Proceedings of the Royal Society A-Mathematical Physical and Engineeri

Article	Citations
Another perspective on elastic and plastic anisotropy of textured metals	100
Solving generalized eigenvalue problems by ordinary differential equations on a quantum computer	68
The microdynamics shaping the relationship between democracy and corruption	65
Mean and variance of the Eulerian and Lagrangian horizontal velocities induced by nonlinear multi-directional irregular water waves	55
Working with Mike	50
Biomembranes undergo complex, non-axisymmetric deformations governed by Kirchhoff–Love kinematicsand revealed by a three-dimensional computational framework	45
Regolith flow on top-shaped asteroids	43
Stability of an inhomogeneous ferrofluid in a channel, subject to a normal field	38
Enhancing the performance of solenoidal spectrometers for inverse reactions	33
Analysis of a model for surfactant transport around a foam meniscus	33
Higher-order degenerations of Fay’s identities and applications to integrable equations	33
Helicoids and vortices	32
Elastic cloaking for a periodic distribution of parallel finite cracks	31
The seismic wavefield as seen by distributed acoustic sensing arrays: local, regional and teleseismic sources	30
The potential impact of intensified community hand hygiene interventions on respiratory tract infections: a modelling study	29
Stable coexistence in indefinitely large systems of competing species	29
Interfacial metric mechanics: stitching patterns of shape change in active sheets	27
Adaptive Bayesian inference of Markov transition rates	26
Uniform approximations and effective boundary conditions for a high-contrast elastic interface	25
Comment on: ‘A doubly anharmonic oscillator in an induced electric dipole system’	25
The theory of fifth-order Stokes waves in a linear shear current	25
The cost of quantum locality	24
Continuum soft tissue models from upscaling of arrays of hyperelastic cells	23
Discrete scattering and meta-arrest of locally resonant elastic wave metamaterials with a semi-infinite crack	21
Influence of the growth gradient on surface wrinkling and pattern transition in growing tubular tissues	21

Schwarzite nets: a wealth of 3-valent examples sharing similar topologies and symmetries	20
Puckering and wrinkling in a growing composite ring	19
The deterministic core of stochastically perturbed nonlinear mechanical systems	19
Determinants of successful mitigation in coupled social-climate dynamics	19
Michael J. Duff: a personal reminiscence	19
Classification of first strain-gradient elasticity tensors by symmetry planes	19
Complete integrability and equilibrium thermodynamics of biaxial nematic systems with discrete orientational degrees of freedom	19
A discrete shear lag model of the mechanics of hitchhiker plants, and its prospective application to tendon-to-bone repair	19
Introduction to the special issue dedicated to Michael J. Duff FRS on the occasion of his 70th birthday	18
Frequency tunable electromagnetic vibration energy harvester using piecewise linear nonlinearity	18
Deeply subwavelength giant monopole elastodynamic metacluster resonators	18
Variational principles of liquid–porous material interactions with applications to approximate solutions and finite-element modelling	18
Asymptotic solution to convolution integral equations on large and small intervals	18
Pushing coarse-grained models beyond the continuum limit using equation learning	17
Wind tunnel evaluation of novel drafting formations for an elite marathon runner	17
Homotopy perturbation method and its convergence analysis for nonlinear collisional fragmentation equations	17
A scaling investigation of pattern in the spread of COVID-19: universality in real data and a predictive analytical description	17
Enabling novel dispersion and topological characteristics in mechanical lattices via stable negative inertial coupling	17
Superconductivity and nucleation from fractal anisotropy and product-like fractal measure	16
Numerically solving a nonlinear integral equation when the reciprocal of the solution lies in the integrand	16
Graphite phases in chemical vapour deposited grown ZrC/graphite layers	16
Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel	16
Structural engineering from an inverse problems perspective	15
Mechanical response of a thick poroelastic gel in contactless colloidal-probe rheology	14
A sampling-based approach for information-theoretic inspection management	14
Paraxial Dirac equation	14
Growth and morphogenesis of an everted tubular biological tissue	14
Melting of wall-mounted ice in shear flow	14
Solution landscapes of the simplified Ericksen–Leslie model and its comparisonwith the reduced Landau–deGennes model	13
Improved estimations of stochastic chemical kinetics by finite-state expansion	13
Unconditionally secure relativistic multi-party biased coin flipping and die rolling	13
Selective and tunable excitation of topological non-Hermitian quasi-edge modes	13
Kinematic dynamos in triaxial ellipsoids	13
Semiclassical approach for excitonic spectrum of Coulomb coupling between two Dirac particles	13
