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 2021-03-01 to 2025-03-01.)

Article	Citations
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	83
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	60
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system	56
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	34
Alternative SIAR models for infectious diseases and applications in the study of non-compliance	32
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	27
Effects of degeneracies in taxis-driven evolution	27
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics	26
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	25
A multilayer network model of the coevolution of the spread of a disease and competing opinions	25
L1-Theory for Hele-Shaw flow with linear drift	23
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	22
Well-posedness of the 3D Peskin problem	22
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	18
Fluid–structure interaction modeling with nonmatching interface discretizations for compressible flow problems: Computational framework and validation study	18
A kinetic description of the body size distribution of species	18
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	18
Time fractional gradient flows: Theory and numerics	17
Stability for the training of deep neural networks and other classifiers	17
A particle method for non-local advection–selection–mutation equations	17
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	17
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks	17
Viscoelastic Cahn–Hilliard models for tumor growth	16
On the optimal control of propagation fronts	16
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	16

Entropy dissipation and propagation of chaos for the uniform reshuffling model	16
Model predictive control with random batch methods for a guiding problem	16
Beltrami’s completeness for ????p symmetric matrix fields	16
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	15
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	14
Asymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic source	14
A unified framework for Navier–Stokes Cahn–Hilliard models with non-matching densities	14
On the dynamic slip boundary condition for Navier–Stokes-like problems	14
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	13
Multilevel domain uncertainty quantification in computational electromagnetics	13
Taylor–Couette flow with temperature fluctuations: Time periodic solutions	13
Entropy-based convergence rates of greedy algorithms	12
Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions	12
A duality and free boundary approach to adverse selection	11
Isogeometric large-eddy simulations of turbulent particle-laden flows	11
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
Multigrid solvers for isogeometric discretizations of the second biharmonic problem	10
Global small solutions to the 3D compressible viscous non-resistive MHD system	10
Modeling self-aggregation of stochastic particles: A Γ-convergence approach	10
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	10
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	10
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	9
An existence result for accretive growth in elastic solids	9
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications	9
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	9
Non-isothermal non-Newtonian fluids: The stationary case	9
The stationary Boussinesq problem under singular forcing	9
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	9
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations	9
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Linearized von Kármán theory for incompressible magnetoelastic plates	8
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
On the Stabilization of a Virtual Element Method for an Acoustic Vibration Problem	8
Generalized solutions to bounded-confidence models	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
Surveys on new trends of applied mathematics towards research perspectives within a multiscale vision	7
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains	7
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	7
Geometric linearization of theories for incompressible elastic materials and applications	7
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	7
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	7
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	7
Kinetic and macroscopic models for active particles exploring complex environments with an internal navigation control system	7

Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	7
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	7
On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model	7