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 2020-04-01 to 2024-04-01.)

Article	Citations
A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world	103
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision	55
What is life? A perspective of the mathematical kinetic theory of active particles	48
Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment	44
Towards a mathematical theory of behavioral human crowds	39
Convergence of a first-order consensus-based global optimization algorithm	30
A multilayer network model of the coevolution of the spread of a disease and competing opinions	29
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	27
Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source	27
Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit	27
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	27
Global bounded solution of the higher-dimensional forager–exploiter model with/without growth sources	25
A phase-field-based graded-material topology optimization with stress constraint	24
Instability of the abstract Rayleigh–Taylor problem and applications	24
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
Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics	23
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth	22
Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties	21
Element-splitting-invariant local-length-scale calculation in B-Spline meshes for complex geometries	21
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects	21
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit	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
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra	17

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

Geometric linearization of theories for incompressible elastic materials and applications	8
Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: Mean-field limit and convergence	7
Error estimates of local energy regularization for the logarithmic Schrödinger equation	7
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	7
Doubly nonlinear stochastic evolution equations	7
Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation	7
Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response	7
Multiple asymptotics of kinetic equations with internal states	7
Statistical solutions of the incompressible Euler equations	7
Computing oscillatory solutions of the Euler system via ?-convergence	7
Isogeometric discretization methods in computational fluid mechanics	7
Final size and convergence rate for an epidemic in heterogeneous populations	7
Model predictive control with random batch methods for a guiding problem	7