Long time behavior of discrete volume preserving mean curvature flows Skip to content Should
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We study pattern formation for a variational model displaying competition between a local
term penalizing interfaces and a non-local term favoring oscillations. By means of a Γ Γ …

It is shown that any three-dimensional periodic configuration that is strictly stable for the area
functional is exponentially stable for the surface diffusion flow and for the Mullins–Sekerka or …

We study a two-dimensional quaternary inhibitory system. This free energy functional
combines an interface energy favoring micro-domain growth with a Coulomb-type long …

We derive a macroscopic limit for a sharp interface version of a model proposed in Komura
et al.(Langmuir 22: 6771–6774, 2006) to investigate pattern formation due to competition of …

We study a two-dimensional ternary inhibitory system derived as a sharp-interface limit of
the Nakazawa-Ohta density functional theory of triblock copolymers. This free-energy …

The seminal results of Bourgain et al.(Optimal Control and Partial Differential Equations,
IOS, Amsterdam, 2001) and Dávila (Calc Var Partial Differ Equ 15 (4): 519–527, 2002) show …

In this survey we present the state of the art about the asymptotic behavior and stability of the
modified Mullins--Sekerka flow and the surface diffusion flow of smooth sets, mainly due to …

We study a variational model where two interacting phases are embedded in a third neutral
phase. The energy of the system is the sum of a local interfacial contribution and a nonlocal …

We consider a physical model where the total energy is governed by surface tension and
repulsive screened Coulomb potential on the 3-dimensional space. We obtain different …