Abstract
In recent years, there has been a growing interest in geometric evolutions in heterogeneous media. Here we consider curvature driven flows of planar curves with an additional space-dependent forcing term, and we look for estimates which depend only on the L∞-norm of the forcing term. Our motivation comes from a homogenization problem, which we can rigorously solve in the special case when the initial curve is a graph and the forcing term does not depend on the vertical direction. In such case, we are also able to define a solution of the evolution even if the forcing term is just a bounded function, not necessarily continuous.
Original language | English |
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Pages (from-to) | 485-505 |
Number of pages | 21 |
Journal | Interfaces and Free Boundaries |
Volume | 13 |
Issue number | 4 |
DOIs | |
Publication status | Published - 19 Dec 2011 |
Externally published | Yes |