Representing the stress and strain energy of elastic solids with initial stress and transverse texture anisotropy	12
On the problem of comparing graded metamaterials	12
Persistent currents, revival time and effects of rotation on an attractive inverse-square-type potential in a magnetic quadrupole moment system	12
Computational modelling distinguishes diverse contributors to aneurysmal progression in the Marfan aorta	12
Whitham shocks and resonant dispersive shock waves governed by the higher order Korteweg–de Vries equation	12
Short branch cut approximation in two-dimensional hydrodynamics with free surface	12
Cluster-based Bayesian approach for noisy and sparse data: application to flow-state estimation	12
An axisymmetric problem for a penny-shaped crack under the influence of the Steigmann–Ogden surface energy	11
Structural function from sequential, interacting elastic instabilities	11
Shear and flexural deformations in flextegrity segmental beams inspired by Leonardo’s triangular masonry construction	11
PT-symmetry and supersymmetry: interconnection of broken and unbroken phases	11
Explosive rigidity percolation in kirigami	11
Gauß–Manin from scratch: theme, variations and fantasia	11
The Robin and Neumann problems for the nonlinear Schrödinger equation on the half-plane	11
Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework	11
Pair approximation model for the vaccination game: predicting the dynamic process of epidemic spread and individual actions against contagion	11

On the degeneracy of spin ice graphs, and its estimate via the Bethe permanent	11
Snap-through and indirect reduced-order modelling	11
Anisotropic stress softening of residually stressed solids	11
Quantum mechanics with spatial non-local effects and position-dependent mass	11
Coupling-induced instability in a ring of thermoacoustic oscillators	11
Muography as a new complementary tool in monitoring volcanic hazard: implications for early warning systems	10
Zig-zag dynamics in a Stern–Gerlach spin measurement	10
Modification of Turing patterns through the use of time-varying anisotropic diffusion	10
Classification of bi-Hamiltonian pairs extended by isometries	10
Stress relaxation after low- and high-rate deformation of polyurethanes	10
Human decision-making in a non-ergodic additive environment	10
Linear analysis of ice-shelf topography response to basal melting and freezing	10
Anisotropy distorts the spreading of a fixed volume porous gravity current	10
Asymptotic analysis of subglacial plumes in stratified environments	10
Self-similar solutions for high-energy density radiative transfer with separate ion and electron temperatures	10
Thermal convection with a Cattaneo heat flux model	10
How time-discretization can break the asymptotics of inverse scattering	10
Quenching for a semi-linear wave equation for micro-electro-mechanical systems	10
On quantum states over time	10
Equivalent in-plane elastic moduli of honeycomb materials under hypergravity conditions	10
Equations for small amplitude shallow water waves over small bathymetric variations	10
Triple-spherical Bessel function integrals with exponential and Gaussian damping: towards an analytic N-point correlation function covariance model	10
Rigid folding equations of degree-6 origami vertices	10
A digital-twin framework for genomic-based optimization of an agrophotovoltaic greenhouse system	10
Transverse spectral instability in generalized Kadomtsev–Petviashvili equation	10
Extending the analysis on the best solar activity proxy for long-term ionospheric investigations	10
Clusters of Bloch waves in three-dimensional periodic media	10
Explorations of certain nonlinear waves of the Boussinesq and Camassa–Holm equations using physics-informed neural networks	10
Topological effects of a global monopole on a spherical quantum dot	9
Identification of subwavelength microstructural information from macroscopic boundary measurements in elastodynamics	9
Contemporary sea-level changes from global to local scales: a review	9
Self-similarity of spectral response functions for fractional quantum Hall states	9
Exploring the role of crystal habit in the Ostwald rule of stages	9
Variational implicit solvation with Legendre-transformed Poisson–Boltzmann electrostatics	9
Self-dual electromagnetic fields	9
Enhanced attraction between drops carrying fluctuating charge distributions	9
Painlevé-type asymptotics for the defocusing Hirota equation in transition region	9
Generating new gravitational solutions by matrix multiplication	9
A novel multiscale model for micro-structured electromagnetic media	9
Modelling and simulation of the cholesteric Landau-de Gennes model	9
Using a robotic platform to study the influence of relative tailbeat phase on the energetic costs of side-by-side swimming in fish	9
Wind-driven and buoyancy-driven circulation in the subtropical North Atlantic Ocean	9
Recovering multiple fractional orders in time-fractional diffusion in an unknown medium	9
Better strategies for containing COVID-19 pandemic: a study of 25 countries via a vSIADR model	8
Bounds of the technical constants for two-dimensional anisotropic elasticity	8
Langevin dynamics for a heavy particle immersed within a flow of light particles	8
