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 2022-06-01 to 2026-06-01.)

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

Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
	2
The mathematics of thin structures	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
Examples and conjectures on the regularity of solutions to balance laws	2
On a singular Lifshitz-Slyozov-Wagner model	1
	1
Signals as submanifolds and configurations of points	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
On a quaternary nonlocal isoperimetric problem	1
	1
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	1
Partial dissipation and sub-shock	1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	1
	1
Variational principles for nonlinear PDE systems via duality	1
Pulled fronts are not (just) pulled	1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	1
Preface for the special issue in honor of C. M. Dafermos	1
Stationary solutions to the Boltzmann equation in the plane	1
Mechanical mechanism for self-replication	1
A coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
Large deviation asymptotics for the supermarket model with growing choices	1
	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
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	0
Regime-dependent infection propagation fronts in an SIS model	0
Emergence of multi-cluster flocking in the relativistic Cucker-Smale model	0
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	0
	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
A note on the dissipation for the general Muskat problem	0
The role of subsurface water dynamics in vegetative pattern formation in a level arid region	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Steady Prandtl layer expansions with external forcing	0
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	0
	0
Inviscid water-waves and interface modeling	0
	0
Persistence of solutions to the derivative nonlinear Schrödinger equation in weighted Sobolev spaces	0
Exponential asymptotics for translational modes in the discrete nonlinear Schrödinger model	0
A two-scale model describing swelling in porous materials with elongated internal structures	0

Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
Preface for the special issue in honor of Björn Sanstede	0
Probabilistic analysis of scalogram ridges in signal processing	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0
Spectrum analysis on linear parabolic partial differential equations driven by a multidimensional bounded stochastic process	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
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
Explicit calculation of singular integrals of tensorial polyadic kernels	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
Delays and advances in the onset of instability in the Shishkova equation	0
On the contributions of Wendell Fleming	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
Kaczmarz Kac walk	0
Continua of steadily rotating stars	0
	0
A model of invariant control system using mean curvature drift from Brownian motion under submersions	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
Star dynamics: Collapse vs. expansion	0
Inviscid Burgers as a degenerate elliptic problem	0
Stationary soap film bridge formed by a small electrostatic force	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
On the completely positive kernels for nonuniform meshes	0
	0
On the fluxes induced by interacting fields in multiple scattering	0
Damped and driven breathers and metastability	0
Global existence for a nonlocal multi-species aggregation-diffusion equation	0
Nonlinear oscillators at resonance with periodic forcing	0
Global stability of almost periodic solutions in population dynamics	0
A note on nonhydrodynamic solutions of kinetic systems	0
Rigorous justification of low-magnetic-Reynolds-number approximation for MHD duct flows	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
Stability of standing waves for a generalized Benney-Roskes system	0
Growth of cancer stem cell driven tumors: Staged invasion, linear determinacy, and the tumor invasion paradox	0
Potential flow round a sharp bend: A comparison between conformal mapping and mode matching	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
Preface for the second special issue in honor of Bob Pego	0
On the discrete Poincaré inequality for B-schemes of 1D Fokker-Planck equations in full space	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	0
	0
On the multicomponent reactive flows in moving domains	0
On almost periodic solutions of chemotaxis-fluid systems	0
A Kaczmarz-inspired method for orthogonalization	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
	0
Concentration inequalities and UQ bounds for hypocoercive MCMC samplers	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0