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