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 2020-11-01 to 2024-11-01.)

Article	Citations
A simple SIR model with a large set of asymptomatic infectives	43
On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure	23
A Gaussian Process Regression approach within a data-driven POD framework for engineering problems in fluid dynamics	18
A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators	15
Liouville type theorems and regularity of solutions to degenerate or singular problems part II: odd solutions	14
Local boundedness of weak solutions to elliptic equations with $ p, q- $growth	14
Neural architecture search via standard machine learning methodologies	12
Mean field games of controls: Finite difference approximations	11
On the concentration–compactness principle for Folland–Stein spaces and for fractional horizontal Sobolev spaces	11
Heat diffusion in a channel under white noise modeling of turbulence	11
Effective governing equations for heterogenous porous media subject to inhomogeneous body forces	11
Asymptotic analysis of compression sensing in ionic polymer metal composites: The role of interphase regions with variable properties	11
Neural networks for classification of strokes in electrical impedance tomography on a 3D head model	11
A machine learning approach to enhance the SUPG stabilization method for advection-dominated differential problems	10
A mean field game price model with noise	9
Stability of the standing waves of the concentrated NLSE in dimension two	9
Interpolating estimates with applications to some quantitative symmetry results	9
Oldroyd 6-constant Electro-magneto-hydrodynamic fluid flow through parallel micro-plates with heat transfer using Darcy-Brinkman-Forchheimer model: A parametric investigation	9
Optimal gradient estimates for multi-phase integrals	9
On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation	8
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics	8
On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces	7
Understanding the FPU state in FPU–like models	7
Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian	6
From point particles to body points	6

Bounds on eigenvalues of perturbed Lamé operators with complex potentials	6
Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations	5
Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime	5
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling	5
Long-time stability of the quantum hydrodynamic system on irrational tori	5
Singular Kähler-Einstein metrics on $ \mathbb Q $-Fano compactifications of Lie groups	5
On fractional Schrödinger equations with Hartree type nonlinearities	5
On the local theory of prescribed Jacobian equations revisited	5
Normal form for lower dimensional elliptic tori in Hamiltonian systems	5
Modeling the propagation of riots, collective behaviors and epidemics	5
Anisotropic elliptic equations with gradient-dependent lower order terms and $ L^1 $ data	5
On the boundary Harnack principle in Hölder domains	5
The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3 $	4
Two overdetermined problems for anisotropic $ p $-Laplacian	4
A note on quasilinear equations with fractional diffusion	4
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces	4
On the uniqueness of mild solutions for the parabolic-elliptic Keller-Segel system in the critical $ L^{p} $-space	4
Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient	4
A multi-scale method for complex flows of non-Newtonian fluids	4
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem	4
Recent rigidity results for graphs with prescribed mean curvature	4
Uniform density estimates and $ \Gamma $-convergence for the Alt-Phillips functional of negative powers	4
A $C^\infty$ Nekhoroshev theorem	4
On real resonances for three-dimensional Schrödinger operators with point interactions	4
The moon lander optimal control problem revisited	4
On the anisotropic Kirchhoff-Plateau problem	4
Sharp Strichartz estimates for some variable coefficient Schrödinger operators on $ \mathbb{R}\times\mathbb{T}^2 $	4
Weak maximum principle for Dirichlet problems with convection or drift terms	4
Interior curvature bounds for a type of mixed Hessian quotient equations	3
On the fractional Kelvin-Voigt oscillator	3
Multiphase modelling of glioma pseudopalisading under acidosis	3
A geometric capacitary inequality for sub-static manifolds with harmonic potentials	3
Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities	3
Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group	3
Polar tangential angles and free elasticae	3
Space-time statistics of a linear dynamical energy cascade model	3
A diagrammatic view of differential equations in physics	3
Fractional Laplacians on ellipsoids	3
Half-harmonic gradient flow: aspects of a non-local geometric PDE	3
The total variation flow in metric graphs	3
The role of boundary conditions in scaling laws for turbulent heat transport	3
Multiscale regression on unknown manifolds	3
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots	3
Linear stability analysis of overdetermined problems with non-constant data	3
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
Improvements on overdetermined problems associated to the $ p $-Laplacian	2
Unique continuation from the edge of a crack	2
The infinity-Laplacian in smooth convex domains and in a square	2
Multiscale simulation of a polymer melt flow between two coaxial cylinders under nonisothermal conditions	2

