Interface Evolution in Three Dimensions¶with Curvature-Dependent Energy¶and Surface Diffusion:¶Interface-Controlled Evolution, Phase Transitions, Epitaxial Growth of Elastic Films

By M. Gurtin, M. Jabbour. 2002

136 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/de02cc65061584775b2955590c7e1b03943d241d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Martin Burger
2. Stanley J. Osher
3. Steven M. Wise
4. Axel Voigt
5. John S. Lowengrub
6. Solmaz Torabi
7. James A. McCoy
8. Junseok Kim

In Computational Theory and Mathematics

1. Steven M. Wise
2. Martin Burger
3. Axel Voigt
4. Stanley J. Osher
5. John S. Lowengrub
6. Solmaz Torabi
7. James A. McCoy
8. Charles M. Elliott

In Materials Chemistry

1. Steven M. Wise
2. Axel Voigt
3. Stanley J. Osher
4. John S. Lowengrub
5. Solmaz Torabi
6. James A. McCoy
7. Junseok Kim
8. Cheng Wang

Citations in the corpus

• A new phase-field model for strongly anisotropic systems (2009, methodology): “This method does not reproduce equation (1.2) in the sharp-interface limit, and it also modifies the physics by suppressing the nucleation of new facets if the film is started with an orientation within the nonconvex region (see Gurtin & Jabbour 2002; Fried & Gurtin 2004).”
• Mixed volume preserving curvature flows (2005, methodology): “The interested reader is referred to the works of Giga and Goto ([GG]) and Gurtin and Jabbour ([ GJ ]) for practical applications.”
• A survey on level set methods for inverse problems and optimal design (2005, background): “Another possibility to choose a regularization functional is to use a curvature-dependent energy [62, 63] of the form R(Ω) = ∫”