Nonlinear Dynamics of Surface-Tension-Driven Instabilities : Forew. by I. Prigogine （2001. XV, 512 p. w. 189 figs. 24,5 cm）

Nonlinear Dynamics of Surface-Tension-Driven Instabilities : Forew. by I. Prigogine （2001. XV, 512 p. w. 189 figs. 24,5 cm）

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  • 製本 Hardcover:ハードカバー版／ページ数 500 p.
  • 商品コード 9783527402915

Full Description


This book provides the reader with a progressive and complete insight into a vast field of nonlinear phyiscs. While the introductory first chapter describes nonlinear dissipative structures at a general level in fluid mechanics as well as in other fields, the second chapter contains a summary of the derivation of basic equations, with emphasis on boundary conditions prevailing at interfaces. Chapter 3 is devoted to linear stability analyses and identification of basic instability modes. The weakly nonlinear theories are presented in Chapter 4 (monotonic instabilities), Chapter 5 (oscillatory instabilities) and Chapter 6 (multiple bifurcations). Finally, results on strongly nonlinear surface-tension-driven convection and transitions to interfacial turbulence are contained in Chapter 7.

Contents

Balance equations and boundary conditions; instability modes in Benard systems; weakly nonlinear pattern dynamics; weakly nonlinear waves; codimension-two bifurcations; strongly nonlinear and turbulent regimes.