The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of a weak solution and its continuous dependence on the data are proved using a suitable setting for the conservation of a total mass in the bulk plus the boundary. A very general class of double-well like potentials is allowed. Moreover, some further regularity is obtained to guarantee the strong solution.
Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
P Colli;
2015
Abstract
The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of a weak solution and its continuous dependence on the data are proved using a suitable setting for the conservation of a total mass in the bulk plus the boundary. A very general class of double-well like potentials is allowed. Moreover, some further regularity is obtained to guarantee the strong solution.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_430108-doc_153580.pdf
accesso aperto
Descrizione: Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
Tipologia:
Versione Editoriale (PDF)
Dimensione
295.15 kB
Formato
Adobe PDF
|
295.15 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
