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 2021-05-01 to 2025-05-01.)

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	93
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	71
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	61
On the dynamic slip boundary condition for Navier–Stokes-like problems	40
A duality and free boundary approach to adverse selection	40
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	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	30
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	29
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	29
Thermodynamically consistent modeling for complex fluids and mathematical analysis	25
Erratum: Doubly nonlinear stochastic evolution equations	24
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	21
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	21
On the stabilization of a virtual element method for an acoustic vibration problem	21
A mean-field approach to self-interacting networks, convergence and regularity	21
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth	20
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	20
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	20
Derivation of a von Kármán plate theory for thermoviscoelastic solids	19
Collective dynamics in science and society	19
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	19
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	19
Weak–strong uniqueness for energy-reaction-diffusion systems	18
Author index Volume 31	17

Korn–Maxwell–Sobolev inequalities for general incompatibilities	17
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	16
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	16
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	15
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	15
H(curl2)-conforming quadrilateral spectral element method for quad-curl problems	14
Prediction-correction pedestrian flow by means of minimum flow problem	14
Cross-diffusion models in complex frameworks from microscopic to macroscopic	14
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	14
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	13
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	13
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	12
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	12
Newtonian repulsion and radial confinement: Convergence toward steady state	12
On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking	12
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	12
On the mathematical theory of behavioral swarms emerging collective dynamics	11
What is life? A perspective of the mathematical kinetic theory of active particles	11
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	11
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	11
Interpolation and stability estimates for edge and face virtual elements of general order	10
Time fractional gradient flows: Theory and numerics	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
Beltrami’s completeness for ????p symmetric matrix fields	10
Multilevel domain uncertainty quantification in computational electromagnetics	10
Effects of degeneracies in taxis-driven evolution	10
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	10
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	9
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	9
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	9
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	9
Model predictive control with random batch methods for a guiding problem	9
Entropy-based convergence rates of greedy algorithms	9
Finite element approximation of unique continuation of functions with finite dimensional trace	9
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	9
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	8
Macroscopic modeling of social crowds	8
Linearized von Kármán theory for incompressible magnetoelastic plates	8
Singular patterns in Keller–Segel-type models	8
Consensus-based optimization via jump-diffusion stochastic differential equations	8
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	8
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	7
Multivariate Gini-type discrepancies	7
The synergy between two threats: Disinformation and COVID-19	7
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	7
A nonlinear bending theory for nematic LCE plates	7
High-order compact splitting spectral methods for the rotating spin-1 Bose-Einstein condensates in a magnetic field	7
The particle paths of hyperbolic conservation laws	7
A nonlocal equation describing tumor growth	7

Existence of multi-spikes in the Keller–Segel model with logistic growth	7
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	7
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	7
On nonlinear problems of parabolic type with implicit constitutive equations involving flux	7
Well-posedness of a nonlinear acoustics-structure interaction model	7
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	7