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 2021-04-01 to 2025-04-01.)

Article	Citations
Stable anisotropic capillary hypersurfaces in a wedge	32
Signorini problem as a variational limit of obstacle problems in nonlinear elasticity	22
Calculus of variations and nonlinear analysis: advances and applications	21
A weighted gradient estimate for solutions of $ L^p $ Christoffel-Minkowski problem	13
Games associated with products of eigenvalues of the Hessian	13
Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter	11
Preface to the Special Issue: Nonlinear PDEs and geometric analysis – Dedicated to Neil Trudinger on the occasion of his 80th birthday	11
Weak solutions of generated Jacobian equations	10
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence	9
Variational analysis in one and two dimensions of a frustrated spin system: chirality and magnetic anisotropy transitions	9
Bloch estimates in non-doubling generalized Orlicz spaces	7
Time almost-periodic solutions of the incompressible Euler equations	7
Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations	6
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots	6
On the multi-cluster flocking of the fractional Cucker–Smale model	5
Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities	5
Comparison principles and applications to mathematical modelling of vegetal meta-communities	5
Quadrature-free polytopic discontinuous Galerkin methods for transport problems	5
On nonlinear Schrödinger equations with random initial data	5
On the numerical discretization of a tumor progression model driven by competing migration mechanisms	5
Propagation of smallness for solutions of elliptic equations in the plane	4
A limiting case in partial regularity for quasiconvex functionals	4
Local well-posedness of 1D degenerate drift diffusion equation	4
Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation	4
On the boundary Harnack principle in Hölder domains	4

Linear stability analysis of overdetermined problems with non-constant data	4
The fractional Malmheden theorem	4
Isoparametric foliations and the Pompeiu property	3
Anisotropic elliptic equations with gradient-dependent lower order terms and $ L^1 $ data	3
Uniqueness of entire solutions to quasilinear equations of $ p $-Laplace type	3
Universal potential estimates for $ 1 < p\leq 2-\frac{1}{n} $	3
Singular structures in solutions to the Monge-Ampère equation with point masses	3
On the influence of gravity in the dynamics of geophysical flows	3
Nonlinear nonlocal equations involving subcritical or power nonlinearities and measure data	3
Neural networks for classification of strokes in electrical impedance tomography on a 3D head model	3
Kolmogorov algorithm for isochronous Hamiltonian systems	3
Approximation of elliptic and parabolic equations with Dirichlet boundary conditions	3
Fluid instabilities, waves and non-equilibrium dynamics of interacting particles: a short overview	3
Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian	3
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem	3
Hardy potential versus lower order terms in Dirichlet problems: regularizing effects	3
A graph-based framework for complex system simulating and diagnosis with automatic reconfiguration	3
A novel hybrid model for task scheduling based on particle swarm optimization and genetic algorithms	2
Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime	2
On the analysis of a mechanically consistent model of fluid-structure-contact interaction	2
A diagrammatic view of differential equations in physics	2
Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip	2
Spectral enclosures for the damped elastic wave equation	2
Regularizing effect in some Mingione’s double phase problems with very singular data	2
A multi-scale method for complex flows of non-Newtonian fluids	2
A volume constraint problem for the nonlocal doubly nonlinear parabolic equation	2
The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3 $	2
Space-time statistics of a linear dynamical energy cascade model	2
On the low Mach number limit for 2D Navier–Stokes–Korteweg systems	2
Multiscale regression on unknown manifolds	2
Polyconvex functionals and maximum principle	2
The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom	2
Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow	2
Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling	2
Nanoparticle-based organic polymer retinal prostheses: modeling, solution map and simulation	2
A symmetry theorem in two-phase heat conductors	2
Near-resonances and detuning in classical and quantum mechanics	1
On the obstacle problem in fractional generalised Orlicz spaces	1
Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density	1
Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori	1
A limiting model for a low Reynolds number swimmer with $ N $ passive elastic arms	1
On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces	1
Kolmogorov variation: KAM with knobs <i>(à la Kolmogorov)</i>	1
On the uniqueness of mild solutions for the parabolic-elliptic Keller-Segel system in the critical $ L^{p} $-space	1
Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle	1
Global existence for reaction-diffusion evolution equations driven by the $ {\text{p}} $-Laplacian on manifolds	1
On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients	1
Exact solutions for the insulated and perfect conductivity problems with concentric balls	1
The role of boundary conditions in scaling laws for turbulent heat transport	1
Singular Kähler-Einstein metrics on $ \mathbb Q $-Fano compactifications of Lie groups	1

On the convergence rates of discrete solutions to the Wave Kinetic Equation	1
Local Calderón-Zygmund estimates for parabolic equations in weighted Lebesgue spaces	1
Numerical spectral analysis of standing waves in quantum hydrodynamics with viscosity	1
Modeling the propagation of riots, collective behaviors and epidemics	1
Some evaluations of the fractional $ p $-Laplace operator on radial functions	1
SUPG-stabilized stabilization-free VEM: a numerical investigation	1
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches	1
Bitensorial formulation of the singularity method for Stokes flows	1
A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation	1
High-order discontinuous Galerkin methods for the monodomain and bidomain models	1
Some comparison results and a partial bang-bang property for two-phases problems in balls	1
Fractional KPZ equations with fractional gradient term and Hardy potential	1
A machine learning approach to enhance the SUPG stabilization method for advection-dominated differential problems	1
A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators	1
Potential estimates for fully nonlinear elliptic equations with bounded ingredients	1
Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations	1
Equivalence of solutions for non-homogeneous $ p(x) $-Laplace equations	1
Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based reduced order models	1
Fibonacci signals with timing jitter	1
Instabilities in internal gravity waves	1
Improved convergence rates for some kernel random forest algorithms	1
Symmetry of hypersurfaces and the Hopf Lemma	1
$ L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals	1
A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model	1
Reexamining low rank matrix factorization for trace norm regularization	1
Interpolating estimates with applications to some quantitative symmetry results	1