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 2021-11-01 to 2025-11-01.)

Article	Citations
	32
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
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	7
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	7
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
	6
Time-periodic linear boundary value problems on a finite interval	5
Self-similar solutions of the relativistic Euler system with spherical symmetry	4
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	4
Non-uniqueness in plane fluid flows	4
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	4
Smooth self-similar imploding profiles to 3D compressible Euler	4
Radially weighted Backus- and Childress-type bounds for spherical dynamos	4
	3
Hydrodynamic alignment with pressure II. Multi-species	3
An ????^{????} shock admissibility condition for conservation laws	3
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	3
Two-point correlation function and its applications to the Schrödinger-Lohe type models	3
On the analyticity of the flow map for the AHT equations	3
Long time gyrokinetic equations	3
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	3

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
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	2
The mathematics of thin structures	2
Partial dissipation and sub-shock	2
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	2
Linear stability of liquid Lane-Emden stars	2
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	2
Preface for the second special issue in honor of C. M. Dafermos	2
Examples and conjectures on the regularity of solutions to balance laws	2
Approximate slow manifolds in the Fokker-Planck equation	2
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
	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
On a singular Lifshitz-Slyozov-Wagner model	2
Mechanical mechanism for self-replication	1
Variational principles for nonlinear PDE systems via duality	1
Non-linear singularity formation for circular vortex sheets	1
Star dynamics: Collapse vs. expansion	1
Discretizing advection equations with rough velocity fields on non-Cartesian grids	1
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	1
On a quaternary nonlocal isoperimetric problem	1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	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
Symmetry group of the equiangular cubed sphere	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
Stationary soap film bridge formed by a small electrostatic force	1
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	1
	1
Error estimates for pressure-driven Hele-Shaw flow	1
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	1
Differential equations of quantum mechanics	1
Minimal entropy conditions for scalar conservation laws with general convex fluxes	1
Traveling water waves — the ebb and flow of two centuries	1
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	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 conjugate gradient algorithm on a general class of spiked covariance matrices	1
Signals as submanifolds and configurations of points	1
Preface for the special issue in honor of C. M. Dafermos	1
	1
A Kaczmarz-inspired method for orthogonalization	0
Beckmann-type problem for degenerate Hamilton-Jacobi equations	0
On the stability of the compacton waves for the degenerate KdV and NLS models	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
On the contributions of Wendell Fleming	0
Upper and lower bounds for stress concentration in linear elasticity when ????^{1,????} inclusions are close to boundary	0

	0
A two-scale model describing swelling in porous materials with elongated internal structures	0
	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
Damped and driven breathers and metastability	0
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
Global stability of almost periodic solutions in population dynamics	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
Growth of cancer stem cell driven tumors: Staged invasion, linear determinacy, and the tumor invasion paradox	0
Exponential asymptotics for translational modes in the discrete nonlinear Schrödinger model	0
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	0
	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Regime-dependent infection propagation fronts in an SIS model	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
Nonlinear oscillators at resonance with periodic forcing	0
	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0
	0
	0
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	0
Preface for the second special issue in honor of Bob Pego	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
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	0
Potential flow round a sharp bend: A comparison between conformal mapping and mode matching	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Stability of standing waves for a generalized Benney-Roskes system	0
A note on the dissipation for the general Muskat problem	0
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
Continua of steadily rotating stars	0
On almost periodic solutions of chemotaxis-fluid systems	0
Inviscid Burgers as a degenerate elliptic problem	0
	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
On Green’s function for Laplace’s equation in a rigid tube	0
About a cavitation model including bubbles in thin film lubrication taking convection into account	0
The role of subsurface water dynamics in vegetative pattern formation in a level arid region	0
	0
On the multicomponent reactive flows in moving domains	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	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 existence for a nonlocal multi-species aggregation-diffusion equation	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
Kaczmarz Kac walk	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0
Delays and advances in the onset of instability in the Shishkova equation	0
Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	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
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
A note on nonhydrodynamic solutions of kinetic systems	0
	0
HV geometry for signal comparison	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
Steady Prandtl layer expansions with external forcing	0
On the fluxes induced by interacting fields in multiple scattering	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0