

.

Jose Raul Quintero

Universidad del Valle Colombia

14:50h – 15:30h

SOLITARY WAVE SOLUTIONS FOR A FIFTH ORDER
KAUP-KUPERSHMIDT-KDV TYPE EQUATION

 In the present work, we consider the general class of evolution models, named the
generalized Kaup-Kupershmidt-KdV equation, given by
(1) ut + μ∂3xu + α∂5xu + ∂x(γu2x + P(u)) = 0
where P is a polynomial and μ, α and γ are constants. This evolution model includes
many well known models like the Korteweg-de Vries equation, the modified Korteweg-de
Vries equation, and the Kaup-Kupershmit-Korteweg-de Vries equation. The evolution
model considered has no a Hamiltonian structure as happens in many water wave model.
Using the Fourier transform, the existence of solitary wave solutions for this model is
equivalent to find a fixed point, for which we use the standard Picard method choosing
appropriately the initial condition. We also include a brief discussion on the non existence
of solitary wave solutions.

About Organization

Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain

Luz de Teresa-UNAM Mexico

Diego Souza – U Sevilla -Spain

Felipe Chaves-UFPB-Brazil

Roberto Capistrano – UFPE Brazil 
Sandra Malta – LNCC – Brazil
Eduardo Cerpa – U.C – Chile
Giovani Figueiredo – UNB – Brazil
Marcia Federson USP,San Carlos –Brazil;
Maicon Correa – UNICAMP- Brazil

Our Partners

Access our channel!

A channel for students, professors, researchers and professionals who wish to deepen their knowledge in EDP and applied mathematics.

Youtube Channel

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Seminar March 5 of 2025

Seminar March 5 of 2025

por | mar 2, 2025 | Sem categoria

Seminar in EDP and Applied Mathematics

March 05, 2025 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA 

Youtube Channel

Event

About Seminars

Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.

Featured Talks & Speakers

Lorena Bociu

North Caroline University-USA

 14:00h – 14:40h

Multiscale Interface Couplings of Partial and Ordinary Differential Equations for Tissue Perfusion

The In biomechanics, local phenomena, such as tissue perfusion, are strictly related to the global features of the whole blood circulation. We propose a heterogeneous model where a local, accurate, 3D description of tissue perfusion by means of poroelastic equations is coupled with a systemic 0D lumped model of the remainder of the circulation. This represents a multiscale strategy, which couples an initial boundary value problem to be used in a specific tissue region with an initial value problem in the rest of the circulatory system. We discuss well-posedness analysis for this multiscale model, as well as solution methods focused on a detailed comparison between functional iterations and an energy-based operator splitting method and
how they handle the interface conditions.

Gabriel Barrenechea

University of Strathclyde-UK

14:50h – 15:30h

Positivity-preserving discretisations in general meshes

In this talk I will present a method that enforces bound-preservation (at the degrees of freedom) of the discrete solution (recently presented in [1]). The method is built by first defining an algebraic projection onto the convex closed set of finite element functions that satisfy the bounds given by the solution of the PDE. Then, this projection is hardwired into the definition of the method by writing a discrete problem posed for this projected part of the solution. Since this process is done independently of the shape of the basis functions, and no result on the resulting finite element matrix is used, this process guarantees bound-preservation independently of the underlying mesh. The core of the talk will be devoted to explaining the main idea in the context of linear (and nonlinear) reaction-diffusion equations. Then, I will explain the main difficulties encountered when extending this method to steady-state and time-dependent convection-diffusion equations [2]. The results in this talk have been carried out in collaboration with Abdolreza Amiri (Strathclyde, UK), Emmanuil Geourgoulis (Heriot-Watt, UK and Athens, Greece), Tristan Pryer (Bath, UK), and Andreas Veeser (Milan, Italy). 
References 
1. G.R. Barrenechea, E. Georgoulis, T. Pryer, and A. Veeser, A nodally bound-preserving finite element method. IMA Journal on Numerical Analysis, 44 (4), 2198-2219, (2024)
2.. Amiri, G.R. Barrenechea, and T. Pryer, A nodally bound-preserving finite element method for reaction-convection-diffusion equations. Mathematical Models and Methods in Applied Sciences 34 (8), 533–1565, (2024).

About Organization

Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain

Luz de Teresa-UNAM Mexico

Diego Souza – U Sevilla -Spain

Felipe Chaves-UFPB-Brazil

Roberto Capistrano – UFPE Brazil 
Sandra Malta – LNCC – Brazil
Eduardo Cerpa – U.C – Chile
Giovani Figueiredo – UNB – Brazil
Marcia Federson USP,San Carlos –Brazil;
Maicon Correa – UNICAMP- Brazil

Our Partners

Access our channel!

A channel for students, professors, researchers and professionals who wish to deepen their knowledge in EDP and applied mathematics.

Youtube Channel

Contact Us

Seminar February 19 of 2025

Seminar February 19 of 2025

por | fev 16, 2025 | Sem categoria

Seminar in EDP and Applied Mathematics

february 19, 2025 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA 

Youtube Channel

Event

About Seminars

Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.

