WIAS Preprint No. 1930, (2014)
On the Cahn--Hilliard equation with dynamic boundary conditions and a dominating boundary potential
- Colli, Pierluigi
- Gilardi, Gianni
- Sprekels, Jürgen
2010 Mathematics Subject Classification
- 35K55 35K50 82C26
- Cahn--Hilliard equation, dynamic boundary conditions, phase separation, irregular potentials, well-posedness
The Cahn--Hilliard and viscous Cahn--Hilliard equations with singular and possibly nonsmooth potentials and dynamic boundary condition are considered and some well-posedness and regularity results are proved.
- J. Math. Anal. Appl., 419 (2014) pp. 972--994.