VI Workshop on Fluids and PDE,  Campinas, Brazil, 23rd to 27th October 2023

https://www.ime.unicamp.br/~viwfpde/

The VI Workshop on Fluids and PDE – Celebrating the 60th birthdays of Helena J. Nussenzveig Lopes and Milton C. Lopes Filho focusing on the major contributions of their work in the field of mathematical modeling and rigorous analysis of fluid dynamics problems, particularly incompressible flows with little regularity (non-smooth) and turbulent flows.

The conference will be held at the Institute of Mathematics, Statistics and Scientific Computing (IMECC) between 23rd and 27th October 2023 at Universidade Estadual de Campinas (UNICAMP), Campinas, Brazil, https://www.ime.unicamp.br/en.

A updated list of confirmed speakers at the VI Workshop on Fluids and PDE is now online:

LINK: https://www.ime.unicamp.br/~viwfpde/index.php/speakers/

The following work have been published and made available online during September 2023:

A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis

Eduardo Abreu, Paola Ferraz, Wanderson José Lambert.

LINK:  https://doi.org/10.1016/j.cnsns.2023.107552

Keywords: Non-equilibrium two-phase flows, Relaxation hysteresis, High-contrast porous media, Analytical-numerical methods, Discontinuous flux and Projection relaxation method

Avaialble online on 25 September 2023

The following works have been published and made available online during July 2023:

On the well-posedness via the JKO approach and a study of blow-up of solutions for a multispecies Keller-Segel chemotaxis system with no mass conservation.

Julio C. Valencia-Guevara, John Pérez, Eduardo Abreu.

LINK: https://doi.org/10.1016/j.jmaa.2023.127602

Keywords: Blow-up Keller–Segel, Multispecies chemotaxis, JKO scheme, Optimal transport Wasserstein gradient flows, Multistep discretization, Numerical simulations.

Avaialble online on 18 July 2023

 

A triangle-based positive semi-discrete Lagrangian–Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws.  

Eduardo Abreu, Jorge Agudelo, John Pérez. 

LINK:  https://doi.org/10.1016/j.cam.2023.115465

Keywords: Hyperbolic conservation laws, Lagrangian–Eulerian method, Semi-discrete scheme on triangular grids, Weak asymptotic analysis, Kruzhkov entropy solution, Positivity principle.

Avaialble online on 25 July 2023. 

A new computational model for karst conduit flow in carbonate reservoirs including dissolution-collapse breccias. 

Isamara Landim, Marcio A. Murad, Patricia Pereira, Eduardo Abreu .

LINK: https://doi.org/10.1007/s10596-023-10229-y

Keywords:  Carbonates with karst cave conduits, Lower-dimensional model reduction, Collapse-breccia, Coupled 3D/1D flows, Non-linear Robin transmission condition, Hybridized mixed methods.

Avaialble online on 31 July 2023

The following work have been published and made available online during June 2023:

A Lagrangian-Eulerian Method on Regular Triangular Grids for Hyperbolic Problems: Error Estimates for the Scalar Case and a Positive Principle for Multidimensional Systems

Eduardo Abreu, Jorge Eliécer Agudelo, Wanderson José Lambert, John Pérez.

LINK:  https://doi.org/10.1007/s10884-023-10283-1

Keywords: Conservation laws and first-order hyperbolic system, no-flow curves and triangular grids, vector fields with bounded directional variation, positive Lagrangian-Eulerian method, entropy measure-valued solutions and entropy process, a priori error estimates.

Avaialble online on 26 June 2023

Num Hyp 2023 - Numerical Methods for Hyperbolic Problems, 26-30 June, Bordeaux (France)

On issues related to recent developments and new directions in the field of numerical methods for hyperbolic partial differential equations:
LINK: https://numhyp23.sciencesconf.org/

The conference will be held at the Institut de Mathématiques, Campus of Talence at the University of Bordeaux.

