OOIR: Observatory of International Research

Papers

(The median citation count of Mathematical Models & Methods in Applied Sciences is 3. 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 2021-11-01 to 2025-11-01.)

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	114
A duality and free boundary approach to adverse selection	68
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	46
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	43
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	36
On the stabilization of a virtual element method for an acoustic vibration problem	26
Erratum: Doubly nonlinear stochastic evolution equations	26
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	25
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	24
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	24
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	23
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	23
Curvature in chemotaxis: A model for ant trail pattern formation	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	22
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	20
Derivation of a von Kármán plate theory for thermoviscoelastic solids	20
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	20
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	19
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	19
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	18
Author index Volume 31	17
Weak–strong uniqueness for energy-reaction-diffusion systems	17
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	17
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	16

Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	16
Author index Volume 35	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15
A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15
Korn–Maxwell–Sobolev inequalities for general incompatibilities	15
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	14
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	14
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	13
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	13
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	13
On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking	13
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	13
Interpolation and stability estimates for edge and face virtual elements of general order	12
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	12
On the mathematical theory of behavioral swarms emerging collective dynamics	12
Cross-diffusion models in complex frameworks from microscopic to macroscopic	12
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	12
Multilevel domain uncertainty quantification in computational electromagnetics	11
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	11
Beltrami’s completeness for ????p symmetric matrix fields	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Time fractional gradient flows: Theory and numerics	11
Entropy-based convergence rates of greedy algorithms	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
Effects of degeneracies in taxis-driven evolution	10
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	10
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	10
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	10
Finite element approximation of unique continuation of functions with finite dimensional trace	9
Macroscopic modeling of social crowds	9
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
Consensus-based optimization via jump-diffusion stochastic differential equations	9
The particle paths of hyperbolic conservation laws	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Singular patterns in Keller–Segel-type models	9
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	8
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
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Random sampling-based gradient descent method for optimal control problems with variance reduction	8
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	8
A nonlocal equation describing tumor growth	8
Multivariate Gini-type discrepancies	8
The synergy between two threats: Disinformation and COVID-19	8
Existence of multi-spikes in the Keller–Segel model with logistic growth	8
Well-posedness of a nonlinear acoustics-structure interaction model	8

Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
Consensus formation in first-order graphon models with time-varying topologies	7
Editorial: Active particle models and methods in science and society	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
An effective model for boundary vortices in thin-film micromagnetics	7
A nonlinear bending theory for nematic LCE plates	7
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows	7
A singular infinite-dimensional Hamilton–Jacobi–Bellman equation arising from a storage problem	6
Global Weak Solutions to a Navier–Stokes–Cahn–Hilliard System with Chemotaxis and Mass Transport: Cross Diffusion versus Logistic Degradation	6
Towards a mathematical theory of behavioral human crowds	6
A multi-agent approach to the impact of epidemic spreading on commercial activities	6
Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media	6
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	6
Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers	6
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	6
Stochastic Stackelberg Differential Games Modeling Crowd-Authority Interaction Dynamics	6
Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model	6
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	6
Isogeometric discretization methods in computational fluid mechanics	6
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	6
On finite element approximation of the Schrödinger–Poisson model	6
A parabolic local problem with exponential decay of the resonance error for numerical homogenization	6
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	6
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	5
A particle method for non-local advection–selection–mutation equations	5
Author index Volume 32	5
On a two-species chemotaxis system with indirect signal production and general competition terms	5
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	5
L1-Theory for Hele-Shaw flow with linear drift	5
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	5
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	5
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	5
Global small solutions to the 3D compressible viscous non-resistive MHD system	5
Local-length-scale calculation in T-splines meshes for complex geometries	5
Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection	4
A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints	4
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	4
Non-interpenetration of rods derived by Γ-limits	4
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	4
Congested crossing pedestrian traffic flow: Dispersion versus transport in crowded areas	4
How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller–Segel–Navier–Stokes system?	4
An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	4
Coupling the Navier–Stokes–Fourier equations with the Johnson–Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis	4
Well-posedness and approximation of reflected McKean–Vlasov SDEs with applications	4
A mathematical approach to crowd surveillance with drones	4
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	4
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	4
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	4
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	4
On the compatibility of a family of generalized Keller–Segel models with the Kardar–Parisi–Zhang equation: A traveling wave study	4
Optimization by linear kinetic equations and mean-field Langevin dynamics	4
Scaling limits for a population model with growth, division and cross-diffusion	4
Global existence and stabilization of classical solutions to a Keller–Segel–(Navier–)Stokes system with tensor-valued sensitivity and prescribed signal concentration on the boundary	4
Space-time shape optimization of rotating electric machines	4
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	4
Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution	4
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions	4
Immersed virtual element methods for electromagnetic interface problems in three dimensions	4
Differential games for crowd dynamics and applications	3
Clearing-out of dipoles for minimizers of 2-dimensional discrete energies with topological singularities	3
Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications	3
Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space	3
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	3
A multiscale stochastic criminal behavior model and the convergence to a piecewise-deterministic-Markov-process limit	3
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision	3
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers	3
Fully and semi-implicit robust space–time DG methods for the incompressible Navier–Stokes equations	3
Boundedness and asymptotic behavior in a two-dimensional parabolic–elliptic–elliptic Keller–Segel–Navier–Stokes system with indirect signal production	3
Human behavioral crowds review, critical analysis and research perspectives	3
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	3
Approximation theory, computing, and deep learning on the Wasserstein space	3
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary	3
Uniformly high-order bound-preserving OEDG schemes for two-phase flows	3
Author index Volume 34	3
Analysis of complex chemotaxis models	3
Reaction–diffusion systems derived from kinetic theory for Multiple Sclerosis	3
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction	3
Kinetic theory of active particles meets auction theory	3