| Abstract: |
| We will present some mathematical results for a Cahn-Hilliard-Darcy system complemented with dynamic boundary conditions of Cahn-Hilliard type: namely, we wiill assume that the trace of the bulk order parameter also satisfies a suitable fourth order evolutionary equation on the boundary. In particular we will prove existence of weak solutions and investigate the (asymptotic) relations linking together various types of dynamic boundary conditions. Moreover we will discuss the problem of the existence of the trace of the bulk velocity and its connection with the boundary velocity. |
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