## Web Access Research Portal

# Researcher: Bassom, A (Professor Andrew Bassom)

## Fields of Research

Theoretical and Applied Mechanics

Optical Physics

Community Ecology

Applied Mathematics

## Research Objectives

Expanding Knowledge in the Mathematical Sciences

Expanding Knowledge in the Biological Sciences

## Career Best Publications

## Research Publications

Görtler vortices in the Rayleigh layer on an impulsively started cylinder; **Physics of Fluids**

Nonlinear 2Ω-dynamo waves in stellar shells; **Geophysical and Astrophysical Fluid Dynamics**

A mathematical model for cell-induced gel compaction *in vitro*; **Mathematical Models and Methods in Applied Sciences**

A nonlinear dynamo wave riding on a spatially varying background; **Proceedings of the Royal Society A**

A Note on the Linear Stability of a Two-dimensional Stokes Layer; **Quarterly Journal of Mechanics and Applied Mathematics**

Accelerated diffusion in the centre of a vortex; **Journal of Fluid Mechanics**

Advection-diffusion of a Passive Scalar in the Flow of a Decaying Vortex; **Tubes, Sheets and Singularities in Fluid Dynamics**

An asymptotic description of the elastic instability of twisted thin elastic plates; **Acta Mechanica**

An asymptotic solution of a kinematic *α**Ω*-dynamo with meridional circulation; **Geophysical and Astrophysical Fluid Dynamics**

An inhomogeneous Landau equation with application to spherical Couette flow in the narrow gap limit; **Physica D - Nonlinear Phenomena**

An inversion method of Gel'fand-Levitan type for the electromagnetic induction problem; **Geophysical Journal**

Analytical modelling of non-uniform deformation in thin-walled orthotropic tubes under pure bending; **Welding in The World**

Application of the isomonodromy deformation method to the fourth Painlevé equation; **Inverse Problems**

Application of uniform asymptotics to the second Painlevé transcendent; **Archive for Rational Mechanics and Analysis**

Asymptotic limits and wrinkling patterns in a pressurised shallow spherical cap; **International Journal of Non-Linear Mechanics**

Asymptotic phenomena in pressurized thin films; **Proceedings of the Royal Society of London A**

Batch processing in a glass furnace; **The ANZIAM Journal**

Boundary layers and stress concentration in the circular shearing of annular thin films; **Royal Society of London. Proceedings. Mathematical, Physical and Engineering Sciences**

Boundary tracing and boundary value problems: I. Theory; **Proceedings of the Royal Society A. Mathematical, Physical and Engineering Sciences**

Boundary tracing and boundary value problems: II. Applications; **Proceedings of the Royal Society A**

Bäcklund transformations and solution hierarchies for the third Painlevé equation; **Studies in Applied Mathematics**

Characterization of limiting homoclinic behaviour in a one-dimensional elastic buckling model; **Journal of The Mechanics and Physics of Solids**

Classical theory of decompression and the design of scuba diving tables; **The Mathematical Scientist**

Concerning the interaction of non-stationary crossflow vortices in a three-dimensional boundary layer; **Quarterly Journal of Mechanics and Applied Mathematics**

Conditions for the localization of plastic deformation in temperature sensitive visco-plastic materials; **Journal of Mechanics of Materials and Structures**

Conservation laws and integral relations for the Boussinesq equation; **Studies in Applied Mathematics (Malden)**

Convective plume paths in anisotropic porous media; **Transport in Porous Media**

Convective Plumes in Porous Media: The Effect of Asymmetrically Placed Boundaries; **International Communications in Heat and Mass Transfer**

Dean vortices in finite-aspect-ratio ducts; **Journal of Fluid Mechanics**

Diffusion and the formation of vorticity staircases in randomly strained two-dimensional vortices; **Journal of Fluid Mechanics**

Diffusion driven instability in an inhomogeneous circular domain; **Mathematical and Computer Modelling**

Direct numerical simulations of small disturbances in the classical Stokes layer; **Journal of Engineering Mathematics**

Effect of wall cooling on compressible Gortler vortices; **European Journal of Mechanics, B/Fluids**

Effects of an axial flow component on the Honji instability; **Journal of Fluids and Structures**

Effects of exponentially small terms in the perturbation approach to localized buckling; **Proceedings of the Royal Society of London A**

Effects of orthotropy and variation of Poisson's ratio on the behaviour of tubes in pure flexure; **Journal of The Mechanics and Physics of Solids**

Elasto-plastic localised responses in one-dimensional structural models; **Journal of Engineering Mathematics**

Ermakov systems of arbitrary order and dimension: structure and linearization; **Journal of Physics A: Mathematical and General**

