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 2021-05-01 to 2025-05-01.)

Article	Citations
	27
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	6
	6
Non-uniqueness in plane fluid flows	5
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	5
Preface for the first special issue in honor of Bob Pego	5
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	5
Self-similar solutions of the relativistic Euler system with spherical symmetry	5
	5
Remarks on the linear wave equation	5
Smooth self-similar imploding profiles to 3D compressible Euler	4
Time-periodic linear boundary value problems on a finite interval	4
Hilbert expansion for Coulomb collisional kinetic models	4
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	4
Hydrodynamic alignment with pressure II. Multi-species	3
	3
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	3
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	3
Long time gyrokinetic equations	3
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	3
On the analyticity of the flow map for the AHT equations	2
On a nonlinear diffussive model for the evolution of cells within a moving domain	2
	2
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	2
Two-point correlation function and its applications to the Schrödinger-Lohe type models	2

Linear stability of liquid Lane-Emden stars	2
On generalized compressible fluid systems on an evolving surface with a boundary	2
Examples and conjectures on the regularity of solutions to balance laws	2
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	2
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
An ????^{????} shock admissibility condition for conservation laws	2
Free surface flows induced by re-entrant jet with surface tension effect in a channel	2
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	2
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
Variational principles for nonlinear PDE systems via duality	1
Traveling water waves — the ebb and flow of two centuries	1
Preface for the special issue in honor of C. M. Dafermos	1
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions	1
On a singular Lifshitz-Slyozov-Wagner model	1
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	1
Symmetry group of the equiangular cubed sphere	1
The conjugate gradient algorithm on a general class of spiked covariance matrices	1
Minimal entropy conditions for scalar conservation laws with general convex fluxes	1
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential	1
	1
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	1
Preface for the second special issue in honor of C. M. Dafermos	1
Error estimates for pressure-driven Hele-Shaw flow	1
A model of invariant control system using mean curvature drift from Brownian motion under submersions	1
	1
On a quaternary nonlocal isoperimetric problem	1
Differential equations of quantum mechanics	1
Partial dissipation and sub-shock	1
The mathematics of thin structures	1
Stationary solutions to the Boltzmann equation in the plane	1
Mechanical mechanism for self-replication	1