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

Article	Citations
	34
Remarks on the linear wave equation	9
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	8
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	7
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
	6
Hilbert expansion for Coulomb collisional kinetic models	6
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	6
Preface for the first special issue in honor of Bob Pego	6
Self-similar solutions of the relativistic Euler system with spherical symmetry	5
Smooth self-similar imploding profiles to 3D compressible Euler	4
Time-periodic linear boundary value problems on a finite interval	4
Non-uniqueness in plane fluid flows	4
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	3
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	3
On the analyticity of the flow map for the AHT equations	3
Radially weighted Backus- and Childress-type bounds for spherical dynamos	3
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	3
Long time gyrokinetic equations	3
	3
Hydrodynamic alignment with pressure II. Multi-species	3
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	2
On a nonlinear diffussive model for the evolution of cells within a moving domain	2
On generalized compressible fluid systems on an evolving surface with a boundary	2

Free surface flows induced by re-entrant jet with surface tension effect in a channel	2
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	2
Two-point correlation function and its applications to the Schrödinger-Lohe type models	2
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	2
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
Approximate slow manifolds in the Fokker-Planck equation	2
The mathematics of thin structures	2
	2
An ????^{????} shock admissibility condition for conservation laws	2
Linear stability of liquid Lane-Emden stars	2
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	2
Preface for the second special issue in honor of C. M. Dafermos	2
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	2
Partial dissipation and sub-shock	1
Differential equations of quantum mechanics	1
	1
Signals as submanifolds and configurations of points	1
A coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging	1
Star dynamics: Collapse vs. expansion	1
Discretizing advection equations with rough velocity fields on non-Cartesian grids	1
Variational principles for nonlinear PDE systems via duality	1
	1
Examples and conjectures on the regularity of solutions to balance laws	1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	1
Mechanical mechanism for self-replication	1
Error estimates for pressure-driven Hele-Shaw flow	1
Traveling water waves — the ebb and flow of two centuries	1
Inviscid water-waves and interface modeling	1
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
On a singular Lifshitz-Slyozov-Wagner model	1
	1
Preface for the special issue in honor of C. M. Dafermos	1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	1
Stationary solutions to the Boltzmann equation in the plane	1
On a quaternary nonlocal isoperimetric problem	1
Pulled fronts are not (just) pulled	1
A model of invariant control system using mean curvature drift from Brownian motion under submersions	1
Minimal entropy conditions for scalar conservation laws with general convex fluxes	1
Stability of standing waves for a generalized Benney-Roskes system	0
	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
Kaczmarz Kac walk	0
On the contributions of Wendell Fleming	0
Potential flow round a sharp bend: A comparison between conformal mapping and mode matching	0
On almost periodic solutions of chemotaxis-fluid systems	0
Continua of steadily rotating stars	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
Exponential asymptotics for translational modes in the discrete nonlinear Schrödinger model	0
Regime-dependent infection propagation fronts in an SIS model	0

HV geometry for signal comparison	0
On the fluxes induced by interacting fields in multiple scattering	0
Stationary soap film bridge formed by a small electrostatic force	0
Nonlinear oscillators at resonance with periodic forcing	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	0
	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	0
Global stability of almost periodic solutions in population dynamics	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
A two-scale model describing swelling in porous materials with elongated internal structures	0
Inviscid Burgers as a degenerate elliptic problem	0
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	0
Delays and advances in the onset of instability in the Shishkova equation	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0
A note on the dissipation for the general Muskat problem	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
On the stability of the compacton waves for the degenerate KdV and NLS models	0
	0
	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0
About a cavitation model including bubbles in thin film lubrication taking convection into account	0
Growth of cancer stem cell driven tumors: Staged invasion, linear determinacy, and the tumor invasion paradox	0
Persistence of solutions to the derivative nonlinear Schrödinger equation in weighted Sobolev spaces	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
The role of subsurface water dynamics in vegetative pattern formation in a level arid region	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
Concentration inequalities and UQ bounds for hypocoercive MCMC samplers	0
A Kaczmarz-inspired method for orthogonalization	0
	0
On the completely positive kernels for nonuniform meshes	0
Upper and lower bounds for stress concentration in linear elasticity when ????^{1,????} inclusions are close to boundary	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
Global existence for a nonlocal multi-species aggregation-diffusion equation	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
Steady Prandtl layer expansions with external forcing	0
Damped and driven breathers and metastability	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
A note on nonhydrodynamic solutions of kinetic systems	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
Diffraction by a Dirichlet right angle on a discrete planar lattice	0
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
	0
Non-linear singularity formation for circular vortex sheets	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
On the multicomponent reactive flows in moving domains	0
	0
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Preface for the second special issue in honor of Bob Pego	0
Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
	0
Emergence of multi-cluster flocking in the relativistic Cucker-Smale model	0