OOIR: Observatory of International Research

Papers

(The median citation count of Mathematics in Engineering is 1. 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 2021-08-01 to 2025-08-01.)

Article	Citations
Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation	36
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem	25
On the multi-cluster flocking of the fractional Cucker–Smale model	23
On the numerical discretization of a tumor progression model driven by competing migration mechanisms	15
Uniqueness results for the Timoshenko beam model and identification of forces	13
Bloch estimates in non-doubling generalized Orlicz spaces	13
The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3 $	13
Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow	11
Kolmogorov algorithm for isochronous Hamiltonian systems	10
Padé approximants of canards and critical regimes of Darrieus wind turbine model	9
A graph-based framework for complex system simulating and diagnosis with automatic reconfiguration	9
Nanoparticle-based organic polymer retinal prostheses: modeling, solution map and simulation	8
Fibonacci signals with timing jitter	7
Numerical spectral analysis of standing waves in quantum hydrodynamics with viscosity	6
Modeling the propagation of riots, collective behaviors and epidemics	6
Kolmogorov variation: KAM with knobs <i>(à la Kolmogorov)</i>	6
A symmetry theorem in two-phase heat conductors	6
Bitensorial formulation of the singularity method for Stokes flows	5
$ L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals	5
On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients	5
Uniform density estimates and $ \Gamma $-convergence for the Alt-Phillips functional of negative powers	5
Reexamining low rank matrix factorization for trace norm regularization	5
Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks	5
Oldroyd 6-constant Electro-magneto-hydrodynamic fluid flow through parallel micro-plates with heat transfer using Darcy-Brinkman-Forchheimer model: A parametric investigation	4
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics	4

Poincaré inequalities and Neumann problems for the variable exponent setting	4
The Gelfand problem for the Infinity Laplacian	4
A locally conservative staggered least squares method on polygonal meshes	4
Local boundedness of weak solutions to elliptic equations with $ p, q- $growth	4
A guide to the design of the virtual element methods for second- and fourth-order partial differential equations	4
Potential-based versus non potential-based cohesive models accounting for loading and unloading with application to sliding elastic laminates	4
Sub-exponential mixing of generalized cellular flows with bounded palenstrophy	4
Homogenization of composite materials reinforced with unidirectional fibres with complex curvilinear cross section: a virtual element approach	4
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces	4
Calculus of variations and nonlinear analysis: advances and applications	4
On the boundary Harnack principle in Hölder domains	3
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence	3
Games associated with products of eigenvalues of the Hessian	3
On the analysis of a mechanically consistent model of fluid-structure-contact interaction	3
Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling	3
A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation	3
On nonlinear Schrödinger equations with random initial data	3
Signorini problem as a variational limit of obstacle problems in nonlinear elasticity	3
Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter	3
Regularizing effect in some Mingione’s double phase problems with very singular data	3
The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom	3
Multiphase modelling of glioma pseudopalisading under acidosis	3
Time almost-periodic solutions of the incompressible Euler equations	3
Weak solutions of generated Jacobian equations	3
Quasiconvex bulk and surface energies with subquadratic growth	3
Nonlinear nonlocal equations involving subcritical or power nonlinearities and measure data	3
Multiscale regression on unknown manifolds	3
Approximation of elliptic and parabolic equations with Dirichlet boundary conditions	3
Nonnegative moment coordinates on finite element geometries	2
Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities	2
A limiting case in partial regularity for quasiconvex functionals	2
Hardy potential versus lower order terms in Dirichlet problems: regularizing effects	2
On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions	2
Semi-discrete linear hyperbolic polyharmonic flows of closed polygons	2
The fourth-order total variation flow in $ \mathbb{R}^n $	2
Higher-order adaptive virtual element methods with contraction properties	2
Polyconvex functionals and maximum principle	2
A diagrammatic view of differential equations in physics	2
The total variation flow in metric graphs	2
Two arbitrary-order constraint-preserving schemes for the Yang–Mills equations on polyhedral meshes	2
On an unsupervised method for parameter selection for the elastic net	2
Linearization and computation for large-strain visco-elasticity	2
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots	2
Universal potential estimates for $ 1 < p\leq 2-\frac{1}{n} $	2
Stationary solutions to a hybrid viscous hydrodynamic model with classical boundaries	2
Large deviations for a binary collision model: energy evaporation	2
The role of boundary conditions in scaling laws for turbulent heat transport	2
Asymptotic finite-dimensional approximations for a class of extensible elastic systems	1
Global existence for reaction-diffusion evolution equations driven by the $ {\text{p}} $-Laplacian on manifolds	1
Some comparison results and a partial bang-bang property for two-phases problems in balls	1

Isoparametric foliations and the Pompeiu property	1
Instabilities in internal gravity waves	1
Reduced models of drug delivery in the presence of fast protein binding	1
A machine learning approach to enhance the SUPG stabilization method for advection-dominated differential problems	1
Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian	1
Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime	1
Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations	1
Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density	1
On Kolmogorov Fokker Planck operators with linear drift and time dependent measurable coefficients	1
Well-posedness of contact discontinuity solutions and vanishing pressure limit for the Aw–Rascle traffic flow model	1
The principal transmission condition	1
Partial differential equations from theory to applications: Dedicated to Alberto Farina, on the occasion of his 50th birthday	1
Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip	1
On the convergence rates of discrete solutions to the Wave Kinetic Equation	1
A novel hybrid model for task scheduling based on particle swarm optimization and genetic algorithms	1
Exact solutions for the insulated and perfect conductivity problems with concentric balls	1
On the obstacle problem in fractional generalised Orlicz spaces	1
On several types of hysteresis phenomena appearing in porous media	1
Neural networks for classification of strokes in electrical impedance tomography on a 3D head model	1
Modeling nitrogen removal in membrane aerated biofilm reactors: the role of nitritation, denitritation, and anammox nitrogen removal	1
On the fractional Kelvin-Voigt oscillator	1
Spectral enclosures for the damped elastic wave equation	1
On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces	1
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches	1
Interpolating estimates with applications to some quantitative symmetry results	1
Potential estimates for fully nonlinear elliptic equations with bounded ingredients	1
Deformable porous media with degenerate hysteresis in gravity field	1
Variational analysis in one and two dimensions of a frustrated spin system: chirality and magnetic anisotropy transitions	1
A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model	1
Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations	1
SUPG-stabilized stabilization-free VEM: a numerical investigation	1
Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity	1
Singular Kähler-Einstein metrics on $ \mathbb Q $-Fano compactifications of Lie groups	1
Linear stability analysis of overdetermined problems with non-constant data	1
Thermoelastoplastic oscillator with Prandtl-Ishlinskii operator	1
Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations	1