OOIR: Observatory of International Research

Papers

(The median citation count of European Journal of Applied Mathematics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-06-01 to 2026-06-01.)

Article	Citations
NLP verification: towards a general methodology for certifying robustness	24
Numerical solution of a PDE arising from prediction with expert advice	24
A nonconservative kinetic framework under the action of an external force field: Theoretical results with application inspired to ecology	15
Steady-state solutions for a reaction–diffusion equation with Robin boundary conditions: Application to the control of dengue vectors	14
Solving two-dimensional H(curl)-elliptic interface systems with optimal convergence on unfitted meshes	14
Partial Euler operators and the efficient inversion of Div	12
Symmetry actions and brackets for adjoint-symmetries. I: Main results and applications	12
Hopf bifurcations for a delayed discrete single population patch model in advective environments	10
On a general matrix-valued unbalanced optimal transport problem	9
From integro-differential models to data-oriented approaches for emergent phenomena	9
Analysis and numerical simulations of travelling waves due to plant–soil negative feedback	8
Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion	8
Unified framework for the separation property in binary phase-segregation processes with singular entropy densities	8
Effects of concurrency on epidemic spreading in Markovian temporal networks	8
Uniform convergence of adversarially robust classifiers	7
Analysis of a model describing bacterial colony expansion in radial geometry driven by chemotaxis	7
Characterising small objects in the regime between the eddy current model and wave propagation	7
Uniform propagation of chaos for a dollar exchange econophysics model	7
Projective invariants of images	7
Friedlander-Keller ray expansions in electromagnetism: Monochromatic radiation from arbitrary surfaces in three dimensions	7
Hertzian and adhesive plane models of contact of two inhomogeneous elastic bodies	7
The dynamical analysis of a nonlocal predator–prey model with cannibalism	6
Exact recovery of community detection in k-community Gaussian mixture models	6
Modelling the evolutionary dynamics of insecticide quantitative resistance in mosquito populations	6
A free boundary model for transport-induced neurite growth	6

Fluctuation response patterns of network dynamics – An introduction	6
Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics	6
Constrained exact boundary controllability of a semilinear model for pipeline gas flow	6
Homogenisation of Wasserstein gradient flows	6
Wake flow past a submerged plate near a free surface	6
Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems	5
Identifiability of SDEs for reaction networks	5
Global stability for McKean–Vlasov equations on large networks	5
On macrosegregation in a binary alloy undergoing solidification shrinkage	5
Optical inversion using plasmonic contrast agents	5
Mean field limits of co-evolutionary signed heterogeneous networks	5
Resilient tracking consensus over dynamic random graphs: A linear system approach	4
The effect of pore-scale contaminant distribution on the reactive decontamination of porous media	4
Local existence of strong solutions to micro–macro models for reactive transport in evolving porous media	4
The mathematics of adversarial attacks in AI – why deep learning is unstable despite the existence of stable neural networks	4
Non-linear biphasic mixture model: Existence and uniqueness results	4
Do stable neural networks exist for classification problems? – A new view on stability in AI	4
A systematic analysis of the memory term in coarse-grained models: The case of the Markovian approximation	4
Dynamical behaviour of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions	4
Adversarial robustness of artificial intelligence	4
An MBO method for modularity optimisation based on total variation and signless total variation	4
Optimal transport through a toll station	4
Resilience of dynamical systems	3
Global dynamics of a degenerate reaction-diffusion cholera model with phage-bacteria interaction in a heterogeneous environment	3
Global Hopf bifurcation and connected components in a delayed predator–prey model	3
Semi-discrete unbalanced optimal transport and quantization – ERRATUM	3
Evolution equations on graphs: analysis and applications	3
Convergence to a self-similar solution for a one-phase Stefan problem arising in corrosion theory	3
A geometric approach to pinned pulses in a class of non-autonomous reaction–diffusion equations	3
Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow	3
Increasing stability for the inverse source problem in elastic waves with attenuation	3
Forman–Ricci communicability curvature of graphs and networks	3
Profiling ponded soil surface in saturated seepage into drain-line sink: Kalashnikov’s method of lateral leaching revisited	3
Global dynamics and spatiotemporal heterogeneity of a preytaxis model with prey-induced acceleration	3
Time-dependent modelling of thin poroelastic films drying on deformable plates	3
Symmetry actions and brackets for adjoint-symmetries. II: Physical examples	3
Network-based kinetic models: Emergence of a statistical description of the graph topology	3
Generalised symmetries of remarkable (1+2)-dimensional Fokker–Planck equation	2
On a Cahn–Hilliard equation for the growth and division of chemically active droplets modelling protocells	2
Local geometric properties of conductive transmission eigenfunctions and applications	2
Keller–Segel type approximation for nonlocal Fokker–Planck equations in one-dimensional bounded domain	2
Global well-posedness and uniform boundedness of 2D urban crime models with nonlinear advection enhancement	2
Pattern formation with jump discontinuity in a predator–prey model with Holling-II functional response	2
Impacts of noise on quenching of some models arising in MEMS technology	2
The turnpike property for mean-field optimal control problems	2
A homogenised model for the motion of evaporating fronts in porous media	2
Dynamics of a delayed population patch model with the dispersion matrix incorporating population loss	2
A critical non-homogeneous heat equation with weighted source	2
Stabilization in a chemotaxis system modelling T-cell dynamics with simultaneous production and consumption of signals	2
Slow passage through the Busse balloon – predicting steps on the Eckhaus staircase	2

