Willmore flow for the radially symmetric case in in three space dimensions

A long straight tube becomes temporarily non-convex


Scale: Radius of end cap = 1, straight part in middle = 4.
Time step = 10-5.
Spatial resolution of generating curve = 0.01-0.05.
System: Toshiba 4015CDT Laptop with an Intel Pentium II 266 MHz.
Computation time: About 12 minutes.


After 0 time steps.

After 5,000 time steps.

After 10,000 time steps.

After 25,000 time steps.

After 50,000 time steps.

After 100,000 time steps.

After 200,000 time steps.

After 1,000,000 time steps.

[leftarrow]Back mayer@math.utah.edu
Posted on: Tue Apr 10 12:05:38 PDT 2001
Last updated: Thu Apr 12 09:23:50 PDT 2001