| 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 |
