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 2022-05-01 to 2026-05-01.)

Article	Citations
Synchronization of the Lohe model on the hyperboloid under a directed graph	11
	8
Remarks on the linear wave equation	8
Spacetime decay of mild solutions and conditional quantitative transfer of regularity of the incompressible Navier–Stokes Equations from ℝⁿ to bounded domains	8
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	7
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	7
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	6
Non-uniqueness in plane fluid flows	6
Self-similar solutions of the relativistic Euler system with spherical symmetry	5
Smooth self-similar imploding profiles to 3D compressible Euler	5
Preface for the first special issue in honor of Bob Pego	5
Hilbert expansion for Coulomb collisional kinetic models	5
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	4
Radially weighted Backus- and Childress-type bounds for spherical dynamos	4
	4
Hydrodynamic alignment with pressure II. Multi-species	3
Two-point correlation function and its applications to the Schrödinger-Lohe type models	3
	3
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	3
Analysis of a one-dimensional biofilm model	3
Long time gyrokinetic equations	3
On the analyticity of the flow map for the AHT equations	3
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	3
On a nonlinear diffussive model for the evolution of cells within a moving domain	2
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	2

Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
Preface for the second special issue in honor of C. M. Dafermos	2
On generalized compressible fluid systems on an evolving surface with a boundary	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
The mathematics of thin structures	2
Examples and conjectures on the regularity of solutions to balance laws	2
	2
Approximate slow manifolds in the Fokker-Planck equation	2
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	2
On a singular Lifshitz-Slyozov-Wagner model	2
Variational principles for nonlinear PDE systems via duality	1
Pulled fronts are not (just) pulled	1
On the discrete Poincaré inequality for B-schemes of 1D Fokker-Planck equations in full space	1
Asymptotic solution to linearized Euler system for homentropic fluids	1
	1
Stationary solutions to the Boltzmann equation in the plane	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
Large deviation asymptotics for the supermarket model with growing choices	1
	1
Inviscid water-waves and interface modeling	1
Partial dissipation and sub-shock	1
Preface for the special issue in honor of C. M. Dafermos	1
	1
Mechanical mechanism for self-replication	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
A model of invariant control system using mean curvature drift from Brownian motion under submersions	1
A coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging	1
On a quaternary nonlocal isoperimetric problem	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
Signals as submanifolds and configurations of points	1
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
On the contributions of Wendell Fleming	0
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	0
Potential flow round a sharp bend: A comparison between conformal mapping and mode matching	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
A note on nonhydrodynamic solutions of kinetic systems	0
	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
Continua of steadily rotating stars	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
Emergence of multi-cluster flocking in the relativistic Cucker-Smale model	0
	0
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	0
	0
On the multicomponent reactive flows in moving domains	0
Preface for the second special issue in honor of Bob Pego	0

Stability of standing waves for a generalized Benney-Roskes system	0
Global existence for a nonlocal multi-species aggregation-diffusion equation	0
A Kaczmarz-inspired method for orthogonalization	0
On the fluxes induced by interacting fields in multiple scattering	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
Damped and driven breathers and metastability	0
Nonlinear oscillators at resonance with periodic forcing	0
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	0
Probabilistic analysis of scalogram ridges in signal processing	0
Preface for the special issue in honor of Björn Sanstede	0
Growth of cancer stem cell driven tumors: Staged invasion, linear determinacy, and the tumor invasion paradox	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
The role of subsurface water dynamics in vegetative pattern formation in a level arid region	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0
On almost periodic solutions of chemotaxis-fluid systems	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Delays and advances in the onset of instability in the Shishkova equation	0
	0
Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
Persistence of solutions to the derivative nonlinear Schrödinger equation in weighted Sobolev spaces	0
Inviscid Burgers as a degenerate elliptic problem	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
Concentration inequalities and UQ bounds for hypocoercive MCMC samplers	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Spectrum analysis on linear parabolic partial differential equations driven by a multidimensional bounded stochastic process	0
	0
Regime-dependent infection propagation fronts in an SIS model	0
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
HV geometry for signal comparison	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Steady Prandtl layer expansions with external forcing	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
A note on the dissipation for the general Muskat problem	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
Exponential asymptotics for translational modes in the discrete nonlinear Schrödinger model	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
	0
	0
Star dynamics: Collapse vs. expansion	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0
Stationary soap film bridge formed by a small electrostatic force	0
Kaczmarz Kac walk	0
Non-linear singularity formation for circular vortex sheets	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
On the completely positive kernels for nonuniform meshes	0
Global stability of almost periodic solutions in population dynamics	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
A two-scale model describing swelling in porous materials with elongated internal structures	0