Fernando Viera

Penrose tiling Honorary Associate in the School of Mathematics and Statistics at the University of Sydney.

Postal address:	Dr Fernando Viera School of Mathematics and Statistics F07 University of Sydney NSW 2006 Australia
Office:	Room 527 Carslaw Building
Email:	`fernando@maths.usyd.edu.au`
Phone:	+61 2 9351 2108
FAX:	+61 2 9351 4534

Research Interests

My research interests are in the area of Fluid Dynamics, in particular nonlinear vortex dynamics in the context of geostrophic vortex flow in density stratified fluids.

Recently, I have become interested in Hamiltonian systems applied to Geodesic Flow in a manifold as a Liouville Integrable System.

Subjects taught recently

MATH2061 Vector Calculus component (Standard)
MATH2065 Introduction to PDEs (Standard - Summer School)
MATH2965 Introduction to PDEs (Advanced)
MATH1011 Applications of Calculus (Standard)
MATH3078/3978 PDEs and Waves (Combined standard/advanced)

MATH3078/3978

Scanned Lecture Notes - 11/AUG/2015

MATH2965 -- Scanned Lecture Notes

Publications

F. Viera, A high order algorithm for ordinary boundary value problems, Anziam Journal 48 (2008) c991-c1005.
F. Viera, On approximate closed form solutions of linear ordinary differential equations, Anziam Journal 47 (2006) c245-c260.
V.T. Buchwald and F. Viera, Linearized evaporation from a soil of finite depth above a water table, J. Aust. Math. Soc. Ser B 39, No 4 (1998) 557-576.
V.T. Buchwald and F. Viera, Linearized evaporation from a soil of finite depth near a wetted region, Quart. J. Mech. Appl. Math. 49, No 1 (1996) 49-64.
F. Viera, On the alignment and axisymmetrization of a vertically tilted geostrophic vortex, J. Fluid Mech. 289 (1995) 29-50.
F. Viera, The evolution of cylindrical geostrophic vortices, Proceedings, Computational Techniques and Applications: CTAC-93 World Scientific, Singapore (1994).
F. Viera, Boundary Surface Dynamics: an algorithm for stratified geostrophic flows, J. Comput. Phys. 111 (1994) 336-346.
F. Viera and R. Grimshaw, Topographic forcing of mesoscale phenomena: Filamentation, vortex formation and eddy detachment, J. Phys. Oceanogr. 24 (1994) 1433-1448.
V.T. Buchwald and F. Viera, The diffraction of Coastal Trapped Waves by a strait, Geophys, Astrophys, Fluid Dyn. 72 (1993) 1-34.
F. Viera, Scattering of long divergent shelf waves by a thin barrier parallel to the coast, J. Phys. Oceanogr., 22 (1992) 944-950.
J. Middleton and F. Viera, The forcing of low frequency motions within Bass Strait, J. Phys. Oceanogr. 21 (1991) 695-708.
F. Viera and V.T. Buchwald, The generation of surface waves by an intense cyclone, J. Aust. Math. Soc., Ser B, 25 (1983) p64.
F. Viera and V.T. Buchwald, The response of the East Australian continental shelf to a travelling pressure disturbance, Geophys, Astrophys, Fluid Dyn. 19 (1982) p249.