The program of the NumHyp23 conference is now online:
LINK: https://numhyp23.sciencesconf.org/program

14th ISAAC Congress 2023, University of São Paulo, Campus Ribeirão Preto (Brazil)

July 17 to July 21, 2023

Home and General View/Informations LINK: https://dcm.ffclrp.usp.br/isaac/

Take a look at the session and Invited speakers in the "PDEs in Fluid Mechanics" in 14th ISAAC congress 2023,

LINK: https://dcm.ffclrp.usp.br/isaac/sessoes/pdes_in_fluid_mechanics/

 Workshop in Complex Fluids and Solid Mechanics

June 2, 2023  -- https://w3.math.uminho.pt/complexfluids/

Seminar Room of the Department of Mathematics
School of Sciences, University of Minho, Portugal
Gualtar Campus, Building 6, room 3.08

The 6th InterPore Brazil Chapter Meeting in 2023 https://pages.cnpem.br/interpore2023br/

It is our great pleasure to announce that in 2023 the Brazilian Synchrotron Light Laboratory (LNLS)  https://www.lnls.cnpem.br/home/ will host the 6th InterPore Brazilian Chapter Meeting (totally in person!)  from 7-9 August 2023 in Campinas-SP, Brazil.

The LNLS is located in Campinas City, in the São Paulo State (Southeast Region of Brazil). The city is home to State University of Campinas (UNICAMP – https://www.unicamp.br/unicamp/english).

 

Eduardo Abreu (UNICAMP-IMECC)
Chair, InterPore Brazilian Chapter
eabreu@ime.unicamp.br
https://www.interpore.org/brazil-interpore-chapter/

The following works have been published and made available online during December 2022 to February 2023:

An exponential integration generalized multiscale finite element method for parabolic problems.

Luis Hernandez, David Pardo, Eduardo Abreu, Judit Muñoz-Matute Ciro Díaz, Juan Galvis.

LINK: https://doi.org/10.1016/j.jcp.2023.112014

Keywords: Multiscale approximation, Time integration, Functions of matrices, Finite element methods.

Avaialble online on 21 February 2023

 

Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian-Eulerian scheme via weak asymptotic analysis for hyperbolic problems.  

Eduardo Abreu, Arthur Espírito Santo, Wanderson Lambert, Jonh Pérez. 

LINK:  https://doi.org/10.1002/num.22972

Keywords: Fully discrete Lagrangian–Eulerian scheme, Kruzhkov entropy condition, maximum principle, no-flow curves, positivity-preserving, total variation nonincreasing, weak asymptotic analysis, weak bounded variation.

Avaialble online on 26 December 2022. 

A geometrically intrinsic lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data. 

Eduardo Abreu, Elena Bachini, John Pérez, Mario Putti.

LINK: https://doi.org/10.1016/j.amc.2022.127776

Keywords:  Balance laws on surface, Shallow water equations, Non-autonomous fluxes, Spatially variable topography, Intrinsic lagrangian-Eulerian scheme, No-flow surfaces.

Avaialble online on 21 December 2022

The following work have been published and made available online during October 2022:

Recursive formulation and parallel implementation of multiscale mixed methods. 

Eduardo Abreu, Paola Ferraz, Arthur Espírito Santo, Felipe Pereira, L. Santos, Fabrício Sousa.

LINK: https://doi.org/10.1016/j.jcp.2022.111681

Keywords: Recursive Multiscale Robin Coupled Method, Parallelization ,Mixed finite elements, Domain decomposition, Fluid dynamics in porous media, Darcy's law.

Available Online on 10 October 2022.

Brazil Interpore Chapter news

We welcome you to the (fully free of charge) 5th Brazil Interpore Chapter Meeting 2022, still fully virtual mode, 1-2 August 2022.

LINK: https://interpore2022br.ufrn.br/

Please, fill up the Online Registration form at the site to get the ZOOM link to the Thematic session.

