OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Models & Methods in Applied Sciences is 8. 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 2021-10-01 to 2025-10-01.)

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	108
On the dynamic slip boundary condition for Navier–Stokes-like problems	68
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	44
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	43
A duality and free boundary approach to adverse selection	41
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	36
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	30
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	25
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	24
Erratum: Doubly nonlinear stochastic evolution equations	24
On the stabilization of a virtual element method for an acoustic vibration problem	23
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	23
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	23
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	22
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	22
A mean-field approach to self-interacting networks, convergence and regularity	22
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	22
Curvature in chemotaxis: A model for ant trail pattern formation	22
Derivation of a von Kármán plate theory for thermoviscoelastic solids	20
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	20
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	19
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	18
Weak–strong uniqueness for energy-reaction-diffusion systems	18
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	17
Author index Volume 31	17

Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	17
Pressure-robust finite element discretizations of the nonlinear Stokes equations	16
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	16
Korn–Maxwell–Sobolev inequalities for general incompatibilities	16
A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	15
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	15
On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking	14
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	14
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	13
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	13
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	13
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	13
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	13
On the mathematical theory of behavioral swarms emerging collective dynamics	13
Time fractional gradient flows: Theory and numerics	12
Beltrami’s completeness for ????p symmetric matrix fields	12
Interpolation and stability estimates for edge and face virtual elements of general order	12
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	10
Singular patterns in Keller–Segel-type models	10
Effects of degeneracies in taxis-driven evolution	10
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	10
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	10
Entropy-based convergence rates of greedy algorithms	10
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
The particle paths of hyperbolic conservation laws	9
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	9
Consensus-based optimization via jump-diffusion stochastic differential equations	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
Macroscopic modeling of social crowds	9
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	9
The synergy between two threats: Disinformation and COVID-19	9
Random sampling-based gradient descent method for optimal control problems with variance reduction	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Finite element approximation of unique continuation of functions with finite dimensional trace	9
Multivariate Gini-type discrepancies	9
Existence of multi-spikes in the Keller–Segel model with logistic growth	9
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	8
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	8
Conservation laws with discontinuous gradient-dependent flux: The stable case	8
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	8
Well-posedness of a nonlinear acoustics-structure interaction model	8

An effective model for boundary vortices in thin-film micromagnetics	8
Editorial: Active particle models and methods in science and society	8
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
A nonlocal equation describing tumor growth	8
Consensus formation in first-order graphon models with time-varying topologies	8