Featured Talks & Speakers

Reinaldo Rodriguez Ramo

PPG-MCCT, Universidade Federal Fluminense,Brazil

 14:00h – 14:40h

Computational homogenization for the estimation of overall properties in linear viscoelastic composites

The exploration of two-phase composite materials through the lens of asymptotichomogenization presents a fascinating intersection of materials science and mathematicalmodeling. The study in question proposes a novel hybrid method that avoids the traditional
use of the Laplace-Carson transform, a complex mathematical tool often employed in the analysis of systems with linear viscoelastic properties. By utilizing lambda functions, which are a staple in functional programming languages due to their flexibility and conciseness,
the proposed method aims to streamline the calculation of local functions and effective coefficients. Lambda functions, by their very nature, allow for a more succinct expression of mathematical operations, which can be particularly advantageous in the context of
computational materials science. The hybrid method's reliance on these anonymous functions suggests a potential reduction in computational complexity, which could lead to
faster processing times and more efficient simulations. This is crucial in a field where the modeling of materials often requires extensive computational resources, especially when
dealing with two-scale periodicity where the behavior at two distinct scales must be accurately captured.
The study focuses on the analysis of two-phase composite materials with two scale periodicity and linear viscoelastic properties. A hybrid method based on asymptoticexpansion is proposed alternative to calculate the local functions and the effective
coefficients derived from asymptotic homogenization approach without having to employ the Laplace-Carson transform. For this, lambda functions are used, also known as anonymous functions, typical of functional programming languages. The comparison
between both approaches is made considering criteria of computational complexity and precision.

Abdolrahman Razani

Imam Khomeini International University, Iran.

14:50h – 15:30h

Quantum Uncertainty, the Heisenberg Group,
and the Sub-Laplacian Operator:
A Mathematical Bridge

The interplay between partial differential equations (PDEs) and quantum
physics has long been a source of profound mathematical insights. In this talk, we explore the deep connections between quantum uncertainty, the Heisenberg group, and the sub-Laplacian operator, revealing a fascinating mathematical bridge between these areas. We begin with an overview of the uncertainty prin-
ciple in quantum mechanics, highlighting its foundational role in understanding the limits of measurement and its mathematical formulation in terms of com- mutators. From there, we introduce the Heisenberg group Hn, a nilpotent Lie group that arises naturally in the study of quantum systems and sub-Riemannian ge-
ometry. We discuss its group structure, Lie algebra, and the canonical commutation relations that mirror the uncertainty principle. The Heisenberg group serves as a prototype for hypoelliptic operators, and we focus on the sub-Laplacian operator, a second-order differential operator that is central to the analysis of PDEs on Hn. We examine its spectral properties, eigenfunctions, and its role in

bridging the gap between classical PDE theory and quantum mechanics. Additionally, we introduce some challenging open problems that arise in this context. Through this exploration, we demonstrate how the Heisenberg group and the sub-Laplacian operator provide a unifying framework for understanding both physical phenomena and mathematical structures.

About Organization

Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain

Luz de Teresa-UNAM Mexico

Diego Souza – U Sevilla -Spain

Felipe Chaves-UFPB-Brazil

Roberto Capistrano – UFPE Brazil 
Sandra Malta – LNCC – Brazil
Eduardo Cerpa – U.C – Chile
Giovani Figueiredo – UNB – Brazil
Marcia Federson USP,San Carlos –Brazil;
Maicon Correa – UNICAMP- Brazil

Our Partners

Access our channel!

A channel for students, professors, researchers and professionals who wish to deepen their knowledge in EDP and applied mathematics.

Youtube Channel

Contact Us

Seminar February 5 of 2025

Seminar February 5 of 2025

por | fev 3, 2025 | Sem categoria

Seminar in EDP and Applied Mathematics

february 5, 2025 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA 

Youtube Channel

Event

About Seminars

Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.

Featured Talks & Speakers

Calogero Vetro

Department of Mathematics and Computer Science, University of Palermo-Italy

14:00h – 14:40h

General double phase functionals: recent results and applications

This seminar aims at discussing several recent results for double
phase problems. Motivated by Mingione’s work on functionals of double phasetype, such problems have become very popular in the context of anisotropicmodels exhibiting non-uniform ellipticity and nonstandard growth, in the senseof Zhikov and Marcellini. Starting from the basic functional framework andfollowing a consolidated approach, I will first discuss the Musielak-Orlicz spaceand the corresponding Sobolev space described by a double phase operator withlogarithmic perturbation, then I will present some existence results for weaksolutions to elliptic inclusion problems.

Vicentiu Radulescu

Institute of Mathematics of the Romanian Academy, Bucharest & AGH University of Krakow-Poland

14:50h – 15:30h

Normalized solutions, ground state solutions and beyond

Abstract. I shall discuss some basic classes of solutions of nonlinear PDEs, such as“normalized solutions” and “ground state solutions”. The content of my talk is based on the recent papers [1], [2]

and [3]. Some perspectives and related remarks will be given in the final part of this talk.
[1] D. Qin, V. Radulescu, X. Tang, Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations, J. Differential Equations 275 (2021), 652-683.
[2] S. Chen, V. Radulescu, X. Tang, Multiple normalized solutions for the planar Schrodinger-Poisson system with critical exponential growth, Math. Z. 306 (2024), no. 3, Paper No. 50.
[3] S. Chen, D. Qin, V. Radulescu, X. Tang, Ground states for quasilinear equations of N-Laplacian type with critical exponential growth and lack of compactness, Science China Mathematics (2024), Paper 67.

About Organization

Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain

Luz de Teresa-UNAM Mexico

Diego Souza – U Sevilla -Spain

Felipe Chaves-UFPB-Brazil

Roberto Capistrano – UFPE Brazil 
Sandra Malta – LNCC – Brazil
Eduardo Cerpa – U.C – Chile
Giovani Figueiredo – UNB – Brazil
Marcia Federson USP,San Carlos –Brazil;
Maicon Correa – UNICAMP- Brazil

Our Partners

Access our channel!

A channel for students, professors, researchers and professionals who wish to deepen their knowledge in EDP and applied mathematics.

Youtube Channel

Contact Us

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