Nonlinear Mathematics and its Applications: Proceedings of the EPSRC Postgraduate Spring School in Applied Nonlinear Mathematics, University of Surrey, 1995

ISBN-13: 9780521576765 / Angielski / Miękka / 1996 / 266 str.

Philip J. Aston (University of Surrey)

Opis

The papers in this volume address current topics of research in nonlinear mathematics, including nonlinear dynamics with application to fluid mechanics, boundary layer transition, driven oscillators and waves. There are also papers on problems in nonlinear elasticity and mathematical biology. The book forms a coherent and accessible account of recent advances in nonlinear mathematics for students in applied mathematics, physics, and engineering.

Recenzje

'The book has become a fascinating collection setting a very high standard.' Jaap Molenaar, ITW Nieuws

Spis treści

1. Introduction P. Aston; 2. Global dynamics of driven oscillators J. M. T. Thompson; 3. Global perturbation methods, orbits homoclinic to resonances, and applications S. Wiggins; 4. Nonlinear elasticity and materials science: a survey of recent developments J. M. Ball; 5. Ladder methods for the 2 and 3-dimensional incompressible Navier-Stokes equations J. D. Gibbon; 6. Nonlinear mathematics in practice: steady bifurcation phenomena, low dimensional dynamics and chaos T. Mullin; 7. Weak and strong nonlinearity in boundary layer transition F. T. Smith; 8. Instability of waves T. J. Bridges; 9. Grazing bifurcations in discontinuous dynamical systems C. J. Budd; 10. Tumour growth and angiogenesis: a case study in mathematical biology B. D. Sleeman.