Modeling and numerical simulations of dendritic crystal growth

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.9K citations · Full text

Computing, Computer Science, Computational Geometry +8

Instabilities and pattern formation in crystal growth

J. S. Langer · Reviews of Modern Physics · 1980 · 2.6K citations

Engineering, Physics, Pattern Formation +16

The approach of solutions of nonlinear diffusion equations to travelling front solutions

Paul C. Fife, J. B. McLeod · Archive for Rational Mechanics and Analysis · 1977 · 1.2K citations

Natural Sciences, Mathematics, Physics +14

Principles of solidification

Vacuum · 1965 · 1.1K citations

Engineering, Materials Engineering, Materials Science +17

An analysis of a phase field model of a free boundary

Gunduz Caginalp · Archive for Rational Mechanics and Analysis · 1986 · 786 citations

Natural Sciences, Mathematics, Physics +11