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 2022-08-01 to 2026-08-01.)
ArticleCitations
8
Orbital stability of bifurcating solutions in the nonlinear Schrödinger system with quadratic interaction8
Remarks on the linear wave equation8
Coupled surface diffusion and mean curvature motion: An axisymmetric system with two grains and a hole8
Spacetime decay of mild solutions and conditional quantitative transfer of regularity of the incompressible Navier–Stokes Equations from ℝⁿ to bounded domains7
Non-uniqueness in plane fluid flows7
Synchronization of the Lohe model on the hyperboloid under a directed graph7
Preface for the first special issue in honor of Bob Pego6
Self-similar solutions of the relativistic Euler system with spherical symmetry6
5
Radially weighted Backus- and Childress-type bounds for spherical dynamos5
Smooth self-similar imploding profiles to 3D compressible Euler5
Excitation of a layered sphere by ???? acoustic sources: Exact solutions, low-frequency approximations, and inverse problems5
Hilbert expansion for Coulomb collisional kinetic models5
Singularities of the stress concentration in the presence of ????^{1,????}-inclusions with core-shell geometry4
On the analyticity of the flow map for the AHT equations4
????²-stability and minimal entropy conditions for scalar conservation laws with concave-convex fluxes4
Long time gyrokinetic equations3
On a nonlinear diffussive model for the evolution of cells within a moving domain3
Hydrodynamic alignment with pressure II. Multi-species3
Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics3
3
Analysis of a one-dimensional biofilm model3
Approximate slow manifolds in the Fokker-Planck equation2
The mathematics of thin structures2
On generalized compressible fluid systems on an evolving surface with a boundary2
Partial dissipation and sub-shock2
Examples and conjectures on the regularity of solutions to balance laws2
Free surface flows induced by re-entrant jet with surface tension effect in a channel2
2
Long time behavior of a rumor model with Ornstein-Uhlenbeck process2
Preface for the second special issue in honor of C. M. Dafermos2
Linear stability of liquid Lane-Emden stars2
On a quaternary nonlocal isoperimetric problem1
Mechanical mechanism for self-replication1
Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations1
Stationary solutions to the Boltzmann equation in the plane1
The best constant for ????^{∞}-type Gagliardo-Nirenberg inequalities1
Persistence of solutions to the derivative nonlinear Schrödinger equation in weighted Sobolev spaces1
Discretizing advection equations with rough velocity fields on non-Cartesian grids1
Pulled fronts are not (just) pulled1
A model of invariant control system using mean curvature drift from Brownian motion under submersions1
Nonlinearly elastic maps: Energy minimizing configurations of membranes on prescribed surfaces1
1
On a singular Lifshitz-Slyozov-Wagner model1
Preface for the special issue in honor of C. M. Dafermos1
Minimal entropy conditions for scalar conservation laws with general convex fluxes1
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics1
Star dynamics: Collapse vs. expansion1
Large deviation asymptotics for the supermarket model with growing choices1
Signals as submanifolds and configurations of points1
Asymptotic solution to linearized Euler system for homentropic fluids1
On regularity and stability for nonlocal pseudo-parabolic equations involving time-varying delays1
1
1
A coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging1
Stationary soap film bridge formed by a small electrostatic force1
1
Variational principles for nonlinear PDE systems via duality1
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