OOIR: Observatory of International Research

Papers

(The median citation count of Quarterly of Applied Mathematics is 0. 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 2021-02-01 to 2025-02-01.)

Article	Citations
	22
Error estimates for pressure-driven Hele-Shaw flow	6
Emergent behaviors in group ring flocks	5
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	5
Continua of steadily rotating stars	5
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	5
On the stability of the compacton waves for the degenerate KdV and NLS models	4
Remarks on the linear wave equation	4
On generalized compressible fluid systems on an evolving surface with a boundary	4
Using Bernoulli maps to accelerate mixing of a random walk on the torus	4
An approximate approach to the structured distance to normality of Toeplitz operators	4
	4
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	3
	3
The conjugate gradient algorithm on a general class of spiked covariance matrices	3
Conservation laws in biology: Two new applications	3
On a quaternary nonlocal isoperimetric problem	3
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	3
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	3
Preface for the second special issue in honor of C. M. Dafermos	2
Minimal entropy conditions for scalar conservation laws with general convex fluxes	2
The Cauchy problem for a modified Euler-Poisson system in one dimension	2
Free surface flows induced by re-entrant jet with surface tension effect in a channel	2
HV geometry for signal comparison	2
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	2

Traveling water waves — the ebb and flow of two centuries	2
	2
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	2
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	2
Transverse instability of high frequency weakly stable quasilinear boundary value problems	1
On Green’s function for Laplace’s equation in a rigid tube	1
Time-periodic linear boundary value problems on a finite interval	1
	1
Reversal permanent charge and concentrations in ionic flows via Poisson-Nernst-Planck models	1
A two-scale model describing swelling in porous materials with elongated internal structures	1
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	1
On the completely positive kernels for nonuniform meshes	1
Complete solvability of the inertial spin model with an averaged spin	1
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	1
Localization in optical systems with an intensity-dependent dispersion	1
Preface for the first special issue in honor of Bob Pego	1
Surrounding the solution of a linear system of equations from all sides	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
	1
Variational principles for nonlinear PDE systems via duality	1
Self-similar solutions of the relativistic Euler system with spherical symmetry	1
	1
Hilbert expansion for Coulomb collisional kinetic models	1
The mathematics of thin structures	1
Symmetry group of the equiangular cubed sphere	1
Examples and conjectures on the regularity of solutions to balance laws	1
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	1
Smooth self-similar imploding profiles to 3D compressible Euler	1
A model of invariant control system using mean curvature drift from Brownian motion under submersions	1
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	1
Non-uniqueness in plane fluid flows	1
	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	0
Long time gyrokinetic equations	0
Steady Prandtl layer expansions with external forcing	0
	0
	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
Damped and driven breathers and metastability	0
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	0
	0
Stationary solutions to the Boltzmann equation in the plane	0
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	0
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	0
Upper and lower bounds for stress concentration in linear elasticity when ????^{1,????} inclusions are close to boundary	0
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential	0
Differential equations of quantum mechanics	0
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	0
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	0

Nonlinear oscillators at resonance with periodic forcing	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
On a singular Lifshitz-Slyozov-Wagner model	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	0
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	0
Discretizing advection equations with rough velocity fields on non-Cartesian grids	0
Preface for the second special issue in honor of Bob Pego	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
A macro-micro elasticity-diffusion system modeling absorption-induced swelling in rubber foams: Proof of the strong solvability	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
Stability of standing waves for a generalized Benney-Roskes system	0
Inviscid Burgers as a degenerate elliptic problem	0
Diffraction by a Dirichlet right angle on a discrete planar lattice	0
Star dynamics: Collapse vs. expansion	0
	0
Beckmann-type problem for degenerate Hamilton-Jacobi equations	0
Stationary soap film bridge formed by a small electrostatic force	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0
	0
	0
	0
Global stability of almost periodic solutions in population dynamics	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	0
An ????^{????} shock admissibility condition for conservation laws	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
	0
Linear stability of liquid Lane-Emden stars	0
Partial dissipation and sub-shock	0
Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws	0
Hydrodynamic alignment with pressure II. Multi-species	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
Inviscid water-waves and interface modeling	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
Preface for the special issue in honor of C. M. Dafermos	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
Iterated linear optimization	0
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	0
A note on the dissipation for the general Muskat problem	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
Non-linear singularity formation for circular vortex sheets	0
On a nonlinear diffussive model for the evolution of cells within a moving domain	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
Two-point correlation function and its applications to the Schrödinger-Lohe type models	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
Models of bacteria swimming in a nematic liquid crystal	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	0
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions	0
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	0
About a cavitation model including bubbles in thin film lubrication taking convection into account	0