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

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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

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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

Seminar January 22 of 2025

Seminar January 22 of 2025

por | jan 17, 2025 | Sem categoria

Seminar in EDP and Applied Mathematics

january 22, 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

Oana Pocovnicu

Heriot-Watt university-UK

14:00h – 14:40h

Invariant Gibbs dynamics for fractional wave equations in negative Sobolev spaces

In this talk, we consider a fractional nonlinear wave equation with a general power-type nonlinearity (FNLW) on the two-dimensional torus. Our main goal is to construct invariant global-in-time Gibbs dynamics for FNLW. We first construct the Gibbs measure associated with this equation. By introducing a suitable renormalisation, we then prove almost sure local well-posedness with respect to Gibbsian initial data. Finally, we extend solutions globally in time by applying Bourgain’s invariant measure argument. This talk is based on a joint work with Luigi Forcella (University of Pisa, Italy).

David Ruiz

Universidad de Granada,Spain

14:50h – 15:30h

Compactly supported solutions to the stationary 2D Euler equations with noncircular streamlines

In this talk we are interested in compactly supported solutions of the steady Euler equations. In 3D the existence of such solutions has been an open problem until the recent result of Gavrilov (2019). In 2D, instead, it is easy to construct solutions via radially symmetric stream functions. Low regularity solutions without radial symmetry have been found in the literature, but even the $C^1$ case was open. In this talk we construct such solutions with regularity $C^k$, for any fixed $k$ given. For the proof, we look for stream functions which are solutions to non-autonomous semilinear elliptic equations. In this framework we look for a local bifurcation around a conveniently constructed 1-parameter family of solutions. This is joint work with A. Enciso (ICMAT, Madrid) and Antonio J. Fernández (UAM, Madrid).

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 January 08 of 2025

Seminar January 08 of 2025

por | jan 5, 2025 | Sem categoria

Seminar in EDP and Applied Mathematics

January 08, 205 – 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

Francisco Periago Esparza

Universidad Politecnica de Cartagena Spain

14:00h – 14:40h

An introduction to Machine-Learning-based methods for control of PDEs

In this talk, we will review on some recent developments concerning the use of Machine Learning-based methods for the numerical approximation of control problems for PDEs. Precisely, we shall focus on Physics-Informed-Neural-Networks (PINNs) and Deep Operator Networks (DeepONet). Both, theoretical and numerical simulation results will be presented. The talk is based on joint works with C.J. García-Cervera (UCSB, USA), M. Kessler (UPCT, Spain) and P. Pedregal (UCLM, Spain)

Carlos Castro

Universidad Politecnica de Madrid, Spain

14:50h – 15:30h

The Born approximation in the reconstruction of the Calderon inverse problem

The reconstruction in the Calderon inverse conductivity problem is considered. A suitable linearization of the inverse problem allows us to define the so-called Born approximation. This provides a good reconstruction only for the high frequencies of the conductivity. In a recent work, we established a new formula relating this Born approximation with the Dirichlet to Neumann map and the momenta of the conductivity coefficient. Based on this formula, we give a new convergent iterative algorithm that improves the numerical reconstruction given by the Born approximation. We illustrate the process with numerical experiments for radial and non-radial potentials.

 This is part of a collaboration work with J.A. Barceló, F. Macià, D. Mendoza,  and C. Meroño.

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 December 11 of 2024

Seminar December 11 of 2024

por | dez 8, 2024 | Sem categoria

Seminar in EDP and Applied Mathematics

december 11, 2024 – 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

Maria Grazia Naso

 Università degli Studi di Brescia,Italy

14:00h – 14:40h

Pointwise stabilization in some dynamical systems.

Victor R. Cabanillas Zannini*

 Universidad de Lima
and  Universidad Nacional Mayor de San Marcos

 14:50h – 15:30h

Recent Advances in the stability of  laminated beams

 

 The Hansen and Spies laminated beam model is a model that de-

scribes the interaction between two identical Timoshenko beams that are bonded together by means of an adhesive layer of negligible thickness and mass, allowing interfacial sliding. It is a system of three coupled hy-perbolic equations. In this lecture, we will present several recent results on the stability and lack of stability of the semigroup associated with this model when subjected to the action of various dissipative mechanisms.

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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