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 2021-04-01 to 2025-04-01.)

Article	Citations
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	88
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	70
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system	59
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	39
Alternative SIAR models for infectious diseases and applications in the study of non-compliance	38
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	31
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	29
Conservation Laws with Discontinuous Gradient-Dependent Flux:the Stable Case	29
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics	29
Effects of degeneracies in taxis-driven evolution	27
Entropy dissipation and propagation of chaos for the uniform reshuffling model	25
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	24
L1-Theory for Hele-Shaw flow with linear drift	23
Well-posedness of the 3D Peskin problem	23
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	21
Fluid–structure interaction modeling with nonmatching interface discretizations for compressible flow problems: Computational framework and validation study	21
A kinetic description of the body size distribution of species	21
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	20
Stability for the training of deep neural networks and other classifiers	19
A particle method for non-local advection–selection–mutation equations	18
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks	18
Beltrami’s completeness for ????p symmetric matrix fields	17
On the optimal control of propagation fronts	17
Model predictive control with random batch methods for a guiding problem	17
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	17

Time fractional gradient flows: Theory and numerics	17
Multilevel domain uncertainty quantification in computational electromagnetics	16
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	16
On the dynamic slip boundary condition for Navier–Stokes-like problems	16
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	15
Multigrid solvers for isogeometric discretizations of the second biharmonic problem	14
Entropy-based convergence rates of greedy algorithms	14
Isogeometric large-eddy simulations of turbulent particle-laden flows	14
Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions	14
A duality and free boundary approach to adverse selection	14
Taylor–Couette flow with temperature fluctuations: Time periodic solutions	14
Global small solutions to the 3D compressible viscous non-resistive MHD system	13
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	13
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	12
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	12
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	12
Modeling self-aggregation of stochastic particles: A Γ-convergence approach	12
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations	11
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	11
Non-isothermal non-Newtonian fluids: The stationary case	10
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	10
An existence result for accretive growth in elastic solids	10
A unified framework for Navier–Stokes Cahn–Hilliard models with non-matching densities	10
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	10
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	10
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	10
Viscoelastic Cahn–Hilliard models for tumor growth	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Surveys on new trends of applied mathematics towards research perspectives within a multiscale vision	9
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	9
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings	9
Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas	9
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications	9
A multilayer network model of the coevolution of the spread of a disease and competing opinions	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
The stationary Boussinesq problem under singular forcing	9
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients	8
The particle paths of hyperbolic conservation laws	8
Erratum: Doubly nonlinear stochastic evolution equations	8
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	8
Author index Volume 32	8
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	8
Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity	7
Generalized solutions to bounded-confidence models	7
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	7
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	7
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	7
Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	7
On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model	7
On the stabilization of a virtual element method for an acoustic vibration problem	7

Kinetic and macroscopic models for active particles exploring complex environments with an internal navigation control system	7
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	7
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains	7
Thermodynamically consistent modeling for complex fluids and mathematical analysis	7