OOIR: Observatory of International Research

Papers

(The median citation count of IMA Journal 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 2020-03-01 to 2024-03-01.)

Article	Citations
General rogue waves in the three-wave resonant interaction systems	29
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
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities	15
A mathematical multi-organ model for bidirectional epithelial–mesenchymal transitions in the metastatic spread of cancer	12
On a subdiffusive tumour growth model with fractional time derivative	11
Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems	10
Stable asymmetric spike equilibria for the Gierer–Meinhardt model with a precursor field	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 coupled Cahn–Hilliard equations	8
Fast and spectrally accurate numerical methods for perforated screens (with applications to Robin boundary conditions)	8
Localized states in passive and active phase-field-crystal models	8
Non-Newtonian channel flow—exact solutions	8
An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems	7
Fractional phase-field crystal modelling: analysis, approximation and pattern formation	7
The Riemann problem for a traffic flow model on a road with variable widths	7
Gradient-induced droplet motion over soft solids	7
Markov chain models of refugee migration data	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
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods	5
Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles	5
Steady states of thin film droplets on chemically heterogeneous substrates	5
Shape optimization of stirring rods for mixing binary fluids	5
Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities	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
The effect of compressibility on the behaviour of filter media	4
Snaking without subcriticality: grain boundaries as non-topological defects	4
Curvature effects and radial homoclinic snaking	3
Compressible Euler equations on a sphere and elliptic–hyperbolic property	3
Homogenization and hypocoercivity for Fokker–Planck equations driven by weakly compressible shear flows	3
The maximum likelihood ensemble filter for computational flame and fluid dynamics	3
High-contrast approximation for penetrable wedge diffraction	3
Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency	3
A degenerating convection–diffusion system modelling froth flotation with drainage	3
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	3
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory	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
Analysis of a model for the formation of fold-type oscillation marks in the continuous casting of steel	3
Analysis of the susceptible-infected-susceptible epidemic dynamics in networks via the non-backtracking matrix	3
Rankine-type cylinders having zero wave resistance in infinitely deep flows	2
Asymptotic analysis of internal relaxation oscillations in a conceptual climate model	2
The inverse elastic scattering by an impenetrable obstacle and a crack	2
Reaction–subdiffusion systems and memory: spectra, Turing instability and decay estimates	2
On the stability of waves in classically neutral flows	2
Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations	2
On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers	2
Stability results on radial porous media and Hele-Shaw flows with variable viscosity between two moving interfaces	2
Adversarial ink: componentwise backward error attacks on deep learning	2
A new approach to the complex Helmholtz equation with applications to diffusion wave fields, impedance spectroscopy and unsteady Stokes flow	2
Stability analysis of a standby system with an unreliable server and switching failure	2
Global threshold dynamics of a spatial chemotactic mosquito-borne disease model	2
A parallel sampling algorithm for some nonlinear inverse problems	2
An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval	2
Computing spectral properties of topological insulators without artificial truncation or supercell approximation	2
Blow up and global solvability for an absorptive porous medium equation with memory at the boundary	2
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	2
A lumped-parameter model for kidney pressure during stone removal	2
On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs	2
Explicit superposed and forced plane wave generalized Beltrami flows	2
Grazing bifurcations and transitions between periodic states of the PP04 model for the glacial cycle	2
Localization and snaking in axially compressed and internally pressurized thin cylindrical shells	2
Torsional rigidity for tangential polygons	2
Analysis of point-contact models of the bounce of a hard spinning ball on a compliant frictional surface	2
Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background	2
Steady slip flow of Newtonian fluids through tangential polygonal microchannels	2
Asymptotic solutions of the SIR and SEIR models well above the epidemic threshold	1
Impact of delayed acceleration feedback on the classical car-following model	1
Spatial localization beyond steady states in the neighbourhood of the Takens–Bogdanov bifurcation	1
Dynamical aspects of a restricted three-vortex problem	1
A stacked frequency approach for inhomogeneous time-dependent MRE: an inverse problem for the elastic shear modulus	1
Scattering in a partially open waveguide: the forward problem	1

Temporal instability of curved viscous fibers with a radial electric field	1
Identifying a response parameter in a model of brain tumour evolution under therapy	1
The factorization method for the scattering by a mixed inhomogeneous medium	1
A mathematical model of asynchronous data flow in parallel computers*	1
A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel	1
On desingularization of steady vortex for the lake equations	1
The factorization method for a mixed inverse elastic scattering problem	1
Time-harmonic elastic singularities and oscillating indentation of layered solids	1
Reconstruction of inclusions in electrical conductors	1
Global synchronization of coupled reaction–diffusion neural networks with general couplings via an iterative approach	1
Locating small inclusions in diffuse optical tomography by a direct imaging method	1
The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation	1
Traveling edge states in massive Dirac equations along slowly varying edges	1
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation	1
Dielectric breakdown sizes of conducting plates	1
Estimating conformal capacity using asymptotic matching	1
Pattern formation in a slowly flattening spherical cap: delayed bifurcation	1
Non-equilibrium growth of a binary alloy	1
Radiation of sound waves from a coaxial duct with perforated screen	1
A dual self-monitored reconstruction scheme on theTV-regularized inverse conductivity problem	1
Quasisteady models for weld temperatures in fused filament fabrication	1
Convective and absolute instability of falling viscoelastic liquid jets surrounded by a gas	1
Integrable reduction and solitons of the Fokas–Lenells equation	1
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems	1
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel	1
A new solution approach to the Serre equations	1
Accelerated Dirichlet–Robin alternating algorithms for solving the Cauchy problem for the Helmholtz equation	1
Free-stream coherent structures in the unsteady Rayleigh boundary layer	1
Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance	1