Evolution of disturbance wavepackets in an oscillatory Stokes layer; **Journal of Fluid Mechanics**

Exact Solutions of the Laplace–Young Equation; **Proceedings of the Royal Society A. Mathematical, Physical and Engineering Sciences**

Finite amplitude thermal inertial waves in a rotating fluid layer; **Geophysical and Astrophysical Fluid Dynamics**

Flow of a liquid layer over heated topography; **Proceedings of the Royal Society A**

Forced convection past a heated cylinder in a porous medium using a thermal nonequilibrium model: Boundary layer analysis; **European Journal of Mechanics B - Fluids**

Free convection from a heated vertical cylinder embedded in a fluid-saturated porous medium; **Acta Mechanica**

Frequency staircases in narrow-gap spherical Couette flow; **Geophysical and Astrophysical Fluid Dynamics**

Front propagation in a phase field model with phase-dependent heat absorption; **Physica D - Nonlinear Phenomena**

Global bifurcation to travelling waves with application to narrow gap spherical Couette flow; **Physica D - Nonlinear Phenomena**

High wavenumber convection in tall porous containers heated from below; **Quarterly Journal of Mechanics and Applied Mathematics**

Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending; **Journal of Engineering Mathematics**

Impulsively Generated Convection in a Semi‐Infinite Fluid Layer above a Heated Flat Plate; **The Quarterly Journal of Mechanics & Applied Mathematics**

Instability of hypersonic flow over a cone; **Journal of Fluid Mechanics**

Interacting convection modes in a saturated porous medium of nearly square planform: four modes; **IMA Journal of Applied Mathematics**

Large wavenumber vortices in time-periodic flows; **Proceedings of the Royal Society of London A**

Linear stability of a developing thermal front induced by a constant heat flux; **Transport in Porous Media**

Local thermal non-equilibrium effects arising from the injection of a hot fluid into a porous medium; **Journal of Fluid Mechanics**

Localised rotating convection induced by topography; **Physica D: Nonlinear Phenomena**

Long wavelength vortices in time-periodic flows; **Journal of the Australian Mathematical Society, Series B**

Long-wave/short-wave interactions in flow between concentric cylinders; **Journal of Fluid Mechanics**

Longitudinally inhomogeneous deformation patterns in isotropic tubes under pure bending; **Royal Society of London. Proceedings. Mathematical, Physical and Engineering Sciences**

Master-equation approach to the study of phase-change processes in data storage media; **Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)**

Models for gibberellic acid transport and enzyme production and transport in the aleurone layer of barley; **Journal of Theoretical Biology**

Neutral modes of a two-dimensional vortex and their link to persistent cat's eyes; **Physics of Fluids**

Neutrally stable wave motions in thermally stratified Poiseuille-Couette flow; **Journal of the Australian Mathematical Society, Series B**

New exact solutions of the discrete fourth Painlevé equation; **Physics Letters A**

New similarity solutions of the unsteady incompressible boundary-layer equations; **Quarterly Journal of Mechanics and Applied Mathematics**

Non-axisymmetric α2Ω-dynamo Waves in Thin Stellar Shells; **Geophysical and Astrophysical Fluid Dynamics**

Non-stationary cross-flow vortices in three-dimensional boundary-layer flows; **Proceedings of the Royal Society of London A**

Nonclassical symmetry reductions of the three-dimensional incompressible Navier-Stokes equations; **Journal of Physics A: Mathematical and General**

Nonlinear convection in the boundary layer above a sinusoidally heated flat plate; **Quarterly Journal of Mechanics and Applied Mathematics**

Nonlinear development of two-layer Couette-Poiseuille flow in the presence of surfactant; **Physics of Fluids**

Nonlinear equilibration of a dynamo in a smooth helical flow; **Journal of Fluid Mechanics**

Nonlinear high-wavenumber Bénard convection; **IMA Journal of Applied Mathematics**

Nonlinear instability of viscous modes in hypersonic flow past a wedge; **Quarterly Journal of Mechanics and Applied Mathematics**

Nonlinear wind-up in a strained planar vortex; **European Journal of Mechanics B - Fluids**

Numerical stability criteria for localized post-buckling solutions in a strut-on-foundation model; **Journal of Applied Mechanics**

Numerical studies of the fourth Painlevé equation; **IMA Journal of Applied Mathematics**

On a class of buckling problems in a singularly perturbed domain; **Quarterly Journal of Mechanics and Applied Mathematics**

On a Painlevé II model in steady electrolysis: application of a Bäcklund transformation; **Journal of Mathematical Analysis and Applications**

On Finite-amplitude Subcritical Instability in Narrow-gap Spherical Couette Flow; **Journal of Fluid Mechanics**

