Nonlinear mathematics and its applications

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Nonlinear mathematics and its applications

edited by Philip J. Aston

Cambridge University, 1996

  • : hard
  • : pbk

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内容説明・目次

内容説明

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.

目次

  • 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.

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