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 2021-05-01 to 2025-05-01.)

Article	Citations
Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation	33
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem	22
On the multi-cluster flocking of the fractional Cucker–Smale model	21
Bloch estimates in non-doubling generalized Orlicz spaces	13
On the numerical discretization of a tumor progression model driven by competing migration mechanisms	13
Kolmogorov algorithm for isochronous Hamiltonian systems	11
Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow	11
The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3 $	11
A graph-based framework for complex system simulating and diagnosis with automatic reconfiguration	10
A symmetry theorem in two-phase heat conductors	9
Modeling the propagation of riots, collective behaviors and epidemics	9
Nanoparticle-based organic polymer retinal prostheses: modeling, solution map and simulation	8
Kolmogorov variation: KAM with knobs <i>(à la Kolmogorov)</i>	6
Fibonacci signals with timing jitter	6
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
On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients	5
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
Numerical spectral analysis of standing waves in quantum hydrodynamics with viscosity	5
Homogenization of composite materials reinforced with unidirectional fibres with complex curvilinear cross section: a virtual element approach	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
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces	4
Calculus of variations and nonlinear analysis: advances and applications	4

Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics	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
A locally conservative staggered least squares method on polygonal meshes	4
Sub-exponential mixing of generalized cellular flows with bounded palenstrophy	4
The Gelfand problem for the Infinity Laplacian	4
Poincaré inequalities and Neumann problems for the variable exponent setting	4
Weak solutions of generated Jacobian equations	3
Games associated with products of eigenvalues of the Hessian	3
On the boundary Harnack principle in Hölder domains	3
The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom	3
Multiscale regression on unknown manifolds	3
Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter	3
Time almost-periodic solutions of the incompressible Euler equations	3
Regularizing effect in some Mingione’s double phase problems with very singular data	3
Nonlinear nonlocal equations involving subcritical or power nonlinearities and measure data	3
Approximation of elliptic and parabolic equations with Dirichlet boundary conditions	3
Signorini problem as a variational limit of obstacle problems in nonlinear elasticity	3
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence	3
On nonlinear Schrödinger equations with random initial data	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
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots	2
On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions	2
A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation	2
The total variation flow in metric graphs	2
Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities	2
Universal potential estimates for $ 1 < p\leq 2-\frac{1}{n} $	2
Hardy potential versus lower order terms in Dirichlet problems: regularizing effects	2
Higher-order adaptive virtual element methods with contraction properties	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
The role of boundary conditions in scaling laws for turbulent heat transport	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
A limiting case in partial regularity for quasiconvex functionals	2
Large deviations for a binary collision model: energy evaporation	2
The fourth-order total variation flow in $ \mathbb{R}^n $	2
Multiphase modelling of glioma pseudopalisading under acidosis	2
Nonnegative moment coordinates on finite element geometries	2
Linearization and computation for large-strain visco-elasticity	2
Polyconvex functionals and maximum principle	2
Spectral enclosures for the damped elastic wave equation	1
Interpolating estimates with applications to some quantitative symmetry results	1
On the obstacle problem in fractional generalised Orlicz spaces	1
Reduced models of drug delivery in the presence of fast protein binding	1
Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations	1
Neural networks for classification of strokes in electrical impedance tomography on a 3D head model	1
On the fractional Kelvin-Voigt oscillator	1
The principal transmission condition	1

Deformable porous media with degenerate hysteresis in gravity field	1
SUPG-stabilized stabilization-free VEM: a numerical investigation	1
Instabilities in internal gravity waves	1
Singular Kähler-Einstein metrics on $ \mathbb Q $-Fano compactifications of Lie groups	1
The Pauli problem and wave function lifting: reconstruction of quantum states from physical observables	1
A diagrammatic view of differential equations in physics	1
Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip	1
Isoparametric foliations and the Pompeiu property	1
Variational analysis in one and two dimensions of a frustrated spin system: chirality and magnetic anisotropy transitions	1
Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations	1
A novel hybrid model for task scheduling based on particle swarm optimization and genetic algorithms	1
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches	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
A machine learning approach to enhance the SUPG stabilization method for advection-dominated differential problems	1
Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations	1
Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity	1
Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density	1
On the concentration–compactness principle for Folland–Stein spaces and for fractional horizontal Sobolev spaces	1
Asymptotic finite-dimensional approximations for a class of extensible elastic systems	1
Potential estimates for fully nonlinear elliptic equations with bounded ingredients	1
Global existence for reaction-diffusion evolution equations driven by the $ {\text{p}} $-Laplacian on manifolds	1
Linear stability analysis of overdetermined problems with non-constant data	1
Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian	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
A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model	1
On Kolmogorov Fokker Planck operators with linear drift and time dependent measurable coefficients	1
On the convergence rates of discrete solutions to the Wave Kinetic Equation	1
On an asymptotically log-periodic solution to the graphical curve shortening flow equation	1