On the application of solutions of the fourth Painlevé equation to various physically motivated nonlinear partial differential equations; **Advances in Differential Equations**

On the effect of crossflow on nonlinear Görtler vortices in curved channel flows; **Quarterly Journal of Mechanics and Applied Mathematics**

On the Frontal Condition for Finite Amplitude α2Ω-dynamo Wave Trains in Stellar Shells; **Geophysical and Astrophysical Fluid Dynamics**

On the generation of mean flows by the interaction of Görtler vortices and Tollmien-Schlichting waves in curved channel flows; **Studies in Applied Mathematics**

On the instability of Görtler vortices to nonlinear travelling waves; **IMA Journal of Applied Mathematics**

On the Interaction of Görtler Vortices and Tollmien-Schlichting Waves in Boundary Layer Flows; **Instability, Transition, and Turbulence**

On the interaction of uni-directional and bi-directional buckling of a plate supported by an elastic foundation; **Proceedings of the Royal Society A**

On the linear stability of Stokes layers; **Philosophical Transactions of the Royal Society of London A**

On the nonlinear membrane approximation and edge-wrinkling; **International Journal of Solids and Structures**

On the role of in-plane compliance in edge wrinkling; **Journal of Elasticity**

On the wrinkling of a pre-stressed annular thin film in tension; **Journal of The Mechanics and Physics of Solids**

Onset of Darcy-Benard convection in an inclined layer heated from below; **Acta Mechanica**

Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics; **Journal of Theoretical Biology**

Predicted pollen dispersal by honey-bees and three species of bumble-bees foraging on oil-seed rape: a comparison of three models; **Functional Ecology**

Pulse-train solutions of a spatially-heterogeneous amplitude equation arising in the subcritical instability of narrow-gap spherical Couette flow; **Physica D - Nonlinear Phenomena**

Radial injection of a hot fluid into a cold porous medium: the effects of local thermal nonequilibrium; **Computational Thermal Sciences**

Receptivity mechanisms for Görtler vortex modes; **Theoretical and Computational Fluid Dynamics**

Restabilization in structures susceptible to localized buckling: An approximate method for the extended post-buckling regime; **Journal of Engineering Mathematics**

Similarity reductions and exact solutions for the two-dimensional incompressible Navier-Stokes equations; **Studies in Applied Mathematics**

Singular behaviour in a generalized boundary eigenvalue problem for annular plates in tension; **Quarterly Journal of Mechanics and Applied Mathematics**

Singularities and wrinkling: The case of a concentrated force; **International Journal of Engineering Science**

Solitary wave interaction phenomena in a strut buckling model incorporating restabilisation; **Physica D - Nonlinear Phenomena**

Some exact solutions for free convective flows over heated semi-infinite surfaces in porous media; **International Journal of Heat and Mass Transfer**

Stability of a time-periodic flow incorporating a simple model for noise; **IMA Journal of Applied Mathematics**

Stability of surfactant-laden core-annular flow and rod-annular flow to non-axisymmetric modes; **Journal of Fluid Mechanics**

Stability of the boundary layer on a rotating disk for power-law fluids; **Journal of Non-Newtonian Fluid Mechanics**

Stability of vertical thermal boundary-layer flow in a porous medium; **European Journal of Mechanics - B/Fluids**

Strongly nonlinear convection cells in a rapidly rotating fluid layer; **Geophysical and Astrophysical Fluid Dynamics**

Strongly nonlinear vortices in the Stokes layer on an oscillating cylinder; **Proceedings of the Royal Society of London A**

The asymptotics of neutral curve crossing in Taylor-Dean flow; **Zeitschrift Fuer Angewandte Mathematik Und Physik**

The Blasius boundary-layer flow of a micropolar fluid; **International Journal of Engineering Science**

The Dean instability for shear-thinning fluids; **Journal of Non-Newtonian Fluid Mechanics**

The effect of a normal electric field on wave propagation on a fluid film; **Physics of Fluids**

The effect of a piggyback cylinder on the flow characteristics in oscillatory flow; **Ocean Engineering**

The effect of crossflow on Taylor vortices; **Quarterly Journal of Mechanics and Applied Mathematics**

The effect of fine structure on the stability of planar vortices; **European Journal of Mechanics, B/Fluids**

The effect of suction on the nonlinear stability of a three-dimensional compressible boundary layer; **IMA Journal of Applied Mathematics**

The effect of surface stress on interfacial solitary wave propagation; **Quarterly Journal of Mechanics and Applied Mathematics**

The effect of viscosity on the stability of planar vortices with fine structure; **Quarterly Journal of Mechanics and Applied Mathematics**

The large-time asymptotic solution of the mKdV equation; **European Journal of Applied Mathematics**

