The Cahn-Hilliard Equation with Logarithmic Potentials

By Laurence Cherfils, Alain Miranville, Sergey Zelik. 2011

233 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Theory and Mathematics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/1b1beb833aaab7f33b4b6b4acb578db4e3f1f910

How researchers see this paper

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

In Atmospheric Science

1. Jie Shen
2. Tao Tang
3. Jiang Yang
4. Changchun Liu
5. Xiaopeng Zhao
6. Ciprian G. Gal
7. Hao Wu
8. Maurizio Grasselli

In Computational Theory and Mathematics

1. Hao Wu
2. Jiang Yang
3. Tao Tang
4. Maurizio Grasselli
5. Changchun Liu
6. Xiaopeng Zhao
7. Ciprian G. Gal
8. Jie Shen

In Materials Chemistry

1. Hao Wu
2. Jiang Yang
3. Jie Shen
4. Tao Tang
5. Changchun Liu
6. Xiaopeng Zhao
7. Maurizio Grasselli
8. Ciprian G. Gal

Citations in the corpus

• Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations (2015, unknown): “, [13, 28] for a comprehensive bibliography).”
• Optimal Control for the Convective Cahn–Hilliard Equation in 2D Case (2014, methodology): “[18] investigated the Cahn–Hilliard equation in phase separation with the thermodynamically relevant logarithmic potentials; Gilardi et al.”
• On a generalized Cahn-Hilliard equation with biological applications (2014, unknown): “, [2], [3], [5], [9], [16], [17], [18], [19], [23] and [24] for more details.”
• A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions (2021, background): “A lot of attentions have been paid to the problem (1.1)–(1.4) with a constant mobility M > 0 and a singular potential F including the typical ones (2.2) and (2.4), see [27,41,58] for some surveys on this topic.”
• On the maximum principle preserving schemes for the generalized Allen–Cahn equation (2016, background): “More details about the latter one can be found in [3, 4].”
• The nonlocal Cahn–Hilliard equation with singular potential: Well-posedness, regularity and strict separation property (2017, background): “1) with constant mobility can be found in [16].”
• Longtime behavior of nonlocal Cahn-Hilliard equations (2012, background): “iard equation was proposed in [7] as a model for (isothermal) phase separation phenomena in binary alloys. Since then it was analyzed by many authors and used in several different contexts (see, e.g., [9, 40] and references therein). The basic form of such an equation is the following (1.1) ∂tϕ= ∇ ·[”