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 2020-03-01 to 2024-03-01.)

Article	Citations
A simple SIR model with a large set of asymptomatic infectives	44
A Gaussian Process Regression approach within a data-driven POD framework for engineering problems in fluid dynamics	14
On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure	13
A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators	11
Effective governing equations for heterogenous porous media subject to inhomogeneous body forces	10
Heat diffusion in a channel under white noise modeling of turbulence	10
Asymptotic analysis of compression sensing in ionic polymer metal composites: The role of interphase regions with variable properties	10
Liouville type theorems and regularity of solutions to degenerate or singular problems part II: odd solutions	9
Neural architecture search via standard machine learning methodologies	9
Mean field games of controls: Finite difference approximations	9
On the concentration–compactness principle for Folland–Stein spaces and for fractional horizontal Sobolev spaces	8
Stability of the standing waves of the concentrated NLSE in dimension two	8
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics	8
On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation	8
Neural networks for classification of strokes in electrical impedance tomography on a 3D head model	8
A mean field game price model with noise	7
Local boundedness of weak solutions to elliptic equations with $ p, q- $growth	7
Understanding the FPU state in FPU–like models	7
A machine learning approach to enhance the SUPG stabilization method for advection-dominated differential problems	7
Optimal gradient estimates for multi-phase integrals	6
Interpolating estimates with applications to some quantitative symmetry results	6
Oldroyd 6-constant Electro-magneto-hydrodynamic fluid flow through parallel micro-plates with heat transfer using Darcy-Brinkman-Forchheimer model: A parametric investigation	5
Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime	5
From point particles to body points	5
On the local theory of prescribed Jacobian equations revisited	5

On fractional Schrödinger equations with Hartree type nonlinearities	5
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling	4
On real resonances for three-dimensional Schrödinger operators with point interactions	4
The moon lander optimal control problem revisited	4
Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian	4
Anisotropic elliptic equations with gradient-dependent lower order terms and $ L^1 $ data	4
Normal form for lower dimensional elliptic tori in Hamiltonian systems	4
Singular Kähler-Einstein metrics on $ \mathbb Q $-Fano compactifications of Lie groups	4
The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3 $	4
A note on quasilinear equations with fractional diffusion	4
Long-time stability of the quantum hydrodynamic system on irrational tori	4
Uniform density estimates and $ \Gamma $-convergence for the Alt-Phillips functional of negative powers	4
Bounds on eigenvalues of perturbed Lamé operators with complex potentials	4
On the anisotropic Kirchhoff-Plateau problem	4
Multiphase modelling of glioma pseudopalisading under acidosis	3
On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces	3
Multiscale regression on unknown manifolds	3
Modeling the propagation of riots, collective behaviors and epidemics	3
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem	3
Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities	3
On the fractional Kelvin-Voigt oscillator	3
The role of boundary conditions in scaling laws for turbulent heat transport	3
A geometric capacitary inequality for sub-static manifolds with harmonic potentials	3
Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient	3
Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains	3
On the boundary Harnack principle in Hölder domains	3
Sharp Strichartz estimates for some variable coefficient Schrödinger operators on $ \mathbb{R}\times\mathbb{T}^2 $	3
Some comparison results and a partial bang-bang property for two-phases problems in balls	3
Weak maximum principle for Dirichlet problems with convection or drift terms	3
A $C^\infty$ Nekhoroshev theorem	3
Recent rigidity results for graphs with prescribed mean curvature	3
Two overdetermined problems for anisotropic $ p $-Laplacian	3
Fractional Laplacians on ellipsoids	2
Stable anisotropic capillary hypersurfaces in a wedge	2
The infinity-Laplacian in smooth convex domains and in a square	2
Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations	2
Foundations of physics in Milan, Padua and Paris. Newtonian trajectories from celestial mechanics to atomic physics	2
$ L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals	2
A nonlinear diffusion equation with reaction localized in the half-line	2
Singular structures in solutions to the Monge-Ampère equation with point masses	2
A weighted gradient estimate for solutions of $ L^p $ Christoffel-Minkowski problem	2
On nonlinear Schrödinger equations with random initial data	2
Singular elliptic equations with directional diffusion	2
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces	2
Interior curvature bounds for a type of mixed Hessian quotient equations	2
On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions	2
The principal transmission condition	2
On some non-local approximation of nonisotropic Griffith-type functionals	2
Space-time statistics of a linear dynamical energy cascade model	2
A diagrammatic view of differential equations in physics	2