Some comparison results and a partial bang-bang property for two-phases problems in balls	2
Instabilities in internal gravity waves	2
Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based reduced order models	2
Gradient Lagrangian systems and semilinear PDE	2
Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains	2
A weighted gradient estimate for solutions of $ L^p $ Christoffel-Minkowski problem	2
Singular elliptic equations with directional diffusion	2
Poincaré inequalities and Neumann problems for the variable exponent setting	2
Stable anisotropic capillary hypersurfaces in a wedge	2
The principal transmission condition	2
Foundations of physics in Milan, Padua and Paris. Newtonian trajectories from celestial mechanics to atomic physics	2
Low dimensional completely resonant tori in Hamiltonian Lattices and a Theorem of Poincaré	2
$ L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals	2
Spectral enclosures for the damped elastic wave equation	2
Singular structures in solutions to the Monge-Ampère equation with point masses	2
Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow	2
On nonlinear Schrödinger equations with random initial data	2
Finite element algorithms for nonlocal minimal graphs	2
Convex duality for principal frequencies	2
Linearization and computation for large-strain visco-elasticity	2
Large deviations for a binary collision model: energy evaporation	2
On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions	2
On some non-local approximation of nonisotropic Griffith-type functionals	2
A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation	2
A nonlinear diffusion equation with reaction localized in the half-line	2
On the influence of gravity in the dynamics of geophysical flows	2
A minimizing-movements approach to GENERIC systems	1
Comparison principles and applications to mathematical modelling of vegetal meta-communities	1
Some evaluations of the fractional $ p $-Laplace operator on radial functions	1
Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle	1
SUPG-stabilized stabilization-free VEM: a numerical investigation	1
A mixed operator approach to peridynamics	1
On the low Mach number limit for 2D Navier–Stokes–Korteweg systems	1
Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori	1
Variational modeling of paperboard delamination under bending	1
The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom	1
Lewy-Stampacchia inequality for noncoercive parabolic obstacle problems	1
A volume constraint problem for the nonlocal doubly nonlinear parabolic equation	1
A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller–Segel systems	1
Universal potential estimates for $ 1 < p\leq 2-\frac{1}{n} $	1
Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group	1
Sub-exponential mixing of generalized cellular flows with bounded palenstrophy	1
Bloch estimates in non-doubling generalized Orlicz spaces	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 Harnack inequality for non-divergence parabolic equations	1
The fractional Malmheden theorem	1
Symmetry of hypersurfaces and the Hopf Lemma	1
Bitensorial formulation of the singularity method for Stokes flows	1
Equivalence of solutions for non-homogeneous $ p(x) $-Laplace equations	1
Numerical spectral analysis of standing waves in quantum hydrodynamics with viscosity	1
Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity	1
A quantitative stability inequality for fractional capacities	1
Mixed-integer quadratic programming reformulations of multi-task learning models	1
Polyconvex functionals and maximum principle	1
A matrix Harnack inequality for semilinear heat equations	1
Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling	1
Lipschitz continuity of minimizers in a problem with nonstandard growth	1
A note on the Kuramoto-Sivashinsky equation with discontinuity	1
The ergodic limit for weak solutions of elliptic equations with Neumann boundary condition	1
Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space	1
Weak solutions of generated Jacobian equations	1
Existence of nonradial positive and nodal solutions to a critical Neumann problem in a cone	1
On the logarithmic epiperimetric inequality for the obstacle problem	1
Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations	1
A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model	1
Optimal control of a chemotaxis equation arising in angiogenesis	1
Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations	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
Symmetry break in the eight bubble compaction	1
The fourth-order total variation flow in $ \mathbb{R}^n $	1
Isoparametric foliations and the Pompeiu property	1
Nonlocal diffusion of smooth sets	1
Regularizing effect in some Mingione’s double phase problems with very singular data	1
Convergence for global curve diffusion flows	1
Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number	1
Kolmogorov algorithm for isochronous Hamiltonian systems	1
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches	1
On the numerical discretization of a tumor progression model driven by competing migration mechanisms	1