RT Journal Article
T1 Self-similar behaviour for noncompactly supported solutions of the LSW model
A1 López Velázquez, Juan José
AB In this paper a method of approximating the classical LSW model near self-similar solutions for initial data with infinite support is developed. The resulting problem is an integrodifferential equation having two time scales that can be studied using multiple scale methods. The analysis provides a detailed description of the precise manner in which the characteristics “leak” through the critical radius associated to the self-similar solutions. The analysis in this paper makes precise the meaning of the iterated logarithmic asymptotics in the dynamics of the LSW model that were already obtained in the original Lifshitz-Slyozov paper. Examples of noncompactly supported solutions of the LSW model that do not behave in a self-similar manner are also given.
PB Springer
SN 0022-4715
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/49675
UL https://hdl.handle.net/20.500.14352/49675
LA eng
NO DGES
DS Docta Complutense
RD 16 may 2024