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 2021-06-01 to 2025-06-01.)

Article	Citations
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	98
A duality and free boundary approach to adverse selection	73
On the dynamic slip boundary condition for Navier–Stokes-like problems	65
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	41
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	40
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	40
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	30
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	30
Thermodynamically consistent modeling for complex fluids and mathematical analysis	29
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	29
Erratum: Doubly nonlinear stochastic evolution equations	25
On the stabilization of a virtual element method for an acoustic vibration problem	24
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	22
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	21
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth	21
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	21
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	21
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	21
A mean-field approach to self-interacting networks, convergence and regularity	21
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	20
Derivation of a von Kármán plate theory for thermoviscoelastic solids	20
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	19
Weak–strong uniqueness for energy-reaction-diffusion systems	19
Collective dynamics in science and society	19
Author index Volume 31	18

Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	17
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	17
Korn–Maxwell–Sobolev inequalities for general incompatibilities	17
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	16
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	16
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	16
H(curl2)-conforming quadrilateral spectral element method for quad-curl problems	16
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	15
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	14
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	14
On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking	14
Newtonian repulsion and radial confinement: Convergence toward steady state	14
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	13
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
On the mathematical theory of behavioral swarms emerging collective dynamics	12
What is life? A perspective of the mathematical kinetic theory of active particles	12
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	12
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	12
Beltrami’s completeness for ????p symmetric matrix fields	11
Effects of degeneracies in taxis-driven evolution	11
Model predictive control with random batch methods for a guiding problem	11
Time fractional gradient flows: Theory and numerics	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	11
Interpolation and stability estimates for edge and face virtual elements of general order	11
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	11
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	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
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	10
Entropy-based convergence rates of greedy algorithms	10
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	10
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
On nonlinear problems of parabolic type with implicit constitutive equations involving flux	9
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	9
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	9
Multivariate Gini-type discrepancies	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Linearized von Kármán theory for incompressible magnetoelastic plates	9
Singular patterns in Keller–Segel-type models	9
The particle paths of hyperbolic conservation laws	9
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	8
Finite element approximation of unique continuation of functions with finite dimensional trace	8
Existence of multi-spikes in the Keller–Segel model with logistic growth	8
Consensus-based optimization via jump-diffusion stochastic differential equations	8
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	8
Macroscopic modeling of social crowds	8
The synergy between two threats: Disinformation and COVID-19	8

Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	7
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers	7
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	7
A nonlocal equation describing tumor growth	7
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
Consensus formation in first-order graphon models with time-varying topologies	7
An effective model for boundary vortices in thin-film micromagnetics	7
Well-posedness of a nonlinear acoustics-structure interaction model	7
Editorial: Active particle models and methods in science and society	7
A nonlinear bending theory for nematic LCE plates	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7