Quarterly of Applied Mathematics

Papers
(The TQCC of Quarterly of Applied Mathematics is 1. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
30
6
On stability for semilinear generalized Rayleigh-Stokes equation involving delays6
6
Synchronization of the Lohe model on the hyperboloid under a directed graph6
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole6
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction6
Remarks on the linear wave equation6
Time-periodic linear boundary value problems on a finite interval5
Non-uniqueness in plane fluid flows5
Preface for the first special issue in honor of Bob Pego5
Hilbert expansion for Coulomb collisional kinetic models4
Self-similar solutions of the relativistic Euler system with spherical symmetry4
Smooth self-similar imploding profiles to 3D compressible Euler4
Hydrodynamic alignment with pressure II. Multi-species3
3
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry3
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes3
Long time gyrokinetic equations3
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems3
Linear stability of liquid Lane-Emden stars2
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift2
Examples and conjectures on the regularity of solutions to balance laws2
Two-point correlation function and its applications to the Schrödinger-Lohe type models2
An ????^{????} shock admissibility condition for conservation laws2
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics2
Free surface flows induced by re-entrant jet with surface tension effect in a channel2
Preface for the second special issue in honor of C. M. Dafermos2
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation2
On a nonlinear diffussive model for the evolution of cells within a moving domain2
On generalized compressible fluid systems on an evolving surface with a boundary2
Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law2
2
Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics2
On the analyticity of the flow map for the AHT equations2
Mechanical mechanism for self-replication1
Stationary solutions to the Boltzmann equation in the plane1
Partial dissipation and sub-shock1
Differential equations of quantum mechanics1
Symmetry group of the equiangular cubed sphere1
Persistence of solutions to the derivative nonlinear Schrödinger equation in weighted Sobolev spaces1
Inviscid water-waves and interface modeling1
A model of invariant control system using mean curvature drift from Brownian motion under submersions1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities1
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations1
1
The mathematics of thin structures1
Traveling water waves — the ebb and flow of two centuries1
Error estimates for pressure-driven Hele-Shaw flow1
Star dynamics: Collapse vs. expansion1
Stationary soap film bridge formed by a small electrostatic force1
Minimal entropy conditions for scalar conservation laws with general convex fluxes1
1
On a quaternary nonlocal isoperimetric problem1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces1
Preface for the special issue in honor of C. M. Dafermos1
On a singular Lifshitz-Slyozov-Wagner model1
Long time behavior of a rumor model with Ornstein-Uhlenbeck process1
Signals as submanifolds and configurations of points1
Non-linear singularity formation for circular vortex sheets1
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics1
Discretizing advection equations with rough velocity fields on non-Cartesian grids1
Variational principles for nonlinear PDE systems via duality1
The conjugate gradient algorithm on a general class of spiked covariance matrices1
0.021027088165283