Homogenisation of a two-phase problem with nonlinear dynamic Wentzell-interface condition for connected–disconnected porous media	2
Extended symmetry analysis of remarkable (1+2)-dimensional Fokker–Planck equation	2
A data-driven kinetic model for opinion dynamics with social network contacts	2
On the dynamics of a diffusive SEIRS epidemic model	2
The effect of target orientation on the mean first passage time of a Brownian particle to a small elliptical absorber	2
Hitting times for second-order random walks	1
Constant rank factorisations of smooth maps, with applications to sonar	1
Models for information propagation on graphs	1
Periodic dynamics in a time-switching advection-diffusion model for competing Aedes mosquitoes	1
A finite-volume scheme for fractional diffusion on bounded domains	1
Threshold dynamics scenario of a plants-pollinators cooperative system with impulsive effect on a periodically evolving domain	1
Ageing and mortality of persons with HIV: a novel data-driven approach	1
Battleship, tomography and quantum annealing	1
A deterministic gradient-based approach to avoid saddle points	1
Unique compact representation of magnetic fields using truncated solid harmonic expansions	1
Global bifurcations and pattern formation in target–offender–guardian crime models	1
Conservation laws that depend on functions and PDE reduction: Extending Noether $1\tfrac {1}{2}$	1
Integral constraints in multiple scales problems with a slowly varying microstructure	1
Existence and stability of singular patterns in a fractional Ginzburg–Landau equation with a mean field	1
Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion	1
Dimension reduction analysis of a three-dimensional thin elastic plate reinforced with fractal ribbons	1
Optimal transport on gas networks	1
Exponential turnpike property for particle systems and mean-field limit	1
Modelling of the fluid flow in a thin domain with injection through permeable boundary	1
On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism	1
Global dynamics for the generalised chemotaxis-Navier–Stokes system in $\mathbb{R}^3$	1
Modelling, simulation and optimisation of parabolic trough power plants	1
Equilibrium and non-equilibrium diffusion approximation for the radiative transfer equation	1
-coupling mechanisms are sufficient to obtain exponential decay in strain gradient elasticity	1
Generalised solution to a 2D parabolic-parabolic chemotaxis system for urban crime: Global existence and large-time behaviour	1
Global well-posedness and Turing–Hopf bifurcation of prey-taxis systems with hunting cooperation	1
Binary pattern retrieval with Kuramoto-type oscillators via a least orthogonal lift of three patterns	1
Absolute concentration robustness and multistationarity in reaction networks: Conditions for coexistence	1
Measuring multidimensional heterogeneity in emergent social phenomena	1
Large Péclet number forced convection from a circular wire in a uniform stream: hybrid approximations at small Reynolds numbers	1
Global optimisation of the mean first passage time for narrow capture problems in elliptic domains	1
Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs	1
From NeurODEs to AutoencODEs: A mean-field control framework for width-varying neural networks	1
Leveraging memory effects and gradient information in consensus-based optimisation: On global convergence in mean-field law	1
Nishida–Smoller type large solutions and exponential growth for the compressible Navier–Stokes equations with slip boundary conditions in 3D bounded domain	1