OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Models & Methods in Applied Sciences is 7. 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 2021-09-01 to 2025-09-01.)

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	107
A duality and free boundary approach to adverse selection	67
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	41
On the dynamic slip boundary condition for Navier–Stokes-like problems	41
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	33
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	30
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	25
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	24
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	24
Thermodynamically consistent modeling for complex fluids and mathematical analysis	23
Erratum: Doubly nonlinear stochastic evolution equations	23
AT₁ fourth-order isogeometric phase-field modeling of brittle fracture	22
On the stabilization of a virtual element method for an acoustic vibration problem	22
A mean-field approach to self-interacting networks, convergence and regularity	22
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	21
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	21
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	21
Curvature in chemotaxis: A model for ant trail pattern formation	21
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	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
Derivation of a von Kármán plate theory for thermoviscoelastic solids	19
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
Korn–Maxwell–Sobolev inequalities for general incompatibilities	17
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	15
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	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
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	14
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	14
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	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
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	13
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	12
H(curl2)-conforming quadrilateral spectral element method for quad-curl problems	12
Interpolation and stability estimates for edge and face virtual elements of general order	12
On the mathematical theory of behavioral swarms emerging collective dynamics	12
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	12
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	11
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Beltrami’s completeness for ????p symmetric matrix fields	11
Effects of degeneracies in taxis-driven evolution	11
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Time fractional gradient flows: Theory and numerics	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	10
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	10
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	10
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	10
Entropy-based convergence rates of greedy algorithms	10
Singular patterns in Keller–Segel-type models	10
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
Finite element approximation of unique continuation of functions with finite dimensional trace	9
The particle paths of hyperbolic conservation laws	9
Identifying early tumour states in a Cahn–Hilliard-reaction-diffusion model	9
Random sampling-based gradient descent method for optimal control problems with variance reduction	9
Multivariate Gini-type discrepancies	9
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	9
Linearized von Kármán theory for incompressible magnetoelastic plates	9
The synergy between two threats: Disinformation and COVID-19	8
Well-posedness of a nonlinear acoustics-structure interaction model	8
Consensus-based optimization via jump-diffusion stochastic differential equations	8
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Existence of multi-spikes in the Keller–Segel model with logistic growth	8
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	8

Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	8
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	8
A nonlinear bending theory for nematic LCE plates	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
Convergence of a particle method for a regularized spatially homogeneous Landau equation	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
A nonlocal equation describing tumor growth	7
An effective model for boundary vortices in thin-film micromagnetics	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows	7
Editorial: Active particle models and methods in science and society	7
Consensus formation in first-order graphon models with time-varying topologies	7
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	7
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	7