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 2022-01-01 to 2026-01-01.)

Article	Citations
Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation	43
Uniqueness results for the Timoshenko beam model and identification of forces	29
On the multi-cluster flocking of the fractional Cucker–Smale model	28
Bloch estimates in non-doubling generalized Orlicz spaces	15
On the numerical discretization of a tumor progression model driven by competing migration mechanisms	15
The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3 $	14
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem	14
Kolmogorov algorithm for isochronous Hamiltonian systems	13
A graph-based framework for complex system simulating and diagnosis with automatic reconfiguration	12
Padé approximants of canards and critical regimes of Darrieus wind turbine model	10
Emergence of topological and geometric defects in the Gamma-limit of discrete energies	10
Nanoparticle-based organic polymer retinal prostheses: modeling, solution map and simulation	9
Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow	9
Fibonacci signals with timing jitter	8
Kolmogorov variation: KAM with knobs <i>(à la Kolmogorov)</i>	7
Numerical spectral analysis of standing waves in quantum hydrodynamics with viscosity	7
Modeling the propagation of riots, collective behaviors and epidemics	7
A symmetry theorem in two-phase heat conductors	7
Bitensorial formulation of the singularity method for Stokes flows	6
$ L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals	6
Reexamining low rank matrix factorization for trace norm regularization	6
On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients	6
Uniform density estimates and $ \Gamma $-convergence for the Alt-Phillips functional of negative powers	5
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics	5
Oldroyd 6-constant Electro-magneto-hydrodynamic fluid flow through parallel micro-plates with heat transfer using Darcy-Brinkman-Forchheimer model: A parametric investigation	5

Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks	5
Homogenization of composite materials reinforced with unidirectional fibres with complex curvilinear cross section: a virtual element approach	5
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces	5
A locally conservative staggered least squares method on polygonal meshes	5
Local boundedness of weak solutions to elliptic equations with $ p, q- $growth	5
The Gelfand problem for the Infinity Laplacian	5
Sub-exponential mixing of generalized cellular flows with bounded palenstrophy	5
Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter	4
Calculus of variations and nonlinear analysis: advances and applications	4
On the boundary Harnack principle in Hölder domains	4
On nonlinear Schrödinger equations with random initial data	4
Games associated with products of eigenvalues of the Hessian	4
Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling	4
The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom	4
Weak solutions of generated Jacobian equations	4
Nonlocal Harnack inequality in a disconnected region	4
Poincaré inequalities and Neumann problems for the variable exponent setting	4
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence	4
Approximation of elliptic and parabolic equations with Dirichlet boundary conditions	4
Nonlinear nonlocal equations involving subcritical or power nonlinearities and measure data	4
Quasiconvex bulk and surface energies with subquadratic growth	4
Signorini problem as a variational limit of obstacle problems in nonlinear elasticity	4
Potential-based versus non potential-based cohesive models accounting for loading and unloading with application to sliding elastic laminates	4
A guide to the design of the virtual element methods for second- and fourth-order partial differential equations	4
Time almost-periodic solutions of the incompressible Euler equations	4
Regularizing effect in some Mingione’s double phase problems with very singular data	4
On the analysis of a mechanically consistent model of fluid-structure-contact interaction	4
Two arbitrary-order constraint-preserving schemes for the Yang–Mills equations on polyhedral meshes	3
On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions	3
Composed perturbations to a coupled ODEs system with hysteresis	3
On an unsupervised method for parameter selection for the elastic net	3
A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation	3
The role of boundary conditions in scaling laws for turbulent heat transport	3
Nonnegative moment coordinates on finite element geometries	3
Stationary solutions to a hybrid viscous hydrodynamic model with classical boundaries	3
Multiscale regression on unknown manifolds	3
Semi-discrete linear hyperbolic polyharmonic flows of closed polygons	3
The total variation flow in metric graphs	3
Linearization and computation for large-strain visco-elasticity	3
Large deviations for a binary collision model: energy evaporation	3
The fourth-order total variation flow in $ \mathbb{R}^n $	3
Multiphase modelling of glioma pseudopalisading under acidosis	3
Thermoelastoplastic oscillator with Prandtl-Ishlinskii operator	2
Polyconvex functionals and maximum principle	2
A limiting case in partial regularity for quasiconvex functionals	2
Hardy potential versus lower order terms in Dirichlet problems: regularizing effects	2
On the convergence rates of discrete solutions to the Wave Kinetic Equation	2
Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density	2
A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model	2
Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime	2

