Differential and Integral Equations

Fine structure of the interface motion

Paolo Buttà and Anna De Masi

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We study a non local evolution and define the interface in terms of a local equilibrium condition. We prove that in a diffusive scaling limit the local equilibrium condition propagates in time thus defining an interface evolution which is given by a motion by mean curvature. The analysis extend through all times before the appearance of singularities.

Article information

Differential Integral Equations, Volume 12, Number 2 (1999), 207-259.

First available in Project Euclid: 29 April 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 82C24: Interface problems; diffusion-limited aggregation
Secondary: 35K99: None of the above, but in this section 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] 47N20: Applications to differential and integral equations


Buttà, Paolo; De Masi, Anna. Fine structure of the interface motion. Differential Integral Equations 12 (1999), no. 2, 207--259. https://projecteuclid.org/euclid.die/1367265630

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