A "potato chip singularity" forms when two distinct surfaces moving with a three-dimensional (3D) fluid coincide at a finite time. Potato chip singularities were suggested by a numerical study of 3D ideal magnetohydrodynamics. We prove that an incompressible flow satisfying a mild assumption on velocity growth cannot form a potato chip singularity.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
- Incompressible flow
- Potato chip