Higher-order adaptive virtual element methods with contraction properties	2
Well-posedness of contact discontinuity solutions and vanishing pressure limit for the Aw–Rascle traffic flow model	2
Singular Kähler-Einstein metrics on $ \mathbb Q $-Fano compactifications of Lie groups	2
Spectral enclosures for the damped elastic wave equation	2
Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations	2
A diagrammatic view of differential equations in physics	2
Universal potential estimates for $ 1 < p\leq 2-\frac{1}{n} $	2
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots	2
Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities	2
On several types of hysteresis phenomena appearing in porous media	2
Modeling nitrogen removal in membrane aerated biofilm reactors: the role of nitritation, denitritation, and anammox nitrogen removal	2
SUPG-stabilized stabilization-free VEM: a numerical investigation	2
Instabilities in internal gravity waves	1
Deformable porous media with degenerate hysteresis in gravity field	1
Asymptotic finite-dimensional approximations for a class of extensible elastic systems	1
Potential estimates for fully nonlinear elliptic equations with bounded ingredients	1
The fractional Malmheden theorem	1
Variational modeling of paperboard delamination under bending	1
Bifurcation of relative periodic solutions in symmetric systems with hysteretic constitutive relations	1
The Pauli problem and wave function lifting: reconstruction of quantum states from physical observables	1
Variational analysis in one and two dimensions of a frustrated spin system: chirality and magnetic anisotropy transitions	1
Global existence for reaction-diffusion evolution equations driven by the $ {\text{p}} $-Laplacian on manifolds	1
Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations	1
Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip	1
On the fractional Kelvin-Voigt oscillator	1
Partial differential equations from theory to applications: Dedicated to Alberto Farina, on the occasion of his 50th birthday	1
Some comparison results and a partial bang-bang property for two-phases problems in balls	1
Exact solutions for the insulated and perfect conductivity problems with concentric balls	1
Isoparametric foliations and the Pompeiu property	1
Preface to the Special Issue: Nonlinear PDEs and geometric analysis – Dedicated to Neil Trudinger on the occasion of his 80th birthday	1
Stable anisotropic capillary hypersurfaces in a wedge	1
A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges	1
On the concentration–compactness principle for Folland–Stein spaces and for fractional horizontal Sobolev spaces	1
Neural networks for classification of strokes in electrical impedance tomography on a 3D head model	1
Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space	1
Reduced models of drug delivery in the presence of fast protein binding	1
Interpolating estimates with applications to some quantitative symmetry results	1
Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity	1
On the obstacle problem in fractional generalised Orlicz spaces	1
On Kolmogorov Fokker Planck operators with linear drift and time dependent measurable coefficients	1
A double free boundary problem on microbially induced corrosion in wastewater concrete	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
Partial regularity for steady double phase fluids	1
On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces	1
Comparison principles and applications to mathematical modelling of vegetal meta-communities	1
A novel hybrid model for task scheduling based on particle swarm optimization and genetic algorithms	1
Local boundedness for $ p $-Laplacian with degenerate coefficients	1
Improvements on overdetermined problems associated to the $ p $-Laplacian	1
The principal transmission condition	1
On an asymptotically log-periodic solution to the graphical curve shortening flow equation	1
Linear stability analysis of overdetermined problems with non-constant data	1
A further remark on the density estimate for degenerate Allen-Cahn equations: $ \Delta_{p} $-type equations for $ 1 < p < \frac{n}{n-1} $ with rough coefficients	1
Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations	1
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches	1