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