Introductory Incompressible Fluid Mechanics

Frank H. Berkshire is currently Principal Teaching Fellow in Dynamics in the Department of Mathematics at Imperial College London, where he has been a member of the Academic Staff since 1970-latterly for twenty-five years as Director of Undergraduate Studies until formal 'retirement' in 2011. He has long-term experience of delivering lecture courses and projects, and has received awards for teaching excellence. He has promoted Mathematics extensively in the UK and overseas, and is co-author with Tom Kibble of the textbook Classical Mechanics (1996 and 2004). His research interests are in theoretical and practical dynamics, with wide application in e.g. waves, vortices, planetary motion, chaos, sport and gambling. Simon J. A. Malham is Associate Professor of Mathematics at Heriot-Watt University. After obtaining his Ph.D. from Imperial College London in 1993, he was a Visiting Assistant Professor at the University of Arizona (1993–6), a temporary lecturer at the University of Nottingham (1996–8) and Imperial (1998–2000), before joining Heriot-Watt as a lecturer in 2000. His research interests include Navier-Stokes regularity, the stability of nonlinear travelling fronts, computational spectral theory, the optimal simulation of stochastic differential equations including Lie group methods, Hopf algebra analysis and almost-exact methods, Grassmannian flows and the representation and integrability of non-commutative local and nonlocal nonlinear partial differential systems. J. Trevor Stuart is Professor Emeritus in the Department of Mathematics at Imperial College London. After obtaining his Ph.D. from Imperial in 1951, he worked at the National Physical Laboratory in the Aerodynamics Division from 1951 to 1966, before joining the Mathematics Department at Imperial in 1966. He retired in 1994. Professor Stuart was a Visiting Professor at MIT in 1956–7 and 1965–6, as well as at Brown University in 1988–9. He became a Fellow of the Royal Society (FRS) in 1974 and was awarded the Otto Laporte Award from the American Physical Society in 1985 as well as the Senior Whitehead Prize from the London Mathematical Society in 1984. He holds honorary Doctor of Science degrees from Brown University and the University of East Anglia.

Preface; Introduction; Part I. Inviscid Flow: 1. Flow and transport; 2. Ideal fluid flow; 3. Two-dimensional irrotational flow; Part 2. Viscous Flow: 4. Navier–Stokes flow; 5. Low Reynolds number flow; 6. Bounday layer theory; 7. Navier–Stokes regularity; Appendix; Bibliography; Index.