Foreword |
Preface |
Introduction / Part I.: |
Examples of Interface Propagation / 1.: |
Interface Propagation Considered as a Dynamical System / 1.2.: |
Time-Dependent Interface Shapes / 1.3.: |
The Saffman-Taylor Finger / 2.: |
Model for the Interface Propagation / 2.1.: |
The Problem Without Surface Tension / 2.2.: |
Effects of Surface Tension / 2.3.: |
Comparison with Experiments and Numerical Simulations / 2.4.: |
Stationary Shapes of a Needle Crystal Growing from a Supercooled Liquid / 3.: |
The Model of Growth / 3.1.: |
Comparison with Experiments / 3.2.: |
Analogy Between Saffman-Taylor Finger and Dendrite / 3.5.: |
Stationary Shapes of a Curved Flame Propagating in a Channel / 4.: |
A Model for Flame Propagation / 4.1.: |
The Inviscid Problem / 4.2.: |
Effect of the Acceleration of Gravity / 4.3.: |
Effects of Flame Thickness / 4.4.: |
Analogy Between Saffman-Taylor Finger and Retrocombustion Front / 4.5.: |
Stability of Curved Fronts / 5.: |
Experimental Observations / 5.1.: |
Qualitative Theory for the Problem of Stability / 5.2.: |
Linear Stability Analysis / 5.3.: |
Conclusion |
References |
Collected Papers / Part II.: |
Planar Front Propagation |
Study of the Diffusion Equation with Growth of the Quantity of Matter and its Application to a Biology Problem / A. N. Kolmogorov ; I. G. Petrovskii ; N. S. Piskunov (1937) |
A Theory of Thermal Propagation of Flame / Ya. B. Zel'dovich ; D. A. Frank-Kamenetzki (1938) |
Dragging of a Liquid by a Moving Plate |
Saffman-Taylor Finger / L. Landau ; B. Levich (1942) |
The Penetration of a Fluid into a Porous Medium or Hele-Shaw Cell Containing a More Viscous Liquid / P. G. Saffman ; G. I. Taylor (1958) |
The Effect of Surface Tension on the Shape of Fingers in a Hele-Shaw Cell / J. W. McLean ; P. G. Saffman (1981) |
Fingers in a Hele-Shaw Cell with Surface Tension / J.-M. Vanden-Broeck (1983) |
Shape Selections of Saffman-Taylor Fingers / R. Combescot ; T. Dombre ; V. Hakim ; Y. Pomeau ; A. Pumir (1986) |
Singularities in Nonlocal Interface Dynamics / B. Shraiman ; D. Bensimon (1984) |
A Boundary-Integral Method for Two-Phase Displacement in Hele-Shaw Cells / A. J. DeGregoria ; L. W. Schwartz (1986) |
An Experimental Study of the Saffman-Taylor Instability / P. Tabeling ; G. Zocchi ; A. Libchaber (1987) |
Narrow Fingers in the Saffman-Taylor Instability / Y. Couder ; N. Gerard ; M. Rabaud (1986) |
Experimental Demonstration of the Role of Anisotropy in Interfacial Pattern Formation / E. Ben-Jacob ; R. Godbey ; N. D. Goldenfeld ; J. Koplik ; H. Levine ; T. Mueller ; L. M. Sander (1985) |
Dendrites |
Temperature Field Around a Spherical, Cylindrical and Acicular Crystal Growing in a Supercooled Melt / G. P. Ivantsov (1947) |
Fundamentals of Dendritic Solidification |
Steady-State Tip Growth / S.-C. Huang ; M. E. Glicksman (1981)I.: |
Development of Sidebranch Structure / II.: |
Theory of Dendritic Growth |
Elements of a Stability Analysis / J. S. Langer ; H. Muller-Krumbhaar (1978) |
Instabilities in the Limit of Vanishing Surface Tension |
Geometrical Approach to Moving-Interface Dynamics / H. Muller-Krumbhaar ; J. S. Langer (1978) ; R. C. Brower ; D. A. Kessler ; H. Levine (1983)III.: |
Geometric Models of Interface Evolution. III. Theory of Dendritic Growth / H. Levine (1985) |
Existence of Needle Crystals in Local Models of Solidification / J. S. Langer (1986) |
Dendrites in the Small Undercooling Limit / P. Pelce ; Y. Pomeau (1986) |
Development of Side Branching in Dendritic Crystal Growth / A. Dougherty ; P. D. Kaplan ; J. P. Gollub (1987) |
Directional Solidification |
Stability of a Planar Interface During Solidification of a Dilute Binary Alloy / W. W. Mullins ; R. F. Sekerka (1964) |
Interdendritic Spacing: Part II. A Comparison of Theory and Experiment / R. Trivedi (1984) |
Testing Shape Selection in Directional Solidification / J. Bechhoefer |
Lamellar and Rod Eutectic Growth / K. A. Jackson ; J. D. Hunt (1966) |
Raising Bubbles |
The Mechanics of Large Bubbles Rising Through Extended Liquids and Through Liquids in Tubes / R. M. Davies ; G. Taylor (1950) |
On Steady-State Bubbles Generated by Taylor Instability / P. R. Garabedian (1957) |
Premixed Flames |
On the Theory of Slow Combustion / L. Landau (1944) |
Experimental and Theoretical Studies of Flame-Front Stability / G. H. Markstein (1951) |
Influence of Hydrodynamics and Diffusion upon the Stability Limits of Laminar Premixed Flames / P. Clavin (1982) |
Stability Limits and Critical Size of Structures in Premixed Flames / J. Quinard ; G. Searby ; L. Boyer (1985) |
Nonlinear Analysis of Hydrodynamic Instability in Laminar Flames--I. Derivation of Basic Equations / G. I. Sivashinsky (1977) |
Application of Pole Decomposition to an Equation Governing the Dynamics of Wrinkled Flame Fronts / O. Thual ; U. Frisch ; M. Henon (1985) |
Flame Propagation in Tubes: Hydrodynamics and Stability / A. G. Istratov ; N. I. Kidin ; V. B. Librovich (1980) |
Index |
Foreword |
Preface |
Introduction / Part I.: |
Examples of Interface Propagation / 1.: |
Interface Propagation Considered as a Dynamical System / 1.2.: |
Time-Dependent Interface Shapes / 1.3.: |