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- Title
Axisymmetric three‐dimensional finger solutions in Mullins–Sekerka equation.
- Authors
JIANZHONG SU; TRAN, BAO LOC
- Abstract
In this paper, we study the existence problem of axisymmetric three‐dimensional finger solutions of Mullins–Sekerka equation. The finger solutions are travelling wave solutions whose finger‐shaped interfaces are moving along a certain direction at a constant speed within a cylindrical domain. The existence of at least one axisymmetric three‐dimensional finger solution is obtained through a fixed‐point argument of the Hilbert transformation.
- Subjects
CHARACTERISTIC functions; FUNCTIONAL analysis; VON Neumann algebras; KINEMATICS; EXPONENTS
- Publication
IMA Journal of Applied Mathematics, 2004, Vol 69, Issue 4, p421
- ISSN
0272-4960
- Publication type
Article