The large-time solution of a nonlinear fourth-order equation initial-value problem I. Initial data with a discontinuous expansive step; **The ANZIAM Journal**

The linear impulse response for disturbances in an oscillatory Stokes layer; **IUTAM-ABCM Symposium on Laminar Turbulent Transition**

The linear impulse response for disturbances in an oscillatory Stokes layer; **11th International Conference on Numerical Analysis and Applied Mathematics 2013**

The linear stability of a Stokes layer subjected to high-frequency perturbations; **Journal of Fluid Mechanics**

The linear stability of a Stokes layer with an imposed axial magnetic field; **Journal of Fluid Mechanics**

The Linear Stability of Flat Stokes Layers; **Journal of Fluid Mechanics**

The Linear Stability of High-frequency Flow in a Torsionally Oscillating Cylinder; **Journal of Fluid Mechanics**

The Linear Stability of High-frequency Oscillatory Flow in a Channel; **Journal of Fluid Mechanics**

The linear stability of oscillating pipe flow; **Physics of Fluids**

The linear stability of oscillatory Poiseuille flow in channels and pipes; **Proceedings of the Royal Society of London A**

The linear vortex instability of flow induced by a horizontal heated surface in a porous medium; **Quarterly Journal of Mechanics and Applied Mathematics**

The linear vortex instability of the near-vertical line source plume in porous media; **Transport in Porous Media**

The linear wave instability of boundary layer flow induced by a horizontal heated surface in porous media; **International Communications in Heat and Mass Transfer**

The nonlinear interactions of convection modes in a box of a saturated porous medium; **Physica D: Nonlinear Phenomena**

The nonlinear non-parallel wave instability of boundary-layer flow induced by a horizontal heated surface in porous media; **Journal of Fluid Mechanics**

The nonparallel evolution of nonlinear short waves in buoyant boundary layers; **Studies in Applied Mathematics**

The onset of strongly localized thermal convection in rotating spherical shells; **Journal of Fluid Mechanics**

The onset of three-dimensionality and time-dependence in Görtler vortices: neutrally stable wavy modes; **Journal of Fluid Mechanics**

The receptivity problem for *O*(1) wavelength Görtler vortices; **Proceedings of the Royal Society A**

The Relaxation of Vorticity Fuctuations in Approximately Elliptical Streamlines; **Proceedings of the Royal Society A. Mathematical, Physical and Engineering Sciences**

The simultaneous onset and interaction of Taylor and Dean instabilities in a Couette geometry; **Journal of Physics: Conference Series**

The spiral wind-up and dissipation of vorticity and a passive scalar in a strained planar vortex; **Journal of Fluid Mechanics**

The spiral wind-up of vorticity in an inviscid planar vortex; **Journal of Fluid Mechanics**

The structure of highly nonlinear vortices in curved channel flow; **Proceedings Royal Society of London A**

The transverse magnetic reflectivity minimum of metals; **Optics Express**

Three-dimensional inviscid waves in buoyant boundary layer flows; **Fluid Dynamics Research**

Time-dependent inviscid vortices in three-dimensional boundary layers; **Quarterly Journal of Mechanics and Applied Mathematics**

Unfolding of homoclinic and heteroclinic behaviour in a multiply-symmetric strut buckling problem; **Quarterly Journal of Mechanics and Applied Mathematics**

Unsteady thermal boundary layer flows of a Bingham fluid in a porous medium; **International Journal of Heat and Mass Transfer**

Unsteady thermal boundary layer flows of a Bingham fluid in a porous medium following a sudden change in surface heat flux; **International Journal of Heat and Mass Transfer**

Upper-branch instability of flow in pipes of large aspect ratio with three-dimensional nonlinear viscous critical layers; **IMA Journal of Applied Mathematics**

Using surfactants to stabilize two-phase pipe flows of core-annular type; **Journal of Fluid Mechanics**

Vortex instabilities in three-dimensional boundary layers: the relationship between Görtler and crossflow vortices; **Journal of Fluid Mechanics**

Vortex Motion in a Weak Background Shear Flow; **Journal of Fluid Mechanics**

Water-table response to tidal forcing at sloping beaches; **Journal of Engineering Mathematics**

Weakly nonlinear convection in a porous layer with multiple horizontal partitions; **Transport in Porous Media**

Weakly nonlinear lower-branch stability of fully developed and developing free-surface flows; **IMA Journal of Applied Mathematics**

Weakly nonlinear stability of viscous vortices in three-dimensional boundary layers; **Journal of Fluid Mechanics**

Wrinkling of pre-stressed annular thin films under azimuthal shearing; **Mathematics and Mechanics of Solids**

## Research Projects

## Research Candidate Supervision