Texture image classification based on a pseudo-parabolic diffusion model

Jardel Vieira, Eduardo Abreu and João B. Florindo, Texture image classification based on a pseudo-parabolic diffusion model

LINK: https://link.springer.com/article/10.1007/s11042-022-12048-2

Keywords: Pseudo-parabolic equation, Texture recognition, Image classification, Numerical approximation methods for PDEs

The work "Lagrangian-Eulerian approach for nonlocal conservation laws" (article number 10.1007/s10884-022-10193-8) has been accepted for publication in Journal of Dynamics and Differential Equations.

Lagrangian-Eulerian approach for nonlocal conservation laws, Eduardo Abreu, Richard A. De la Cruz Guerrero, Juan Carlos Juajibioy Otero and Wanderson José Lambert

LINK: https://link.springer.com/article/10.1007/s10884-022-10193-8

Keywords: Nonlocal conservation laws, Lagrangian-Eulerian approach, No-flow curves, Kruzhkov entropy solution, Applications.

Full read of the Research Spotlight

On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach

 Eduardo Abreu, Lucas C. F. Ferreira, Juan G. G. Delgado and John Pérez, On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach. 

NONLINEARITY, v.35 (2022) p.1734 - 1772. 

LINK:  https://iopscience.iop.org/article/10.1088/1361-6544/ac5097  

Keywords: Nonlinear transport equation, Measure initial data, Nonlocal flow, Blow-up; Asymptotic behavior, Finite-time mass con- centration, Analytical and computational methods.

A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models

 Eduardo Abreu, Jean François, Wanderson Lambert and John Pérez, A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models. 

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.406 (2022), p.114011. 

LINK: https://www.sciencedirect.com/science/article/abs/pii/S0377042721005963

Keywords: Hyperbolic conservation laws, Semi-discrete scheme, Blow-up analysis, Weak asymptotic analysis, Total variation nonincreasing, Kruzhkov entropy solution.

 

A Class of Positive Semi-discrete Lagrangian-Eulerian Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

 Eduardo Abreu, Jean François, Wanderson Lambert and John Pérez, A Class of Positive Semi-discrete Lagrangian-Eulerian Schemes for Multidimensional Systems of Hyperbolic Conservation Laws. 

JOURNAL OF SCIENTIFIC COMPUTING, v.90 (2022),  p.40 (79 pages). 

LINK: https://link.springer.com/article/10.1007/s10915-021-01712-8  

Keywords: Hyperbolic conservation laws, Semidiscrete Lagrangian-Eulerian schemes, Positivity principle - Systems of Hyperbolic Conse, Weak asymptotic analysis, Total variation nonincreasing (TVNI).

Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models

 Eduardo Abreu and Angél M. Durán, Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models. 

COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.102 (2021), p.15 - 44. 

LINK:  https://doi.org/10.1016/j.camwa.2021.10.001 

Keywords:  pseudo-parabolic equations, Spectral methods, error estimates, strong stability preserving methods, non-regular data.

Recursive Mixed Multiscale Model Reduction for Karst Conduit-Flow in Carbonate Reservoirs

 Paola Ferraz, Patricia Pereira, Eduardo Abreu and Marcio Murad, Recursive Mixed Multiscale Model Reduction for Karst Conduit-Flow in Carbonate Reservoirs. 

TRANSPORT IN POROUS MEDIA. , v.139 (2021) p. 527 - 558. 

LINK: https://link.springer.com/article/10.1007/s11242-021-01678-z  

Keywords: Karst conduits, lower-dimensional model reduction, Homogenization, coupled 1D/3D flows, multiscale mixed finite element.

 

An Application of a Pseudo-Parabolic Modeling to Texture Image Recognition

 Eduardo Abreu and João B. Florindo, An Application of a Pseudo-Parabolic Modeling to Texture Image Recognition 

In: Lecture Notes in Computer Science.31 ed.: Springer International Publishing, 2021, p. 386-397. 

LINK: https://link.springer.com/10.1007/978-3-030-77964-1_30 

Keywords: Pseudo-parabolic equation, Texture recognition, Image classification, Computational Methods for PDEs.