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

Article	Citations
Traveling water waves — the ebb and flow of two centuries	22
Surrounding the solution of a linear system of equations from all sides	6
Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws	5
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	5
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions	5
The Oberbeck–Boussinesq system with non-local boundary conditions	5
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	4
Localization in optical systems with an intensity-dependent dispersion	4
Diffraction by a Dirichlet right angle on a discrete planar lattice	4
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	4
Beckmann-type problem for degenerate Hamilton-Jacobi equations	4
Variational principles for nonlinear PDE systems via duality	4
Inviscid Burgers as a degenerate elliptic problem	3
Excitation of a layered sphere by ? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	3
The conjugate gradient algorithm on a general class of spiked covariance matrices	3
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	3
Time-periodic linear boundary value problems on a finite interval	3
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	3
Symmetry group of the equiangular cubed sphere	3
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential	2
Smooth self-similar imploding profiles to 3D compressible Euler	2
Examples and conjectures on the regularity of solutions to balance laws	2
Explicit calculation of singular integrals of tensorial polyadic kernels	2
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	2
The best constant for ?^{∞}-type Gagliardo-Nirenberg inequalities	2

On generalized compressible fluid systems on an evolving surface with a boundary	2
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
Steady Prandtl layer expansions with external forcing	2
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	2
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	1
Many-body excitations in trapped Bose gas: A non-Hermitian approach	1
Long time gyrokinetic equations	1
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	1
	1
The mathematics of thin structures	1
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	1
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	1
A note on the dissipation for the general Muskat problem	1
About a cavitation model including bubbles in thin film lubrication taking convection into account	1
Star dynamics: Collapse vs. expansion	1
Inviscid water-waves and interface modeling	1
Two-point correlation function and its applications to the Schrödinger-Lohe type models	1
Reversal permanent charge and concentrations in ionic flows via Poisson-Nernst-Planck models	1
On Green’s function for Laplace’s equation in a rigid tube	1
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	1
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	1
An ?^{?} shock admissibility condition for conservation laws	1
A macro-micro elasticity-diffusion system modeling absorption-induced swelling in rubber foams: Proof of the strong solvability	1
Hydrodynamic alignment with pressure II. Multi-species	1
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	1
Complete solvability of the inertial spin model with an averaged spin	1
The Cauchy problem for a modified Euler-Poisson system in one dimension	1
Continua of steadily rotating stars	1
Linear stability of liquid Lane-Emden stars	1