## Web Access Research Portal

# Researcher: Bassom, A (Professor Andrew Bassom)

## Fields of Research

Theoretical and Applied Mechanics

Seismology and Seismic Exploration

Applied Mathematics

Education

Optical Physics

Community Ecology

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Glaciology

## Research Objectives

Expanding Knowledge in the Mathematical Sciences

Expanding Knowledge in the Earth Sciences

Education and Training

Expanding Knowledge in the Biological Sciences

Effects of Climate Change and Variability on Antarctic and Sub-Antarctic Environments (excl. Social Impacts)

## 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**

Accurate approximations for planetary and gravity waves in a polar basin; **Tellus, Series A: Dynamic Meteorology and Oceanography**

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**

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**

Delineation of fault segments in mines using seismic sourcemechanisms and location uncertainty; **Journal of Applied Geophysics**

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**

Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads; **Mathematics and Mechanics 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: a special case; **Journal of Engineering Mathematics**

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

Interfacial behaviour in two-fluid taylor-couette flow; **Quarterly Journal of Mechanics and 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-time solutions of scalar nonlinear hyperbolic reaction equations incorporating relaxation I. The reaction function is a bistable cubic polynomial; **Journal of Differential Equations**

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**

Modified Rayleigh-Benard convection driven by long-wavelength heating from above and below; **Theoretical and Computational Fluid Dynamics**

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 complex-valued solutions of Painlevé IV: An application to the nonlinear Schrödinger equation; **Applied Mathematics Letters**

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 integrable Ermakov-Painlevé IV systems; **Journal of Mathematical Analysis and Applications**

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 mathematical structure of Eigen-deformations in a Föppl-von Kàrmàn Bifurcation system; **Journal of Elasticity**

On the neutral stability curve for shallow conical shells subjected to lateral pressure; **Mathematics and Mechanics of Solids**

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 internal and external heating on the free convective flow of a Bingham fluid in a vertical porous channel; **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 inclined Wooding problem; **Transport in Porous Media**

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**

Truck safety barriers for mining sites; **ANZIAM Journal**

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

Unsteady free convection boundary layer flows of a Bingham fluid in cylindrical porous cavities; **Transport in Porous Media**

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**

Wrinkling structures at the rim of an initially stretched circular thin plate subjected to transverse pressure; **SIAM Journal on Applied Mathematics**

## Research Projects

Towards an early warning of Antarctic ice sheet collapse from seismology; **Australian Research Council (ARC)**

ERA 2018/2019 REC Member: Professor Andrew Bassom

## Research Candidate Supervision