OOIR: Observatory of International Research

Papers

(The TQCC of IMA Journal of Applied Mathematics is 3. 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
General rogue waves in the three-wave resonant interaction systems	29
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities	17
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions	15
Steady states and pattern formation of the density-suppressed motility model	15
On a subdiffusive tumour growth model with fractional time derivative	13
A mathematical multi-organ model for bidirectional epithelial–mesenchymal transitions in the metastatic spread of cancer	12
Stable asymmetric spike equilibria for the Gierer–Meinhardt model with a precursor field	10
Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems	10
Behaviour of solutions to the 1D focusing stochastic L2-critical and supercritical nonlinear Schrödinger equation with space-time white noise	9
Localized states in passive and active phase-field-crystal models	8
Fast and spectrally accurate numerical methods for perforated screens (with applications to Robin boundary conditions)	8
Localized states in coupled Cahn–Hilliard equations	8
An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems	7
Markov chain models of refugee migration data	7
Gradient-induced droplet motion over soft solids	7
The Riemann problem for a traffic flow model on a road with variable widths	7
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area	6
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index	6
Steady states of thin film droplets on chemically heterogeneous substrates	5
Shape optimization of stirring rods for mixing binary fluids	5
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods	5
Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles	5
The effect of compressibility on the behaviour of filter media	4
Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve	4
Snaking bifurcations of localized patterns on ring lattices	4

Stationary peaks in a multivariable reaction–diffusion system: foliated snaking due to subcritical Turing instability	4
Snaking without subcriticality: grain boundaries as non-topological defects	4
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	4
The maximum likelihood ensemble filter for computational flame and fluid dynamics	3
High-contrast approximation for penetrable wedge diffraction	3
Curvature effects and radial homoclinic snaking	3
Compressible Euler equations on a sphere and elliptic–hyperbolic property	3
Analysis of a model for the formation of fold-type oscillation marks in the continuous casting of steel	3
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory	3
On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs	3
Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency	3
Computing spectral properties of topological insulators without artificial truncation or supercell approximation	3
Homogenization and hypocoercivity for Fokker–Planck equations driven by weakly compressible shear flows	3
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	3
Stationary and oscillatory localized patterns in ratio-dependent predator–prey systems	3
The Hermitian symmetric space Fokas–Lenells equation: spectral analysis and long-time asymptotics	3
A degenerating convection–diffusion system modelling froth flotation with drainage	3