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 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
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
Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws	5
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
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
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	3
Symmetry group of the equiangular cubed sphere	3
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
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
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
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
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
HV geometry for signal comparison	0
A Fourier-Legendre spectral method for approximating the minimizers of ?_{2,?}-energy	0
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	0
	0
An approximate approach to the structured distance to normality of Toeplitz operators	0
Upper and lower bounds for stress concentration in linear elasticity when ?^{1,?} inclusions are close to boundary	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
Damped and driven breathers and metastability	0
Emergent behaviors in group ring flocks	0
Iterated linear optimization	0
Stability of standing waves for a generalized Benney-Roskes system	0
	0
Singularities of the stress concentration in the presence of ?^{1,?}-inclusions with core-shell geometry	0
	0
Stationary solutions to the Boltzmann equation in the plane	0
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model	0
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	0
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	0
Models of bacteria swimming in a nematic liquid crystal	0

Hilbert expansion for Coulomb collisional kinetic models	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
On the completely positive kernels for nonuniform meshes	0
	0
Preface for the second special issue in honor of C. M. Dafermos	0
	0
	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0
Non-linear singularity formation for circular vortex sheets	0
Remarks on the linear wave equation	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
	0
	0
Error estimates for pressure-driven Hele-Shaw flow	0
Existence and regularity for global weak solutions to the ?-family water wave equations	0
Discretizing advection equations with rough velocity fields on non-Cartesian grids	0
	0
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	0
A model of invariant control system using mean curvature drift from Brownian motion under submersions	0
Non-uniqueness in plane fluid flows	0
	0
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
Preface for the first special issue in honor of Bob Pego	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
	0
Differential equations of quantum mechanics	0
Minimal entropy conditions for scalar conservation laws with general convex fluxes	0
On a nonlinear diffussive model for the evolution of cells within a moving domain	0
On the stability of the compacton waves for the degenerate KdV and NLS models	0
	0
Conservation laws in biology: Two new applications	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	0
	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
On a quaternary nonlocal isoperimetric problem	0
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	0
Preface for the special issue in honor of C. M. Dafermos	0
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
	0
On a singular Lifshitz-Slyozov-Wagner model	0
Partial dissipation and sub-shock	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
Self-similar solutions of the relativistic Euler system with spherical symmetry	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
Preface for the second special issue in honor of Bob Pego	0
	0
Global stability of almost periodic solutions in population dynamics	0