A phase field formulation of the Willmore problem

By Qiang Du, Chun Liu, R. Ryham, Xiaoqiang Wang. 2005

175 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/c5d38c30d133e7c85b427db293e7f34ccbdf3946

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. Xiaofeng Yang
2. Steven M. Wise
3. Axel Voigt
4. Lili Ju
5. Ciprian G. Gal
6. John S. Lowengrub
7. Solmaz Torabi
8. Maurizio Grasselli

In Computational Theory and Mathematics

1. Xiaofeng Yang
2. Steven M. Wise
3. Maurizio Grasselli
4. Lili Ju
5. Axel Voigt
6. Ciprian G. Gal
7. John S. Lowengrub
8. Solmaz Torabi

In Materials Chemistry

1. Xiaofeng Yang
2. Steven M. Wise
3. Axel Voigt
4. Lili Ju
5. Maurizio Grasselli
6. Ciprian G. Gal
7. John S. Lowengrub
8. Solmaz Torabi

Citations in the corpus

• A new phase-field model for strongly anisotropic systems (2009, methodology): “01 (dashed curve) and 0.0025 (solid curve), following Spencer (2004). S.”
• Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model (2017, methodology): “Meanwhile, through asymptotic analysis, the consistency between the phase field formulation and the original sharp interface problem (Willmore flow) has been established in [27,28].”
• Trajectory attractors for binary fluid mixtures in 3D (2010, methodology): “In related contexts there have also been considered models in which the Cahn-Hilliard equation is replaced by the (convective) Allen-Cahn equation (see, e.g., [9, 25 , 26, 29, 63, 67]) or, in the case of liquid crystals, by the convective Ginzburg-Landau equation (see [43], also [22, 23, 44, 47] an”