OOIR: Observatory of International Research

Papers

(The TQCC of Quarterly of Applied Mathematics 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 2022-06-01 to 2026-06-01.)

Article	Citations
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	8
Spacetime decay of mild solutions and conditional quantitative transfer of regularity of the incompressible Navier–Stokes Equations from ℝⁿ to bounded domains	8
Synchronization of the Lohe model on the hyperboloid under a directed graph	8
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	7
Remarks on the linear wave equation	7
Non-uniqueness in plane fluid flows	6
	6
Preface for the first special issue in honor of Bob Pego	6
Hilbert expansion for Coulomb collisional kinetic models	5
Radially weighted Backus- and Childress-type bounds for spherical dynamos	5
	5
Smooth self-similar imploding profiles to 3D compressible Euler	5
Self-similar solutions of the relativistic Euler system with spherical symmetry	5
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	4
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	4
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	3
Hydrodynamic alignment with pressure II. Multi-species	3
Long time gyrokinetic equations	3
On the analyticity of the flow map for the AHT equations	3
	3
Analysis of a one-dimensional biofilm model	3
On a nonlinear diffussive model for the evolution of cells within a moving domain	3
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
	2
The mathematics of thin structures	2

Linear stability of liquid Lane-Emden stars	2
Free surface flows induced by re-entrant jet with surface tension effect in a channel	2
Examples and conjectures on the regularity of solutions to balance laws	2
On generalized compressible fluid systems on an evolving surface with a boundary	2
Preface for the second special issue in honor of C. M. Dafermos	2
Approximate slow manifolds in the Fokker-Planck equation	2
Variational principles for nonlinear PDE systems via duality	1
Pulled fronts are not (just) pulled	1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	1
Preface for the special issue in honor of C. M. Dafermos	1
Stationary solutions to the Boltzmann equation in the plane	1
Mechanical mechanism for self-replication	1
A coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
Large deviation asymptotics for the supermarket model with growing choices	1
	1
Asymptotic solution to linearized Euler system for homentropic fluids	1
On regularity and stability for nonlocal pseudo-parabolic equations involving time-varying delays	1
On a singular Lifshitz-Slyozov-Wagner model	1
	1
Signals as submanifolds and configurations of points	1
Minimal entropy conditions for scalar conservation laws with general convex fluxes	1
Discretizing advection equations with rough velocity fields on non-Cartesian grids	1
On a quaternary nonlocal isoperimetric problem	1
	1
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	1
Partial dissipation and sub-shock	1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	1
	1