On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
By Gianni Gilardi, Alain Miranville, Giulio Schimperna. 2009
155 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/7728e751ef725e77b83c02333af6eb7d8ba4eb6d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Hao Wu
- Alain Miranville
- Pierluigi Colli
- Sergey Zelik
- Gianni Gilardi
- Laurence Cherfils
- Jürgen Sprekels
- Giulio Schimperna
In Computational Theory and Mathematics
- Hao Wu
- Alain Miranville
- Laurence Cherfils
- Sergey Zelik
- Pierluigi Colli
- Gianni Gilardi
- Giulio Schimperna
- Jürgen Sprekels
In Materials Chemistry
- Hao Wu
- Alain Miranville
- Laurence Cherfils
- Sergey Zelik
- Gianni Gilardi
- Pierluigi Colli
- Giulio Schimperna
- Jürgen Sprekels
Citations in the corpus
- Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions (2010, methodology): “A similar and very general result is obtained in [18].”
- A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions (2021, methodology): “This property can be guaranteed if either the sign condition as in [113] holds or the singularity of the bulk potential F is strong enough (unfortunately, it is not satisfied by the logarithmic one (2.2)).”
- On the Cahn–Hilliard equation with dynamic boundary conditions and a dominating boundary potential (2014, methodology): “11) and note that, roughly speaking, it is opposite to the one postulated in [13].”
- The Cahn-Hilliard Equation with Logarithmic Potentials (2011, methodology): “The first proof of existence of weak energy solutions to the Cahn-Hilliard equation with singular (and, in particular, logarithmic) potentials and dynamic boundary conditions is given in [118], assuming that the (regular) surface nonlinearity g has the right sign at the singular points of the bulk n”
- Optimal Control for the Convective Cahn–Hilliard Equation in 2D Case (2014, background): “[19] considered the Cahn–Hilliard equation with dynamic boundary conditions; Yin et al.”
- A NUMERICAL ANALYSIS OF THE CAHN-HILLIARD EQUATION WITH DYNAMIC BOUNDARY CONDITIONS (2010, background): “Note that the existence and uniqueness of energy solutions to (10)-(11) has been obtained with more general assumptions on the nonlinearities in [12].”