Bi-Hamiltonian structures of WDVV-type	8
An Eulerian hyperbolic model for heat transfer derived via Hamilton’s principle: analytical and numerical study	8
Kirigami tiled surfaces with multiple configurations	8
Wave spectroscopy in a driven granular material	8
A generalized Dean–Kawasaki equation for an interacting Brownian gas in a partially absorbing medium	8
Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion	8
Flutter instability in solids and structures, with a view on biomechanics and metamaterials	8
The Painlevé paradox in three dimensions: resolution with regularization	8
A general solution for rotating lattices of identical point vortices	8
Stability of penetrative convective currents in local thermal non-equilibrium	8
Revisiting causality using stochastics: 2. Applications	8
Homogenization of an elastic material reinforced by very strong fibres arranged along a periodic lattice	8
Riemannian geometry and molecular similarity I: spectrum of the Laplacian	8
Variational construction of tubular and toroidal streamsurfaces for flow visualization	8
Manifestations of inertia on light dragging revealed in plasmas	8
Modelling the anomalous shock response of titanium diboride	8
A mathematical model of thermoplastic elastomers for analysing the topology of microstructures and mechanical properties during elongation	8
How norms shape the evolution of prosocial behaviour–compassion, universalizability, reciprocity and equity: a C.U.R.E for social dilemmas	7
Universal dynamics of biological pattern formation in spatio-temporal morphogen variations	7
Signature of transition to supershear rupture speed in the coseismic off-fault damage zone	7
Data-driven reduction and decomposition with time-axis clustering	7
The topological origin of the Peierls–Nabarro barrier	7
Confined helium, density dependence of the inelastic electron and photon scattering cross-sections and the optical oscillator strength	7
Mean-field theory for double-well systems on degree-heterogeneous networks	7
Debunking revolutionary paradigm shifts: evidence of cumulative scientific progress across science	7
Correction to ‘Exact solution to a Liouville equation with Stuart vortex distribution on the surface of a torus’	7
The Jones polynomial of collections of open curves in 3-space	7
Τhe role of surface energy in the apparent solubility of two different calcite crystal habits	7
The linear viscoelastic fracture theory applies to soft solids better when they are…viscoelastic	7
A constitutive model for transversely isotropic dispersive materials	7
Manifestation of the Berry curvature in geophysical ray tracing	7
Measuring the speed of quantum particles without a round-trip under non-synchronized quantum clocks	7
Metamaterial applications of Tmatsolver, an easy-to-use software for simulating multiple wave scattering in two dimensions	7
Towards an information-theoretic framework for multiple sequence alignment sub-sampling	7

A review on semi-analytical methods for aggregation and coupled aggregation–breakage equations	7
Vassiliev measures of complexity of open and closed curves in 3-space	7
Unstable cores are the source of instability in chemical reaction networks	7
Canonical scattering problem in topological metamaterials: Valley-Hall modes through a bend	7
A system model of three-body interactions in complex networks: consensus and conservation	7
Modelling the dynamics of product adoption and abandonment	7
Integral equation methods for acoustic scattering by fractals	7
Turing patterns on discrete topologies: from networks to higher-order structures	7
Stability of state-dependent switched systems under hybrid delayed impulsive control	7
Quasi-steady-state modelling and characterization of diffusion-controlled dissolution from monodisperse prolate and oblate spheroidal particles	6
A growth model for water distribution networks with loops	6
Comments on effective use of numerical modelling and extended classical shell buckling theory	6
An effective semilocal model for wave turbulence in two-dimensional nonlinear optics	6
Everettian relative states in the Heisenberg picture	6
A high-eigenfrequency differential stiffness probe for high-speed scanning probe microscopy	6
Imitation and aspiration dynamics bring different evolutionary outcomes in feedback-evolving games	6
Sensitivity analysis of large body of control parameters in machine learning control of a square-back Ahmed body	6
Modelling of stress transfer in root-reinforced soils informed by four-dimensional X-ray computed tomography and digital volume correlation data	6
Computation of Burgers vectors from elastic strain and lattice rotation data	6
Law of elasticity and fracture limit of magnetic forcelines under their gravitational deformation	6
Covid-19: predictive mathematical formulae for the number of deaths during lockdown and possible scenarios for the post-lockdown period	6
Special issue: advances in Wiener–Hopf type techniques: theory and applications	6
Continuation of the Stieltjes series to the large regime by finite-part integration	6
Exact closed-form and asymptotic expressions for the electrostatic force between two conducting spheres	6
