Global in time solution to the Hele-Shaw problem with a change of topology Academic Article uri icon

abstract

  • Abstract The existence of classical solutions with a free boundary changing its topology in time is proved for the multi-dimensional Hele-Shaw problem. We prove that, if some symmetry and monotonicity conditions on the problem data hold, then a cusp, arising at the contact between two free boundary components, disappears instantly and the free boundary becomes smooth and singly-connected.

publication date

  • January 1, 2002