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 2021-03-01 to 2025-03-01.)

Article	Citations
	22
Error estimates for pressure-driven Hele-Shaw flow	6
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	5
Free surface flows induced by re-entrant jet with surface tension effect in a channel	5
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	5
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	5
An approximate approach to the structured distance to normality of Toeplitz operators	4
On the stability of the compacton waves for the degenerate KdV and NLS models	4
Emergent behaviors in group ring flocks	4
Using Bernoulli maps to accelerate mixing of a random walk on the torus	4
Continua of steadily rotating stars	4
On generalized compressible fluid systems on an evolving surface with a boundary	4
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	3
	3
Remarks on the linear wave equation	3
Conservation laws in biology: Two new applications	3
On a quaternary nonlocal isoperimetric problem	3
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	3
	3
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	2
Preface for the second special issue in honor of C. M. Dafermos	2
The conjugate gradient algorithm on a general class of spiked covariance matrices	2
The Cauchy problem for a modified Euler-Poisson system in one dimension	2
HV geometry for signal comparison	2
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	2

Traveling water waves — the ebb and flow of two centuries	2
Minimal entropy conditions for scalar conservation laws with general convex fluxes	2
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	2
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	2
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	1
The mathematics of thin structures	1
Time-periodic linear boundary value problems on a finite interval	1
	1
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	1
Smooth self-similar imploding profiles to 3D compressible Euler	1
	1
Variational principles for nonlinear PDE systems via duality	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
	1
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	1
Localization in optical systems with an intensity-dependent dispersion	1
Preface for the first special issue in honor of Bob Pego	1
Symmetry group of the equiangular cubed sphere	1
Reversal permanent charge and concentrations in ionic flows via Poisson-Nernst-Planck models	1
A two-scale model describing swelling in porous materials with elongated internal structures	1
Partial dissipation and sub-shock	1
Hilbert expansion for Coulomb collisional kinetic models	1
Non-uniqueness in plane fluid flows	1
Transverse instability of high frequency weakly stable quasilinear boundary value problems	1
On Green’s function for Laplace’s equation in a rigid tube	1
	1
Examples and conjectures on the regularity of solutions to balance laws	1
Surrounding the solution of a linear system of equations from all sides	1
Self-similar solutions of the relativistic Euler system with spherical symmetry	1
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	1
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	1
On the completely positive kernels for nonuniform meshes	1
Complete solvability of the inertial spin model with an averaged spin	1
On a nonlinear diffussive model for the evolution of cells within a moving domain	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
Stability of standing waves for a generalized Benney-Roskes system	0
	0
Diffraction by a Dirichlet right angle on a discrete planar lattice	0
Discretizing advection equations with rough velocity fields on non-Cartesian grids	0
On a singular Lifshitz-Slyozov-Wagner model	0
Beckmann-type problem for degenerate Hamilton-Jacobi equations	0
Linear stability of liquid Lane-Emden stars	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	0
Inviscid Burgers as a degenerate elliptic problem	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
A macro-micro elasticity-diffusion system modeling absorption-induced swelling in rubber foams: Proof of the strong solvability	0
Two-point correlation function and its applications to the Schrödinger-Lohe type models	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0

Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	0
	0
Preface for the second special issue in honor of Bob Pego	0
	0
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	0
Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
Nonlinear oscillators at resonance with periodic forcing	0
Non-linear singularity formation for circular vortex sheets	0
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
Differential equations of quantum mechanics	0
Preface for the special issue in honor of C. M. Dafermos	0
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
Models of bacteria swimming in a nematic liquid crystal	0
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	0
A note on the dissipation for the general Muskat problem	0
Steady Prandtl layer expansions with external forcing	0
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
Hydrodynamic alignment with pressure II. Multi-species	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential	0
Inviscid water-waves and interface modeling	0
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	0
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	0
Damped and driven breathers and metastability	0
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Star dynamics: Collapse vs. expansion	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	0
About a cavitation model including bubbles in thin film lubrication taking convection into account	0
Stationary soap film bridge formed by a small electrostatic force	0
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
Upper and lower bounds for stress concentration in linear elasticity when ????^{1,????} inclusions are close to boundary	0
Mechanical mechanism for self-replication	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
	0
	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
A model of invariant control system using mean curvature drift from Brownian motion under submersions	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
Iterated linear optimization	0
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	0
	0
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	0
	0
Long time gyrokinetic equations	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
Global stability of almost periodic solutions in population dynamics	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Stationary solutions to the Boltzmann equation in the plane	0
	0
An ????^{????} shock admissibility condition for conservation laws	0
	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0
On the fluxes induced by interacting fields in multiple scattering	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
Kaczmarz Kac walk	0
	0