We prove that two linked circles in R3 evolving by curvature develop three dimensional fattening at finite time. The same result holds for two planar convex closed linked curves.
Bellettini, G., Novaga, M., Paolini, M., An example of three dimensional fattening for linked space curves evolving by curvature, <<COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS>>, 1998; (Ottobre): 1475-1492. [doi:10.1080/03605309808821392] [http://hdl.handle.net/10807/20953]
An example of three dimensional fattening for linked space curves evolving by curvature
Bellettini, Giovanni;Novaga, Matteo;Paolini, Maurizio
1998
Abstract
We prove that two linked circles in R3 evolving by curvature develop three dimensional fattening at finite time. The same result holds for two planar convex closed linked curves.
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