TY - JOUR
T1 - Global in time solution to the Hele-Shaw problem with a change of topology
AU - Meirmanov, Anvarbek M.
AU - Zaltzman, Boris
PY - 2002/8/1
Y1 - 2002/8/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0036671602&partnerID=8YFLogxK
U2 - 10.1017/S0956792502004874
DO - 10.1017/S0956792502004874
M3 - Article
AN - SCOPUS:0036671602
SN - 0956-7925
VL - 13
SP - 431
EP - 447
JO - European Journal of Applied Mathematics
JF - European Journal of Applied Mathematics
IS - 4
ER -