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 2021-09-01 to 2025-09-01.)

Article	Citations
	30
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	6
Remarks on the linear wave equation	6
	6
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	6
	6
Synchronization of the Lohe model on the hyperboloid under a directed graph	6
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	6
Preface for the first special issue in honor of Bob Pego	5
Time-periodic linear boundary value problems on a finite interval	5
Non-uniqueness in plane fluid flows	5
Hilbert expansion for Coulomb collisional kinetic models	4
Self-similar solutions of the relativistic Euler system with spherical symmetry	4
Smooth self-similar imploding profiles to 3D compressible Euler	4
Hydrodynamic alignment with pressure II. Multi-species	3
	3
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	3
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	3
Long time gyrokinetic equations	3
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	3
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	2
On the analyticity of the flow map for the AHT equations	2
Linear stability of liquid Lane-Emden stars	2
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	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	2
An ????^{????} shock admissibility condition for conservation laws	2
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
Free surface flows induced by re-entrant jet with surface tension effect in a channel	2
Preface for the second special issue in honor of C. M. Dafermos	2
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
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	2
	2
Discretizing advection equations with rough velocity fields on non-Cartesian grids	1
Variational principles for nonlinear PDE systems via duality	1
The conjugate gradient algorithm on a general class of spiked covariance matrices	1
Mechanical mechanism for self-replication	1
Stationary solutions to the Boltzmann equation in the plane	1
Partial dissipation and sub-shock	1
Differential equations of quantum mechanics	1
Symmetry group of the equiangular cubed sphere	1
Persistence of solutions to the derivative nonlinear Schrödinger equation in weighted Sobolev spaces	1
Inviscid water-waves and interface modeling	1
A model of invariant control system using mean curvature drift from Brownian motion under submersions	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	1
	1
The mathematics of thin structures	1
Traveling water waves — the ebb and flow of two centuries	1
Error estimates for pressure-driven Hele-Shaw flow	1
Star dynamics: Collapse vs. expansion	1
Stationary soap film bridge formed by a small electrostatic force	1
Minimal entropy conditions for scalar conservation laws with general convex fluxes	1
	1
On a quaternary nonlocal isoperimetric problem	1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	1
Preface for the special issue in honor of C. M. Dafermos	1
On a singular Lifshitz-Slyozov-Wagner model	1
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	1
Signals as submanifolds and configurations of points	1
Non-linear singularity formation for circular vortex sheets	1
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	1
On the multicomponent reactive flows in moving domains	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
Stability of standing waves for a generalized Benney-Roskes system	0
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
A two-scale model describing swelling in porous materials with elongated internal structures	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	0
Global stability of almost periodic solutions in population dynamics	0

Beckmann-type problem for degenerate Hamilton-Jacobi equations	0
	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
On Green’s function for Laplace’s equation in a rigid tube	0
HV geometry for signal comparison	0
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0
Exponential asymptotics for translational modes in the discrete nonlinear Schrödinger model	0
On the contributions of Wendell Fleming	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
Steady Prandtl layer expansions with external forcing	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
Inviscid Burgers as a degenerate elliptic problem	0
	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
On the completely positive kernels for nonuniform meshes	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
Diffraction by a Dirichlet right angle on a discrete planar lattice	0
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	0
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
	0
A Kaczmarz-inspired method for orthogonalization	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
	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
	0
On the fluxes induced by interacting fields in multiple scattering	0
On the stability of the compacton waves for the degenerate KdV and NLS models	0
Upper and lower bounds for stress concentration in linear elasticity when ????^{1,????} inclusions are close to boundary	0
Nonlinear oscillators at resonance with periodic forcing	0
Preface for the second special issue in honor of Bob Pego	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
	0
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	0
Kaczmarz Kac walk	0
	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
Global existence for a nonlocal multi-species aggregation-diffusion equation	0
	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
Regime-dependent infection propagation fronts in an SIS model	0
A note on the dissipation for the general Muskat problem	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
	0
Complete solvability of the inertial spin model with an averaged spin	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
Continua of steadily rotating stars	0
About a cavitation model including bubbles in thin film lubrication taking convection into account	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Damped and driven breathers and metastability	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0