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 2021-11-01 to 2025-11-01.)

Article	Citations
Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation	39
On the multi-cluster flocking of the fractional Cucker–Smale model	27
Uniqueness results for the Timoshenko beam model and identification of forces	27
On the numerical discretization of a tumor progression model driven by competing migration mechanisms	15
Bloch estimates in non-doubling generalized Orlicz spaces	15
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem	14
Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow	13
Kolmogorov algorithm for isochronous Hamiltonian systems	12
The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3 $	12
A graph-based framework for complex system simulating and diagnosis with automatic reconfiguration	10
Padé approximants of canards and critical regimes of Darrieus wind turbine model	9
Emergence of topological and geometric defects in the Gamma-limit of discrete energies	8
Numerical spectral analysis of standing waves in quantum hydrodynamics with viscosity	7
Nanoparticle-based organic polymer retinal prostheses: modeling, solution map and simulation	7
A symmetry theorem in two-phase heat conductors	7
Fibonacci signals with timing jitter	7
Modeling the propagation of riots, collective behaviors and epidemics	6
Kolmogorov variation: KAM with knobs <i>(à la Kolmogorov)</i>	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
Bitensorial formulation of the singularity method for Stokes flows	6
Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks	5
Sub-exponential mixing of generalized cellular flows with bounded palenstrophy	5
Uniform density estimates and $ \Gamma $-convergence for the Alt-Phillips functional of negative powers	5
A locally conservative staggered least squares method on polygonal meshes	5

On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients	5
A guide to the design of the virtual element methods for second- and fourth-order partial differential equations	4
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces	4
Potential-based versus non potential-based cohesive models accounting for loading and unloading with application to sliding elastic laminates	4
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics	4
Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter	4
Quasiconvex bulk and surface energies with subquadratic growth	4
Games associated with products of eigenvalues of the Hessian	4
Poincaré inequalities and Neumann problems for the variable exponent setting	4
Homogenization of composite materials reinforced with unidirectional fibres with complex curvilinear cross section: a virtual element approach	4
Local boundedness of weak solutions to elliptic equations with $ p, q- $growth	4
Signorini problem as a variational limit of obstacle problems in nonlinear elasticity	4
On the boundary Harnack principle in Hölder domains	4
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence	4
The Gelfand problem for the Infinity Laplacian	4
Oldroyd 6-constant Electro-magneto-hydrodynamic fluid flow through parallel micro-plates with heat transfer using Darcy-Brinkman-Forchheimer model: A parametric investigation	4
Calculus of variations and nonlinear analysis: advances and applications	4
Weak solutions of generated Jacobian equations	4
On nonlinear Schrödinger equations with random initial data	4
Time almost-periodic solutions of the incompressible Euler equations	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
Regularizing effect in some Mingione’s double phase problems with very singular data	3
On the analysis of a mechanically consistent model of fluid-structure-contact interaction	3
On an unsupervised method for parameter selection for the elastic net	3
Semi-discrete linear hyperbolic polyharmonic flows of closed polygons	3
The total variation flow in metric graphs	3
Nonnegative moment coordinates on finite element geometries	3
The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom	3
Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling	3
The role of boundary conditions in scaling laws for turbulent heat transport	3
The fourth-order total variation flow in $ \mathbb{R}^n $	3
Large deviations for a binary collision model: energy evaporation	3
Multiphase modelling of glioma pseudopalisading under acidosis	3
A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation	3
Nonlinear nonlocal equations involving subcritical or power nonlinearities and measure data	3
Approximation of elliptic and parabolic equations with Dirichlet boundary conditions	3
Multiscale regression on unknown manifolds	3
Polyconvex functionals and maximum principle	2
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots	2
Linearization and computation for large-strain visco-elasticity	2
A diagrammatic view of differential equations in physics	2
Well-posedness of contact discontinuity solutions and vanishing pressure limit for the Aw–Rascle traffic flow model	2
Spectral enclosures for the damped elastic wave equation	2
Thermoelastoplastic oscillator with Prandtl-Ishlinskii operator	2
Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities	2
Composed perturbations to a coupled ODEs system with hysteresis	2
Universal potential estimates for $ 1 < p\leq 2-\frac{1}{n} $	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

Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations	2
On the convergence rates of discrete solutions to the Wave Kinetic Equation	2
Hardy potential versus lower order terms in Dirichlet problems: regularizing effects	2
A limiting case in partial regularity for quasiconvex functionals	2
Higher-order adaptive virtual element methods with contraction properties	2
Stationary solutions to a hybrid viscous hydrodynamic model with classical boundaries	2
Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime	2
SUPG-stabilized stabilization-free VEM: a numerical investigation	2
Singular Kähler-Einstein metrics on $ \mathbb Q $-Fano compactifications of Lie groups	2
Asymptotic finite-dimensional approximations for a class of extensible elastic systems	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
On Kolmogorov Fokker Planck operators with linear drift and time dependent measurable coefficients	1
Instabilities in internal gravity waves	1
A double free boundary problem on microbially induced corrosion in wastewater concrete	1
Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density	1
Variational analysis in one and two dimensions of a frustrated spin system: chirality and magnetic anisotropy transitions	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
Potential estimates for fully nonlinear elliptic equations with bounded ingredients	1
Interpolating estimates with applications to some quantitative symmetry results	1
On the concentration–compactness principle for Folland–Stein spaces and for fractional horizontal Sobolev spaces	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
On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces	1
Exact solutions for the insulated and perfect conductivity problems with concentric balls	1
Reduced models of drug delivery in the presence of fast protein binding	1
Some comparison results and a partial bang-bang property for two-phases problems in balls	1
A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges	1
Partial regularity for steady double phase fluids	1
A novel hybrid model for task scheduling based on particle swarm optimization and genetic algorithms	1
Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space	1
Linear stability analysis of overdetermined problems with non-constant data	1
Global existence for reaction-diffusion evolution equations driven by the $ {\text{p}} $-Laplacian on manifolds	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
The principal transmission condition	1
Deformable porous media with degenerate hysteresis in gravity field	1
A machine learning approach to enhance the SUPG stabilization method for advection-dominated differential problems	1
A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model	1
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches	1
Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian	1
Local boundedness for $ p $-Laplacian with degenerate coefficients	1
Neural networks for classification of strokes in electrical impedance tomography on a 3D head model	1
Isoparametric foliations and the Pompeiu property	1
On an asymptotically log-periodic solution to the graphical curve shortening flow equation	1