The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence	2
Beams with an intermediate pier: Spectral properties, asymmetry and stability	2
Unique continuation from the edge of a crack	2
Linearization and computation for large-strain visco-elasticity	2
Finite element algorithms for nonlocal minimal graphs	2
Multiscale simulation of a polymer melt flow between two coaxial cylinders under nonisothermal conditions	2
Instabilities in internal gravity waves	2
Low dimensional completely resonant tori in Hamiltonian Lattices and a Theorem of Poincaré	2
Gradient Lagrangian systems and semilinear PDE	2
A multi-scale method for complex flows of non-Newtonian fluids	2
Convex duality for principal frequencies	2
Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations	1
Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based reduced order models	1
The fractional Malmheden theorem	1
On the Harnack inequality for non-divergence parabolic equations	1
Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group	1
Kolmogorov variation: KAM with knobs <i>(à la Kolmogorov)</i>	1
A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges	1
On the low Mach number limit for 2D Navier–Stokes–Korteweg systems	1
The total variation flow in metric graphs	1
A quantitative stability inequality for fractional capacities	1
Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow	1
Convergence for global curve diffusion flows	1
Universal potential estimates for $ 1 < p\leq 2-\frac{1}{n} $	1
Lipschitz continuity of minimizers in a problem with nonstandard growth	1
Linear stability analysis of overdetermined problems with non-constant data	1
Sub-exponential mixing of generalized cellular flows with bounded palenstrophy	1
Weak solutions of generated Jacobian equations	1
Bitensorial formulation of the singularity method for Stokes flows	1
A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model	1
Comparison principles and applications to mathematical modelling of vegetal meta-communities	1
A minimizing-movements approach to GENERIC systems	1
Polar tangential angles and free elasticae	1
Optimal control of a chemotaxis equation arising in angiogenesis	1
Variational modeling of paperboard delamination under bending	1
SUPG-stabilized stabilization-free VEM: a numerical investigation	1
Half-harmonic gradient flow: aspects of a non-local geometric PDE	1
Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori	1
A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller–Segel systems	1
Isoparametric foliations and the Pompeiu property	1
A note on the Kuramoto-Sivashinsky equation with discontinuity	1
Nonlocal diffusion of smooth sets	1
On the influence of gravity in the dynamics of geophysical flows	1
The ergodic limit for weak solutions of elliptic equations with Neumann boundary condition	1
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots	1
A matrix Harnack inequality for semilinear heat equations	1
On the logarithmic epiperimetric inequality for the obstacle problem	1
A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation	1
Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle	1
A triviality result for semilinear parabolic equations	1
Existence of generalized solutions for Keller-Segel-Navier-Stokes equations with degradation in dimension three	1
On the uniqueness of mild solutions for the parabolic-elliptic Keller-Segel system in the critical $ L^{p} $-space	1
Poincaré inequalities and Neumann problems for the variable exponent setting	1
Equivalence of solutions for non-homogeneous $ p(x) $-Laplace equations	1
Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity	1
Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations	1
Mixed-integer quadratic programming reformulations of multi-task learning models	1
Spectral enclosures for the damped elastic wave equation	1
Symmetry break in the eight bubble compaction	1
The fourth-order total variation flow in $ \mathbb{R}^n $	1
Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions	1
Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number	1
Kolmogorov algorithm for isochronous Hamiltonian systems	1
Large deviations for a binary collision model: energy evaporation	1
Bloch estimates in non-doubling generalized Orlicz spaces	1
Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group	1
On the numerical discretization of a tumor progression model driven by competing migration mechanisms	1
Symmetry of hypersurfaces and the Hopf Lemma	1