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Nonlinear Mathematics and its Applications Philip J. Aston (University of Surrey)

Nonlinear Mathematics and its Applications By Philip J. Aston (University of Surrey)

Nonlinear Mathematics and its Applications by Philip J. Aston (University of Surrey)


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Summary

Collected here are lectures on nonlinear applied mathematics given by a team of internationally distinguished scientists. The courses, all edited to form a coherent whole, deal mainly with nonlinear dynamics applied to fluid mechanics, boundary layer transition, driven oscillators and waves, nonlinear elasticity and mathematical biology.

Nonlinear Mathematics and its Applications Summary

Nonlinear Mathematics and its Applications: Proceedings of the EPSRC Postgraduate Spring School in Applied Nonlinear Mathematics, University of Surrey, 1995 by Philip J. Aston (University of Surrey)

At the University of Surrey in 1995 an EPSRC Spring School was held in Applied Nonlinear Mathematics for postgraduate students in mathematics, engineering, physics or biology; this volume contains the bulk of the lectures given there, by a team of internationally distinguished scientists. The aim of the school was to introduce students to current topics of research interest at an appropriate level. The majority of the courses are in the area of nonlinear dynamics with application to fluid mechanics, boundary layer transition, driven oscillators and waves. However, there are also lectures considering problems in nonlinear elasticity and mathematical biology. The articles have all been edited so that the book forms a coherent and accessible account of recent advances in nonlinear mathematics.

Nonlinear Mathematics and its Applications Reviews

' a coherent account of recent research in these areas, thus making this volume an ideal introduction into a variety of research fields.' L'Enseignement Mathematique
'The book has become a fascinating collection setting a very high standard.' Jaap Molenaar, ITW Nieuws

Table of Contents

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.

Additional information

NPB9780521571906
9780521571906
0521571901
Nonlinear Mathematics and its Applications: Proceedings of the EPSRC Postgraduate Spring School in Applied Nonlinear Mathematics, University of Surrey, 1995 by Philip J. Aston (University of Surrey)
New
Hardback
Cambridge University Press
1996-06-28
268
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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