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 2020-11-01 to 2024-11-01.)

Article	Citations
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision	69
What is life? A perspective of the mathematical kinetic theory of active particles	60
Towards a mathematical theory of behavioral human crowds	51
A multilayer network model of the coevolution of the spread of a disease and competing opinions	34
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	32
Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source	31
Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit	30
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit	26
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth	25
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy	25
Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics	25
Human behavioral crowds review, critical analysis and research perspectives	24
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations	23
A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian province	20
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows	19
Control of COVID-19 outbreak using an extended SEIR model	18
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis	17
A kinetic theory approach for 2D crowd dynamics with emotional contagion	17
Disease contagion models coupled to crowd motion and mesh-free simulation	17
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	17
Vorticity-stabilized virtual elements for the Oseen equation	16
A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints	16
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	16
The curl–curl conforming virtual element method for the quad-curl problem	16
Time-fractional Moore–Gibson–Thompson equations	16

Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis	16
Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces	16
A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations	16
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	16
Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations	15
On a nonlocal Cahn–Hilliard model permitting sharp interfaces	15
Global solvability and asymptotic stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with indirect signal production	15
Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain	15
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary	14
A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems	14
Hybridization of the virtual element method for linear elasticity problems	14
A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh	14
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics	14
A ternary Cahn–Hilliard–Navier–Stokes model for two-phase flow with precipitation and dissolution	13
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains	13
DG approach to large bending plate deformations with isometry constraint	13
Asymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic source	12
The one-phase fractional Stefan problem	12
A unified framework for Navier–Stokes Cahn–Hilliard models with non-matching densities	11
Statistical solutions of the incompressible Euler equations	11
Geometric linearization of theories for incompressible elastic materials and applications	10
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction	10
Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models	10
Transmission dynamics and quarantine control of COVID-19 in cluster community: A new transmission-quarantine model with case study for diamond princess	10
Model predictive control with random batch methods for a guiding problem	10
Viscoelastic Cahn–Hilliard models for tumor growth	9
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	9
Error estimates of local energy regularization for the logarithmic Schrödinger equation	9
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	9
Equilibrium analysis of an immersed rigid leaflet by the virtual element method	9
Isogeometric discretization methods in computational fluid mechanics	9
Individual-based Markov model of virus diffusion: Comparison with COVID-19 incubation period, serial interval and regional time series	9
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	9
Virus models in complex frameworks: Towards modeling space patterns of SARS-CoV-2 epidemics	9
Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model	9
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	9
Computing oscillatory solutions of the Euler system via ?-convergence	8
Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles	8
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks	8
Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media	8
Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response	8
Final size and convergence rate for an epidemic in heterogeneous populations	8
Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: Mean-field limit and convergence	8
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	8
Generalized solutions to bounded-confidence models	8
Global regularity for a 1D Euler-alignment system with misalignment	7
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	7
Kinetic modeling of a leader–follower system in crowd evacuation with collective learning	7
On the dynamic slip boundary condition for Navier–Stokes-like problems	7
Analysis-aware defeaturing: Problem setting and a posteriori estimation	7

Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis	7
Immersed virtual element methods for electromagnetic interface problems in three dimensions	7
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	7
Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation	7
On some smooth symmetric transonic flows with nonzero angular velocity and vorticity	7
On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model	7
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications	7