OOIR: Observatory of International Research

Papers

(The TQCC of Mathematics in Engineering is 3. 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
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
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
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
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
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
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
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
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
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