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 2021-06-01 to 2025-06-01.)

Article	Citations
	27
	9
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole	6
Remarks on the linear wave equation	6
Hilbert expansion for Coulomb collisional kinetic models	5
Preface for the first special issue in honor of Bob Pego	5
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	5
Self-similar solutions of the relativistic Euler system with spherical symmetry	5
	5
Non-uniqueness in plane fluid flows	5
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction	5
Time-periodic linear boundary value problems on a finite interval	4
Smooth self-similar imploding profiles to 3D compressible Euler	4
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes	4
On the analyticity of the flow map for the AHT equations	3
Long time gyrokinetic equations	3
Hydrodynamic alignment with pressure II. Multi-species	3
	3
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry	3
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	3
On generalized compressible fluid systems on an evolving surface with a boundary	2
Free surface flows induced by re-entrant jet with surface tension effect in a channel	2
The mathematics of thin structures	2
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	2
Linear stability of liquid Lane-Emden stars	2

Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	2
Examples and conjectures on the regularity of solutions to balance laws	2
Long time behavior of a rumor model with Ornstein-Uhlenbeck process	2
	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
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
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	2
Two-point correlation function and its applications to the Schrödinger-Lohe type models	2
On a nonlinear diffussive model for the evolution of cells within a moving domain	2
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
	1
Stationary solutions to the Boltzmann equation in the plane	1
The conjugate gradient algorithm on a general class of spiked covariance matrices	1
On a quaternary nonlocal isoperimetric problem	1
Variational principles for nonlinear PDE systems via duality	1
	1
Symmetry group of the equiangular cubed sphere	1
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	1
Preface for the special issue in honor of C. M. Dafermos	1
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions	1
On a singular Lifshitz-Slyozov-Wagner model	1
Error estimates for pressure-driven Hele-Shaw flow	1
Discretizing advection equations with rough velocity fields on non-Cartesian grids	1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities	1
Minimal entropy conditions for scalar conservation laws with general convex fluxes	1
Mechanical mechanism for self-replication	1
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential	1
Partial dissipation and sub-shock	1
Differential equations of quantum mechanics	1
Signals as submanifolds and configurations of points	1
A model of invariant control system using mean curvature drift from Brownian motion under submersions	1
Inviscid water-waves and interface modeling	1
Traveling water waves — the ebb and flow of two centuries	1
A note on the dissipation for the general Muskat problem	0
On Green’s function for Laplace’s equation in a rigid tube	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
Complete solvability of the inertial spin model with an averaged spin	0
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	0
Solvability in Hölder spaces of an inverse problem on chaotic dynamics of a polymer chain	0
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	0
The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition	0
Star dynamics: Collapse vs. expansion	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	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

Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
The Oberbeck–Boussinesq system with non-local boundary conditions	0
The Cauchy problem for a modified Euler-Poisson system in one dimension	0
Upper and lower bounds for stress concentration in linear elasticity when ????^{1,????} inclusions are close to boundary	0
Shock waves with irrotational Rankine-Hugoniot conditions	0
On the completely positive kernels for nonuniform meshes	0
Scale-size dependent multi-continuum homogenization of complex bodies	0
Inviscid Burgers as a degenerate elliptic problem	0
	0
Damped and driven breathers and metastability	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
On the contributions of Wendell Fleming	0
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	0
Energetic variational approaches for inviscid multiphase flow systems with surface flow and tension	0
HV geometry for signal comparison	0
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	0
About a cavitation model including bubbles in thin film lubrication taking convection into account	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
Nonlinear oscillators at resonance with periodic forcing	0
A two-scale model describing swelling in porous materials with elongated internal structures	0
Stationary soap film bridge formed by a small electrostatic force	0
On the stability of the compacton waves for the degenerate KdV and NLS models	0
A Fourier-Legendre spectral method for approximating the minimizers of ????_{2,????}-energy	0
Asymptotic behavior of an integral equation of Allen-Cahn type	0
Existence and regularity for global weak solutions to the ????-family water wave equations	0
Beckmann-type problem for degenerate Hamilton-Jacobi equations	0
Diffraction by a Dirichlet right angle on a discrete planar lattice	0
	0
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	0
Explicit calculation of singular integrals of tensorial polyadic kernels	0
	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
A remark on the nonsteady micropolar pipe flow with a dynamic boundary condition for the microrotation	0
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	0
Global stability of almost periodic solutions in population dynamics	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
Continua of steadily rotating stars	0
Models of bacteria swimming in a nematic liquid crystal	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
Regime-dependent infection propagation fronts in an SIS model	0
Steady Prandtl layer expansions with external forcing	0
	0
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	0
Non-linear singularity formation for circular vortex sheets	0
	0
	0
	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Orbital stability of peakons and multi-peakons for a generalized quintic-septic Camassa-Holm type equation	0
	0
Preface for the second special issue in honor of Bob Pego	0
Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
	0
Kaczmarz Kac walk	0
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion	0
Many-body excitations in trapped Bose gas: A non-Hermitian approach	0
Stability of standing waves for a generalized Benney-Roskes system	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0