Differential and Integral Equations
- Differential Integral Equations
- Volume 12, Number 2 (1999), 207-259.
Fine structure of the interface motion
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.
Differential Integral Equations, Volume 12, Number 2 (1999), 207-259.
First available in Project Euclid: 29 April 2013
Permanent link to this document
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