OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Models & Methods in Applied Sciences is 8. 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 2020-05-01 to 2024-05-01.)

Article	Citations
A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world	105
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision	58
What is life? A perspective of the mathematical kinetic theory of active particles	53
Towards a mathematical theory of behavioral human crowds	45
Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment	45
Convergence of a first-order consensus-based global optimization algorithm	32
A multilayer network model of the coevolution of the spread of a disease and competing opinions	30
On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case	29
Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source	29
Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit	28
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	27
Instability of the abstract Rayleigh–Taylor problem and applications	26
Global bounded solution of the higher-dimensional forager–exploiter model with/without growth sources	25
Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics	25
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth	24
A phase-field-based graded-material topology optimization with stress constraint	24
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit	23
Polynomial preserving virtual elements with curved edges	23
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy	23
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects	22
Element-splitting-invariant local-length-scale calculation in B-Spline meshes for complex geometries	21
Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties	21
Global radial renormalized solution to a producer–scrounger model with singular sensitivities	18
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations	18
Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis	17

Asymptotic dynamics on a chemotaxis-Navier–Stokes system with nonlinear diffusion and inhomogeneous boundary conditions	17
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis	17
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra	17
Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation	16
A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian province	16
Disease contagion models coupled to crowd motion and mesh-free simulation	15
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	15
Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations	15
A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations	15
Human behavioral crowds review, critical analysis and research perspectives	15
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation	15
Control of COVID-19 outbreak using an extended SEIR model	14
A kinetic theory approach for 2D crowd dynamics with emotional contagion	14
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	14
Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain	14
Coarse-graining via EDP-convergence for linear fast-slow reaction systems	14
A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh	13
Vorticity-stabilized virtual elements for the Oseen equation	13
A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints	13
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics	13
A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems	13
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows	13
From particles to firms: on the kinetic theory of climbing up evolutionary landscapes	13
Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces	13
Hybridization of the virtual element method for linear elasticity problems	13
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	13
The curl–curl conforming virtual element method for the quad-curl problem	12
Global solvability and asymptotic stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with indirect signal production	12
Time-fractional Moore–Gibson–Thompson equations	11
DG approach to large bending plate deformations with isometry constraint	11
Social climbing and Amoroso distribution	11
The one-phase fractional Stefan problem	11
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains	11
Asymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic source	11
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary	10
Transmission dynamics and quarantine control of COVID-19 in cluster community: A new transmission-quarantine model with case study for diamond princess	10
On a nonlocal Cahn–Hilliard model permitting sharp interfaces	10
Nematic alignment of self-propelled particles: From particle to macroscopic dynamics	9
Equilibrium analysis of an immersed rigid leaflet by the virtual element method	9
Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models	9
Virus models in complex frameworks: Towards modeling space patterns of SARS-CoV-2 epidemics	9
A ternary Cahn–Hilliard–Navier–Stokes model for two-phase flow with precipitation and dissolution	9
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	8
Error estimates of local energy regularization for the logarithmic Schrödinger equation	8
Individual-based Markov model of virus diffusion: Comparison with COVID-19 incubation period, serial interval and regional time series	8
Geometric linearization of theories for incompressible elastic materials and applications	8
Model predictive control with random batch methods for a guiding problem	8
Condition number bounds for IETI-DP methods that are explicit in h and p	8
The existence and stability of spike solutions for a chemotax is system modeling crime pattern formation	8
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	8

Generalized solutions to bounded-confidence models	8
Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: Mean-field limit and convergence	8
Multiple asymptotics of kinetic equations with internal states	8
Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model	8
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	8
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	8