- School of Mathematical Sciences, Monash University, Victoria 3800, Australia

- Office: Room 326, Third floor, Building 28, Monash University Clayton campus
- TomTom: 37º 54' 33.73" S 145º 07' 53.07" E

- Phone and voicemail: +61 3 9905 4486
- Fax: +61 3 9905 4403
- E-mail: Michael.Page(at)monash.edu

- High-Reynolds-number flows and boundary-layer theory, including flow separation
- Geophysical fluid dynamics on an f- and beta-plane, especially at small Ekman numbers
- Diffusion-driven stratified flows
- Computational fluid dynamics
- Immersed interface methods for the solution of partial differential equations in irregular domains

- M.A. Page and E.R. Johnson (2008), "On steady linear diffusion-driven flow", J. Fluid Mech. 606, pp433-443 (doi: 10.1017/S002211200800178X).
- M.A. Page and E.R. Johnson (2009), "Steady nonlinear diffusion-driven flow", J. Fluid Mech. 629, pp299-309 (doi: 10.1017/S002211200900679X).
- M.A. Page (2010), "Propelled by diffusion", "News and Views", Nature Physics 6, pp486-487 (doi:10.1038/nphys1718).
- M.A. Page (2011), "Steady diffusion-driven flow in a tilted square container", Quart. J. Mech Appl. Math., 64, pp (doi:10.1093/qjmam/hbr007) Hi-res figures.
- M.A. Page (2011), "Combined diffusion-driven and convective flow in a tilted square container", Phys. Fluids. 23, 056602 (doi:10.1063/1.3582853).

One particular interest has been the examination and prediction of boundary-layer separation in Stewartson E

From this base, my research activities have developed into a number of other related areas of fluid dynamics, including both steady and unsteady boundary-layer motion at high Reynolds numbers (ranging from separated supersonic flows, to recirculation in curved-pipe flows, reattachment in incompressible flows and singularities which lead to eruption in unsteady boundary-layer flows), simple models of the ocean circulation (in particular in the western boundary layer) and the generation of ‘diffusion-driven’ flows in a contained density-stratified fluid. From the other end of the spectrum, I have also worked on the complex-valued equations that govern the motion of an inviscid vortex sheet, and in particular the development of finite-time singularities in that flow. My work makes extensive use of a wide range of techniques from computational fluid dynamics (including adapting finite-difference and finite-volume techniques, and developing novel methods for both free-streamline flows and conformal mapping) and I have written a variety of sophisticated computer programs for solving the Navier-Stokes or boundary-layer equations, as well as specialised codes for computer visualisation of the results (including animation, long before that was as easy to do as now).

- M.A. Page (1982), "A numerical study of detached shear layers in a rotating sliced cylinder", Geophys. Astrophys. Fluid Dyn. 22, pp51-69.
- M.A. Page (1982), "Flow separation in a rotating annulus with bottom topography", J. Fluid Mech. 123, pp303-313.
- M.A. Page and N. Riley (1985), "The free interaction in a supersonic flow over a porous wall", Quart. J. Mech. Appl. Math. 38, pp79-92.
- M.A. Page (1987), "Separation and free-streamline flows in rotating fluids at low Rossby numbers", J. Fluid Mech. 179, pp155-177.
- M.A. Page and S.J. Cowley (1988), "On the rotating-fluid flow near the rear stagnation point of a circular cylinder", J. Fluid Mech. 194, pp79-99.
- A. Becker and M.A. Page (1990), "Flow separation and unsteadiness in a rotating-sliced cylinder", Geophys. Astrophys. Fluid Dyn. 55, pp89-115.
- M.A. Page and M.D. Eabry (1990), "On the breakdown of jets in a low-Rossby number rotating fluid", J. Eng. Math. 24, pp287-310.
- E.R. Johnson and M.A. Page (1993), "Flow past a circular cylinder on a beta plane", J. Fluid Mech. 251, pp603-626.
- J.R. Stocker, P.W. Duck and M.A. Page (1997), "On the unsteady low-Rossby number flow of a rotating fluid past a circular cylinder", Phys. Fluids 9, pp600-614.
- P. Blanchonette and M.A. Page (1998), "Boundary-layer separation in the two-layer flow past a cylinder in a rotating frame", Theoret. Comput. Fluid Dynamics 2, pp95-108.
- M.A. Page and E.R. Johnson (2000), "Wavefields forced by long obstacles on a beta-plane", J. Fluid Mech. 406, pp221-245.

- ENG1090 Foundation Mathematics (for engineering students)
- MTH3011 Partial Differential Equations (for third-year mathematics students)

- M4401 Introduction to Honours Computing (module on MATLAB)
- Outline of some possible honours projects for 2013

If you are interested in undertaking studies towards a PhD under my supervision, some possible areas for research projects might include:

- The dynamics of rotating fluids - especially for geophysical applications on an f- and beta-plane;
- High-Reynolds-number flows, boundary-layer theory and flow separation;
- Diffusive-driven flows in a viscous stratified fluid;
- Singular perturbation theory and asymptotic expansions;
- Computational fluid dynamics - mostly based on careful finite-difference approximation, as opposed to using packages;
- Immersed interface methods for the numerical solution of partial differential equations, including for flexible membranes and for wave propagation.

- graduated with a BSc (Hons) in mathematics from the University of Western Australia in 1978, and PhD in mathematics from University College London (part of the University of London) in 1981;
- completed a three-year term as Head of the Department of Mathematics and Statistics at Monash University (now the School of Mathematical Sciences) from 1998-2000;
- lead significant changes to the undergraduate mathematics curriculum at Monash University as the Director of Undergraduate Studies in the Department of Mathematics and Statistics from 1997-2000;
- was Associate Dean (Teaching) in the Faculty of Science at Monash University from 2001-2004, and Deputy Dean 2002-2003;
- am Director of Undergraduate Studies in the School of Mathematical Sciences, from 2012;
- am a member of the Executive of the Victorian Branch of ANZIAM;
- am an elected member of the Academic Board at Monash University.

Last
updated: 20 December 2012