OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Models & Methods in Applied Sciences is 6. 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 2021-02-01 to 2025-02-01.)

Article	Citations
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	69
Multigrid solvers for isogeometric discretizations of the second biharmonic problem	60
Isogeometric large-eddy simulations of turbulent particle-laden flows	51
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	34
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system	32
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	27
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	26
Alternative SIAR models for infectious diseases and applications in the study of non-compliance	25
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	25
Effects of degeneracies in taxis-driven evolution	24
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	23
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics	22
A multilayer network model of the coevolution of the spread of a disease and competing opinions	19
Entropy-based convergence rates of greedy algorithms	18
L1-Theory for Hele-Shaw flow with linear drift	18
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	18
Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions	17
Fluid–structure interaction modeling with nonmatching interface discretizations for compressible flow problems: Computational framework and validation study	17
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks	17
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	16
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	16
A kinetic description of the body size distribution of species	16
Viscoelastic Cahn–Hilliard models for tumor growth	16
Time fractional gradient flows: Theory and numerics	16
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	16

Model predictive control with random batch methods for a guiding problem	16
A particle method for non-local advection–selection–mutation equations	16
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	15
Stability for the training of deep neural networks and other classifiers	15
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	14
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	14
On the optimal control of propagation fronts	14
Beltrami’s completeness for ????p symmetric matrix fields	14
Multilevel domain uncertainty quantification in computational electromagnetics	14
Modeling self-aggregation of stochastic particles: A Γ-convergence approach	13
On the dynamic slip boundary condition for Navier–Stokes-like problems	12
Entropy dissipation and propagation of chaos for the uniform reshuffling model	12
Global small solutions to the 3D compressible viscous non-resistive MHD system	12
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	11
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	10
Asymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic source	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	10
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations	9
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	9
Non-isothermal non-Newtonian fluids: The stationary case	9
Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity	9
An existence result for accretive growth in elastic solids	9
A unified framework for Navier–Stokes Cahn–Hilliard models with non-matching densities	9
Statistical solutions of the incompressible Euler equations	9
Taylor–Couette flow with temperature fluctuations: Time periodic solutions	9
A duality and free boundary approach to adverse selection	9
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	9
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	9
Well-posedness of the 3D Peskin problem	9
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	8
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	8
Kinetic modeling of a leader–follower system in crowd evacuation with collective learning	8
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings	8
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications	8
The particle paths of hyperbolic conservation laws	8
A mean field game model of firm-level innovation	8
Local-length-scale calculation in T-splines meshes for complex geometries	8
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	8
On nonlinear problems of parabolic type with implicit constitutive equations involving flux	8
Author index Volume 32	7
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	7
Linearized von Kármán theory for incompressible magnetoelastic plates	7
A robust VEM-based approach for flow simulations in poro-fractured media	7
A diffuse-domain-based numerical method for a chemotaxis-fluid model	7
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	7
Thermodynamically consistent modeling for complex fluids and mathematical analysis	7
Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities	7
Erratum: Doubly nonlinear stochastic evolution equations	7
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	7

Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution	7
Generalized solutions to bounded-confidence models	6
Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method	6
Geometric linearization of theories for incompressible elastic materials and applications	6
Singular patterns in Keller–Segel-type models	6
Kinetic and macroscopic models for active particles exploring complex environments with an internal navigation control system	6
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	6
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains	6
Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation	6
Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	6
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	6