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 2021-04-01 to 2025-04-01.)

Article	Citations
	27
Free surface flows induced by re-entrant jet with surface tension effect in a channel	5
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	5
Error estimates for pressure-driven Hele-Shaw flow	5
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	5
On generalized compressible fluid systems on an evolving surface with a boundary	4
Emergent behaviors in group ring flocks	4
On the stability of the compacton waves for the degenerate KdV and NLS models	4
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	4
Using Bernoulli maps to accelerate mixing of a random walk on the torus	4
Continua of steadily rotating stars	4
	3
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	3
	3
Remarks on the linear wave equation	3
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	3
On a quaternary nonlocal isoperimetric problem	3
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	3
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	2
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
Minimal entropy conditions for scalar conservation laws with general convex fluxes	2
The conjugate gradient algorithm on a general class of spiked covariance matrices	2
Traveling water waves — the ebb and flow of two centuries	2
HV geometry for signal comparison	2

The Cauchy problem for a modified Euler-Poisson system in one dimension	2
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	2
	2
Variational principles for nonlinear PDE systems via duality	1
Hilbert expansion for Coulomb collisional kinetic models	1
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	1
Examples and conjectures on the regularity of solutions to balance laws	1
A two-scale model describing swelling in porous materials with elongated internal structures	1
	1
Models of bacteria swimming in a nematic liquid crystal	1
Time-periodic linear boundary value problems on a finite interval	1
Reversal permanent charge and concentrations in ionic flows via Poisson-Nernst-Planck models	1
Non-uniqueness in plane fluid flows	1
Transverse instability of high frequency weakly stable quasilinear boundary value problems	1
Localization in optical systems with an intensity-dependent dispersion	1
Symmetry group of the equiangular cubed sphere	1
	1
Preface for the first special issue in honor of Bob Pego	1
Complete solvability of the inertial spin model with an averaged spin	1
	1
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	1
Self-similar solutions of the relativistic Euler system with spherical symmetry	1
Smooth self-similar imploding profiles to 3D compressible Euler	1
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	1
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	1
On Green’s function for Laplace’s equation in a rigid tube	1
On the completely positive kernels for nonuniform meshes	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
The mathematics of thin structures	1
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	1
Partial dissipation and sub-shock	1
Preface for the second special issue in honor of Bob Pego	0
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
	0
Stationary soap film bridge formed by a small electrostatic force	0
Inviscid water-waves and interface modeling	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential	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
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	0
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	0
Non-linear singularity formation for circular vortex sheets	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
Stability of standing waves for a generalized Benney-Roskes system	0

Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow	0
Upper and lower bounds for stress concentration in linear elasticity when ????^{1,????} inclusions are close to boundary	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
Iterated linear optimization	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
Discretizing advection equations with rough velocity fields on non-Cartesian grids	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
On a singular Lifshitz-Slyozov-Wagner model	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
Inviscid Burgers as a degenerate elliptic problem	0
Linear stability of liquid Lane-Emden stars	0
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	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 note on the dissipation for the general Muskat problem	0
Long time gyrokinetic equations	0
Two-point correlation function and its applications to the Schrödinger-Lohe type models	0
	0
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions	0
On the fluxes induced by interacting fields in multiple scattering	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
Stationary solutions to the Boltzmann equation in the plane	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Beckmann-type problem for degenerate Hamilton-Jacobi equations	0
Nonlinear oscillators at resonance with periodic forcing	0
Kaczmarz Kac walk	0
Star dynamics: Collapse vs. expansion	0
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	0
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	0
	0
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	0
Global stability of almost periodic solutions in population dynamics	0
Steady Prandtl layer expansions with external forcing	0
About a cavitation model including bubbles in thin film lubrication taking convection into account	0
	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	0
Hydrodynamic alignment with pressure II. Multi-species	0
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	0
Preface for the special issue in honor of C. M. Dafermos	0
A macro-micro elasticity-diffusion system modeling absorption-induced swelling in rubber foams: Proof of the strong solvability	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
Diffraction by a Dirichlet right angle on a discrete planar lattice	0
	0
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	0
	0
Mechanical mechanism for self-replication	0
	0
An ????^{????} shock admissibility condition for conservation laws	0
	0
	0
Differential equations of quantum mechanics	0
A model of invariant control system using mean curvature drift from Brownian motion under submersions	0
On a nonlinear diffussive model for the evolution of cells within a moving domain	0
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	0