Exact hydrodynamics and onset of phase separation for an active exclusion process	6
Direct statistical simulation of low-order dynamosystems	6
Allowing Wigner’s friend to sequentially measure incompatible observables	6
Curvature dependences of wave propagation in reaction–diffusion models	6
Nematic liquid crystalline elastomers are aeolotropic materials	6
USP: an independence test that improves on Pearson’s chi-squared and the G -test	6
Can comets deliver prebiotic molecules to rocky exoplanets?	6
Comment on Y.-C. Chen, E. Fried, Möbius bands, unstretchable material sheets and developable surfaces. Proc. R. Soc. A 472, 20160459 (2016)	6
Causal lifting and link prediction	6
Interplay between disorder and hardening during tensile fracture of a quasi-brittle solid	6
Atomistic mechanisms of phase nucleation and propagation in a model two-dimensional system	6
The onset time of Fermi’s golden rule	6
Time-varying Bose–Einstein condensates	6
Strain, disfigurement and flexure tensors in continuum kinematics	6
Finite time blowup of incompressible flows surrounding compressible bubbles evolving under soft equations of state	6
The principle of compromise-in-competition: understanding mesoscale complexity of different levels	6
Flextegrity simple cubic lattices	6
Multistability, symmetry and geometric conservation in eightfold waterbomb origami	6
Post-buckling dynamics of spherical shells	6
Deviations from classical droplet evaporation theory	6
Ranking with multiple types of pairwise comparisons	6
Gravity, duality and conformal symmetry	6
A flexoelectric actuator model with shear-lag and peel stress effects	6
On rigid origami III: local rigidity analysis	5
Design of an acoustic energy distributor using thin resonant slits	5
Evolution of quantum non-equilibrium for coupled harmonic oscillators	5
Submarine channels formation driven by turbidity currents interacting with an erodible bed	5
Local supersymmetry: variations on a theme by Volkov and Soroka	5
Wave-breaking phenomena and global existence for the weakly dissipative generalized Novikov equation	5
Stability of longitudinal sediment waves formed by turbidity currents: linear and weakly nonlinear perspectives	5
Analysis of the energy transfer process for multiple scattering problems involving lossy media	5
Chiral triclinic metamaterial crystals supporting isotropic acoustical activity and isotropic chiral phonons	5
Geometric mechanics of ordered and disordered kirigami	5
Controlling the dispersion of metamaterials in three dimensions	5
Edge resonance: exact results and fresh insights	5
Introduction to special feature dedicated to Prof. Allan Fordy on the occasion of his 70th birthday	5
Uniform asymptotic expansions for the Whittaker functions M κ , μ (	5
Heteroclinic bifurcation analysis of the tippedisk through the use of Melnikov theory	5
Shape reconfiguration through origami folding sets an upper limit on drag	5
Sturm–Liouville systems for the survival probability in first-passage time problems	5
Non-reciprocal population dynamics in a quantum trimer	5
Explorations of the holonomy of a rolling sphere	5
Wallpaper group kirigami	5
Normal form for maps with nilpotent linear part	5
Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages	5
Distillation of non-locality in porous solids	5
Reply to the comment of van der Heijden and Starostin	5
Unsteady Reynolds-averaged Navier–Stokes investigation of free surface wave impact on tidal turbine wake	5
Triggering of electro-elastic anti-superhydrophobicity during non-Newtonian droplet collision	5
On blockage coefficients: flow past a body in a pipe	5
The most predictable component of a linear stochastic model	5
Programming quadric metasurfaces via infinitesimal origami maps of monohedral hexagonal tessellations: Part II	5
Critical rates of climate warming and abrupt collapse of ecosystems	5
Response of flexible structures to air-blast: nonlinear compressibility effects in fluid–structure interaction	5
Shapes of large, static soap bubbles	5
Fractional-order viscoelastic model of musculoskeletal tissues: correlation with fractals	5
Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice	5
Fay meets van der Pauw: the trisecant identity and the resistivity of holey samples	5
Symmetries in transmission electron microscopy imaging of crystals with strain	5
Quantifying the preventive effect of wearing face masks	5
The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods	4
Chirality and curvature determine the meandering of spirals in multilayer excitable media	4
Spectral stability of travelling waves in a thin-layer two-fluid Couette flow	4
Nonlinear acoustics of an aperture under grazing flow	4
Bifurcations of an elastic disc coated with an elastic inextensible rod	4
Symplectic decomposition from submatrix determinants	4
Torque-driven superhydrophobic cylinders swim in circles	4
Kinematics and dynamics of non-developable origami	4
Young and Young–Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states	4
Of fiery sparks and glittering spots: melting-resolidification and spherical particle formation in abrasion	4
Application of thrust layout optimization to masonry structures	4