Existence of Finite Time Blow-Up in Keller-Segel System. [PDF]
Ann PDEBuseghin F +3 more
europepmc +1 more source
On the Numerical Solution of the Poisson Equation in the Smoothed Particle Hydrodynamics
Studies in Applied Mathematics, Volume 157, Issue 4, October 2026.ABSTRACT In the present work, we address some aspects related to the numerical solution of the Poisson equation within the framework of the Smoothed Particle Hydrodynamics (SPH). In this case, the Poisson equation is solved using nonlocal, kernel‐based discretizations of the differential operators (i.e., gradient, divergence, and Laplacian operators ...
Matteo Antuono +2 more
wiley +1 more source
Angewandte Chemie, Volume 138, Issue 40, 28 September 2026.Trace Mg doping into gallia–alumina generates hole‐type oxygen species that accelerate hydrogen recombination, eliminating the need for Pt promotion. The fully oxide‐based catalyst resists sintering under repeated regeneration, outperforming benchmark PtSn and CrOx catalysts with exceptional stability over 30 dehydrogenation–regeneration cycles ...
DongHwan Oh +8 more
wiley +2 more sources
A generalised framework for building complex networks of evolution equations. [PDF]
J Math BiolNdzoumbou ILM +4 more
europepmc +1 more source
On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
wiley +1 more source
Analyzing the influence of fractional orders of FitzHugh-Nagumo and Fisher equations. [PDF]
Sci RepAl-Sawalha MM +3 more
europepmc +1 more source
Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources
Mathematical Methods in the Applied Sciences, Volume 49, Issue 14, Page 16146-16162, 30 September 2026.ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes +3 more
wiley +1 more source
Existence and controllability analysis of multi-term fractional coupled systems with generalized [Formula: see text]-Caputo-Fabrizio operators. [PDF]
Sci RepSaad KM, Abdo MS, Hamanah WM.
europepmc +1 more source
Multiphysics Simulation of Positive Streamer Discharge in Air Using Finite Element Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.ABSTRACT Streamer discharge modeling by means of the Finite Element Method (FEM) presents a formidable challenge in computational physics due to its nonlinear and convection‐dominated characteristics that cause numerical instabilities, including negative densities of charged particles.
Hasupama Jayasinghe +3 more
wiley +1 more source