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 2022-08-01 to 2026-08-01.)

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

Linear stability of liquid Lane-Emden stars	2
Approximate slow manifolds in the Fokker-Planck equation	2
The mathematics of thin structures	2
On generalized compressible fluid systems on an evolving surface with a boundary	2
Partial dissipation and sub-shock	2
Examples and conjectures on the regularity of solutions to balance laws	2
Free surface flows induced by re-entrant jet with surface tension effect in a channel	2
	2
Signals as submanifolds and configurations of points	1
Asymptotic solution to linearized Euler system for homentropic fluids	1
On regularity and stability for nonlocal pseudo-parabolic equations involving time-varying delays	1
	1
	1
A coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging	1
Stationary soap film bridge formed by a small electrostatic force	1
	1
Variational principles for nonlinear PDE systems via duality	1
On a quaternary nonlocal isoperimetric problem	1
Mechanical mechanism for self-replication	1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	1
Stationary solutions to the Boltzmann equation in the plane	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
Persistence of solutions to the derivative nonlinear Schrödinger equation in weighted Sobolev spaces	1
Discretizing advection equations with rough velocity fields on non-Cartesian grids	1
Pulled fronts are not (just) pulled	1
A model of invariant control system using mean curvature drift from Brownian motion under submersions	1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	1
	1
On a singular Lifshitz-Slyozov-Wagner model	1
Preface for the special issue in honor of C. M. Dafermos	1
Minimal entropy conditions for scalar conservation laws with general convex fluxes	1
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	1
Star dynamics: Collapse vs. expansion	1
Large deviation asymptotics for the supermarket model with growing choices	1
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
Emergence of multi-cluster flocking in the relativistic Cucker-Smale model	0
	0
Non-linear singularity formation for circular vortex sheets	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
On the multicomponent reactive flows in moving domains	0
Rigorous justification of low-magnetic-Reynolds-number approximation for MHD duct flows	0
	0
On the fluxes induced by interacting fields in multiple scattering	0
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
A Kaczmarz-inspired method for orthogonalization	0
Global existence for a nonlocal multi-species aggregation-diffusion equation	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	0

Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Global stability of almost periodic solutions in population dynamics	0
On the contributions of Wendell Fleming	0
	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Exponential asymptotics for translational modes in the discrete nonlinear Schrödinger model	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
A note on the dissipation for the general Muskat problem	0
Continua of steadily rotating stars	0
Inviscid Burgers as a degenerate elliptic problem	0
	0
Inviscid water-waves and interface modeling	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
Nonlinear oscillators at resonance with periodic forcing	0
Probabilistic analysis of scalogram ridges in signal processing	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
Spectrum analysis on linear parabolic partial differential equations driven by a multidimensional bounded stochastic process	0
Stability of standing waves for a generalized Benney-Roskes system	0
A two-scale model describing swelling in porous materials with elongated internal structures	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Steady Prandtl layer expansions with external forcing	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0
Preface for the second special issue in honor of Bob Pego	0
Delays and advances in the onset of instability in the Shishkova equation	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0
A note on nonhydrodynamic solutions of kinetic systems	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
Kaczmarz Kac walk	0
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	0
On the discrete Poincaré inequality for B-schemes of 1D Fokker-Planck equations in full space	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
Regime-dependent infection propagation fronts in an SIS model	0
Preface for the special issue in honor of Björn Sanstede	0
From continuous to discrete: A No-U-Turn Sampler for permutations	0
On the completely positive kernels for nonuniform meshes	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
The role of subsurface water dynamics in vegetative pattern formation in a level arid region	0
Damped and driven breathers and metastability	0
HV geometry for signal comparison	0
	0
	0
Growth of cancer stem cell driven tumors: Staged invasion, linear determinacy, and the tumor invasion paradox	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
Concentration inequalities and UQ bounds for hypocoercive MCMC samplers	0
On almost periodic solutions of chemotaxis-fluid systems	0
	0
Potential flow round a sharp bend: A comparison between conformal mapping and mode matching	0
	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0