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 2021-08-01 to 2025-08-01.)

Article	Citations
	30
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	6
	6
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	6
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	6
Remarks on the linear wave equation	6
Preface for the first special issue in honor of Bob Pego	5
Self-similar solutions of the relativistic Euler system with spherical symmetry	5
Non-uniqueness in plane fluid flows	5
	5
Hilbert expansion for Coulomb collisional kinetic models	5
Smooth self-similar imploding profiles to 3D compressible Euler	4
Time-periodic linear boundary value problems on a finite interval	4
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	4
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
	3
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	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
Preface for the second special issue in honor of C. M. Dafermos	2
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	2
	2
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	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
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	2
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	2
Linear stability of liquid Lane-Emden stars	2
On a nonlinear diffussive model for the evolution of cells within a moving domain	2
Examples and conjectures on the regularity of solutions to balance laws	2
The mathematics of thin structures	2
An ????^{????} shock admissibility condition for conservation laws	2
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	2
Free surface flows induced by re-entrant jet with surface tension effect in a channel	2
Preface for the special issue in honor of C. M. Dafermos	1
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	1
	1
On a quaternary nonlocal isoperimetric problem	1
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	1
Star dynamics: Collapse vs. expansion	1
Symmetry group of the equiangular cubed sphere	1
On a singular Lifshitz-Slyozov-Wagner model	1
Differential equations of quantum mechanics	1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	1
Mechanical mechanism for self-replication	1
Error estimates for pressure-driven Hele-Shaw flow	1
Non-linear singularity formation for circular vortex sheets	1
Inviscid water-waves and interface modeling	1
Variational principles for nonlinear PDE systems via duality	1
Minimal entropy conditions for scalar conservation laws with general convex fluxes	1
Stationary solutions to the Boltzmann equation in the plane	1
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential	1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces	1
Signals as submanifolds and configurations of points	1
Traveling water waves — the ebb and flow of two centuries	1
Stationary soap film bridge formed by a small electrostatic force	1
Discretizing advection equations with rough velocity fields on non-Cartesian grids	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	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
Partial dissipation and sub-shock	1
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
Nonlinear oscillators at resonance with periodic forcing	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
	0
On the stability of the compacton waves for the degenerate KdV and NLS models	0
On the fluxes induced by interacting fields in multiple scattering	0
	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0

Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
	0
Beckmann-type problem for degenerate Hamilton-Jacobi equations	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
Global existence for a nonlocal multi-species aggregation-diffusion equation	0
	0
Diffraction by a Dirichlet right angle on a discrete planar lattice	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
On the completely positive kernels for nonuniform meshes	0
A note on the dissipation for the general Muskat problem	0
Regime-dependent infection propagation fronts in an SIS model	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
	0
	0
Continua of steadily rotating stars	0
On the contributions of Wendell Fleming	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Complete solvability of the inertial spin model with an averaged spin	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
About a cavitation model including bubbles in thin film lubrication taking convection into account	0
Steady Prandtl layer expansions with external forcing	0
	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
Kaczmarz Kac walk	0
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	0
Stability of standing waves for a generalized Benney-Roskes system	0
Upper and lower bounds for stress concentration in linear elasticity when ????^{1,????} inclusions are close to boundary	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
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	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
Asymptotic behavior of an integral equation of Allen-Cahn type	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
On Green’s function for Laplace’s equation in a rigid tube	0
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	0
A Kaczmarz-inspired method for orthogonalization	0
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	0
HV geometry for signal comparison	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
Exponential asymptotics for translational modes in the discrete nonlinear Schrödinger model	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
	0
Preface for the second special issue in honor of Bob Pego	0
	0
Inviscid Burgers as a degenerate elliptic problem	0
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	0
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	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
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
Damped and driven breathers and metastability	0