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 2020-04-01 to 2024-04-01.)

Article	Citations
Traveling water waves — the ebb and flow of two centuries	12
Global expanding solutions of compressible Euler equations with small initial densities	6
The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic	6
Surrounding the solution of a linear system of equations from all sides	5
Excitation of a layered medium by ? sources: Scattering relations, interaction cross sections and physical bounds	5
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions	5
Large time behavior, bi-Hamiltonian structure, and kinetic formulation for a complex Burgers equation	4
Strong solutions to a nonlocal-in-time semilinear heat equation	4
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds	4
Localization in optical systems with an intensity-dependent dispersion	4
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer	4
Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws	4
Self-similar grooving solutions to the Mullins’ equation	3
Symmetry group of the equiangular cubed sphere	3
Beckmann-type problem for degenerate Hamilton-Jacobi equations	3
Matrix-scaled resilient consensus of discrete-time and continuous-time networks	3
The conjugate gradient algorithm on a general class of spiked covariance matrices	3
Diffraction by a Dirichlet right angle on a discrete planar lattice	3
Time-periodic linear boundary value problems on a finite interval	3
Explicit calculation of singular integrals of tensorial polyadic kernels	2
Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution	2
Variational principles for nonlinear PDE systems via duality	2
The Oberbeck–Boussinesq system with non-local boundary conditions	2
Excitation of a layered sphere by ? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems	2
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential	2

A coupled Cahn–Hilliard model for the proliferative-to-invasive transition of hypoxic glioma cells	2
Ideal magnetohydrodynamic equations on a sphere and elliptic-hyperbolic property	2
Continua of steadily rotating stars	1
About a cavitation model including bubbles in thin film lubrication taking convection into account	1
Many-body excitations in trapped Bose gas: A non-Hermitian approach	1
Star dynamics: Collapse vs. expansion	1
Two-point correlation function and its applications to the Schrödinger-Lohe type models	1
Taylor’s theorem for functionals on BMO with application to BMO local minimizers	1
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The mathematics of thin structures	1
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics	1
The Cauchy problem for a modified Euler-Poisson system in one dimension	1
On stability for semilinear generalized Rayleigh-Stokes equation involving delays	1
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law	1
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics	1
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics	1
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Hydrodynamic alignment with pressure II. Multi-species	1
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method	1
Long time gyrokinetic equations	1
Uniform boundedness for a predator-prey system with chemotaxis and dormancy of predators	1
The best constant for ?^{∞}-type Gagliardo-Nirenberg inequalities	1
On Green’s function for Laplace’s equation in a rigid tube	1
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift	1
Viscous conservation laws in 1D with measure initial data	1
Stream functions for divergence-free vector fields	1
An ?^{?} shock admissibility condition for conservation laws	1
The relative entropy method for inhomogeneous systems of balance laws	1
A macro-micro elasticity-diffusion system modeling absorption-induced swelling in rubber foams: Proof of the strong solvability	1
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation	1
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble	1
Steady Prandtl layer expansions with external forcing	1
Examples and conjectures on the regularity of solutions to balance laws	1
Smooth self-similar imploding profiles to 3D compressible Euler	1
On generalized compressible fluid systems on an evolving surface with a boundary	1
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Shock waves with irrotational Rankine-Hugoniot conditions	0
Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies	0
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics	0
Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation	0
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state	0
On a singular Lifshitz-Slyozov-Wagner model	0
Preface for the first special issue in honor of Bob Pego	0
Preface for the special issue in honor of C. M. Dafermos	0
Reduced equations for an active model of hydroelastic waves in the cochlea	0
Complete solvability of the inertial spin model with an averaged spin	0
Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional	0
Models of bacteria swimming in a nematic liquid crystal	0
Non-uniqueness in plane fluid flows	0

A primal-dual optimization strategy for elliptic partial differential equations	0
Explicit integrators for nonlocal equations: The case of the Maxey-Riley-Gatignol equation	0
Differential equations of quantum mechanics	0
Hilbert expansion for Coulomb collisional kinetic models	0
On a quaternary nonlocal isoperimetric problem	0
Preface for the second special issue in honor of Bob Pego	0
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An approximate approach to the structured distance to normality of Toeplitz operators	0
Non-linear singularity formation for circular vortex sheets	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
Damped and driven breathers and metastability	0
Iterated linear optimization	0
Stability of standing waves for a generalized Benney-Roskes system	0
Existence and regularity for global weak solutions to the ?-family water wave equations	0
Self-similar solutions of the relativistic Euler system with spherical symmetry	0
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations	0
Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach	0
On the completely positive kernels for nonuniform meshes	0
Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model	0
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Global stability of almost periodic solutions in population dynamics	0
The influence of surface tension and gravity on cavitating flow past an inclined plate in a channel	0
Preface for the second special issue in honor of C. M. Dafermos	0
A model of invariant control system using mean curvature drift from Brownian motion under submersions	0
Using Bernoulli maps to accelerate mixing of a random walk on the torus	0
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Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data	0
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A local sensitivity analysis in Landau damping for the kinetic Kuramoto equation with random inputs	0
A Fourier-Legendre spectral method for approximating the minimizers of ?_{2,?}-energy	0
Conservation laws in biology: Two new applications	0
Stationary solutions to the Boltzmann equation in the plane	0
Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions	0
Error estimates for pressure-driven Hele-Shaw flow	0
Singularities of the stress concentration in the presence of ?^{1,?}-inclusions with core-shell geometry	0
Linear stability of elastic 2-line solitons for the KP-II equation	0
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Transverse instability of high frequency weakly stable quasilinear boundary value problems	0
Linear stability of liquid Lane-Emden stars	0
Discretizing advection equations with rough velocity fields on non-Cartesian grids	0
Reversal permanent charge and concentrations in ionic flows via Poisson-Nernst-Planck models	0
A note on the dissipation for the general Muskat problem	0
Partial dissipation and sub-shock	0
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Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model	0
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Minimal entropy conditions for scalar conservation laws with general convex fluxes	0
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials	0
HV geometry for signal comparison	0
Remarks on the linear wave equation	0
Corrigendum to “Non-linear singularity formation for circular vortex sheets”	0
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws	0
Stability of strong detonation waves for Majda’s model with general ignition functions	0
On the stability of the compacton waves for the degenerate KdV and NLS models	0
Upper and lower bounds for stress concentration in linear elasticity when ?^{1,?} inclusions are close to boundary	0
Emergent behaviors in group ring flocks	0
Inviscid water-waves and interface modeling	0