**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

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Fluid flow is governed by complicated nonlinear systems of partial differential equations. In many situations of interest the flow spans a huge range of length scales, with the nonlinearity of the governing equations resulting in the transfer of energy from one length scale to another. Because of this complexity, the field of fluid mechanics has been the birth place of many important ideas in mathematics. It continues to stimulate work in areas such as partial differential equations, asymptotics and perturbation theory, computational methods, and nonlinear waves, including solitons, instability theory, chaos, and stochastic processes.

Research in fluid mechanics spans the spectrum of applied mathematics, and graduate students in this field develop skills in a broad range of areas, including mathematical modelling, analysis, computational mathematics, as well as physical intuition. These skills are interconnected, and hence form a marketable whole for graduating students, because the development of appropriate numerical methods and the set-up and interpretation of numerical simulations hinges on the use of theoretical models of varying complexity, as well as judicious application of the scientific method. Within the field of fluid dynamics there is something for students of all interests, from theoretical problems such as the Clay Institute Millennium Prize for proving existence, uniqueness and regularity for the Navier-Stokes equations to applications in the areas of atmosphere, ocean and climate dynamics, astrophysical problems such as stellar wind dynamics, and the dynamics of shock waves. Research projects range from the development of simple models used to understand aspects of complicated physical processes, to the use of advanced theoretical and numerical methods.

The regular faculty whose primary research area is Fluid Mechanics are:

- Kevin Lamb (nonlinear waves, internal waves, hydrodynamic instabilities and mixing, computational fluid dynamics, physical oceanography and limnology, coupling of hydrodynamic and bio-geochemical processes in lakes)
- Francis Poulin (hydrodynamic instabilities, Rossby waves, vortices, physical and biological oceanography)
- Henry Shum (biological fluid dynamics, swimming microorganisms, microscale flows)
- Marek Stastna (internal waves and solitary waves, computational fluid dynamics, bottom boundary layers, porous media, swimming organisms)
- Michael Waite (turbulence in rotating stratified fluids, vortices, internal waves, mesoscale atmospheric dynamics, moist convection)

Cross-appointed faculty:

- Chris Fletcher (atmosphere and climate dynamics)
- Serge D'Alessio (computational and geophysical fluid mechanics)
- Christine Dow (glacier hydrology and ice dynamics)
- Andrea Scott (turbulence modelling, data assimilation, sea and lake ice)

Faculty with related interests:

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.