Interfacial Wave Theory of Pattern Formation in Solidification

1. Introduction
Jian-Jun Xu

2. Unidirectional Solidification and Mullins–Sekerka Instability
Jian-Jun Xu

3. Mathematical Formulation of Free Dendritic Growth from a Pure Melt
Jian-Jun Xu

4. Basic Steady State of Axisymmetric Dendritic Growth and Its Regular Perturbation Expansion
Jian-Jun Xu

5. The Steady State for Dendritic Growth with Nonzero Surface Tension
Jian-Jun Xu

6. Global Interfacial Wave Instability of Dendritic Growth from a Pure Melt
Jian-Jun Xu

7. Free Dendritic Growth with Anisotropy
Jian-Jun Xu

8. Three Dimensional Dendritic Growth from an Undercooled Binary Mixture
Jian-Jun Xu

9. Viscous Fingering in a Hele–Shaw Cell
Jian-Jun Xu

10. Spatially Periodic Deep-Cellular Growth
Jian-Jun Xu

11. Lamellar Eutectic Growth
Jian-Jun Xu

Keywords: Physics, Soft and Granular Matter, Complex Fluids and Microfluidics, Industrial Chemistry/Chemical Engineering, Surfaces and Interfaces, Thin Films, Applications of Nonlinear Dynamics and Chaos Theory, Engineering Fluid Dynamics