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 2022-06-01 to 2026-06-01.)

Article	Citations
A duality and free boundary approach to adverse selection	62
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	39
Numerics and analysis of Cahn–Hilliard critical points	34
Intrinsic unconditional stability in space–time isogeometric approximation of the acoustic wave equation in second-order formulation	34
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	33
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	26
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	25
Shape optimization of metastable states	24
On the stabilization of a virtual element method for an acoustic vibration problem	23
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	23
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	23
Erratum: Doubly nonlinear stochastic evolution equations	23
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	23
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	22
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	22
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	20
Curvature in chemotaxis: A model for ant trail pattern formation	20
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	19
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	19
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	19
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	17
Derivation of a von Kármán plate theory for thermoviscoelastic solids	17
Korn–Maxwell–Sobolev inequalities for general incompatibilities	15
Energy-dissipation balance for a dynamic viscoelastic problem with memory in domains with growing cracks	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15

Author index Volume 35	15
A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	15
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	14
Asymptotic stability of equilibrium states for cohesive fluids	14
Local conservation laws and entropy inequality for kinetic models with delocalized collision integrals	14
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	14
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	13
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	12
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	12
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	12
Embedding general conservation constraints in discretizations of hyperbolic systems on arbitrary meshes: A multi-dimensional framework	12
On the mathematical theory of behavioral swarms emerging collective dynamics	12
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	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	11
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	11
Improvements on uncertainty quantification with variational autoencoders	11
Beltrami’s completeness for ????p symmetric matrix fields	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	11
A virtual element method on polyhedra with curved faces	11
Interpolation and stability estimates for edge and face virtual elements of general order	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Time fractional gradient flows: Theory and numerics	10
On scattering for NLS: Rigidity properties and numerical simulations via the lens transform	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
Effects of degeneracies in taxis-driven evolution	10
Entropy-based convergence rates of greedy algorithms	10
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
Finite element approximation of unique continuation of functions with finite dimensional trace	9
Macroscopic modeling of social crowds	9
Random sampling-based gradient descent method for optimal control problems with variance reduction	9
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	9
The particle paths of hyperbolic conservation laws	8
Stability of large-amplitude viscous shock under periodic perturbation for 1-d viscoelasticity with non-convex constitutive relations	8
Multivariate Gini-type discrepancies	8
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	8
A finite element framework for simulating residential burglary in realistic urban geometries	8
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	8
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	8
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	8
The synergy between two threats: Disinformation and COVID-19	8
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Consensus formation in first-order graphon models with time-varying topologies	8

Singular patterns in Keller–Segel-type models	8
Consensus-based optimization via jump-diffusion stochastic differential equations	8
Randomized matrix sketching for neural network training and gradient monitoring	8
Existence of multi-spikes in the Keller–Segel model with logistic growth	8
Well-posedness of a nonlinear acoustics-structure interaction model	8
Editorial: Active particle models and methods in science and society	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
A nonlinear bending theory for nematic LCE plates	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
Stochastic Stackelberg differential games modeling crowd-authority interaction dynamics	7
An effective model for boundary vortices in thin-film micromagnetics	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	7
Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and mass transport: Cross diffusion versus logistic degradation	7