Paper Info
Title
The Lifshitz-Slyozov-Wagner equation with conserved total volume
Abstract
The Lifshitz-Slyozov-Wagner theory of coarsening (Ostwald ripening) in alloys describes the time evolution of the sizes of the grains of a new phase growing by diffusional mass transfer from a supersaturated solid solution. The volume distribution function of the grains obeys a nonlinear transport equation with a nonlocal nonlinearity. Global existence of solutions is obtained for a large class of data including the ones derived by Lifshitz and Slyozov [J. Phys. Chem. Solids, 19 (1961), pp. 35-50] and Wagner [Z. Elektrochem., 65 (1961), pp. 581-591], and uniqueness of these solutions is proved in some cases.
Year
DOI
Venue
2002
10.1137/S0036141001387471
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
Lifshitz-Slyozov model,Ostwald ripening,existence,uniqueness
Convection–diffusion equation,Uniqueness,Thermodynamics,Nonlinear system,Mathematical physics,Ostwald ripening,Time evolution,Mass transfer,Solid solution,Distribution function,Mathematics
Journal
Volume
Issue
ISSN
34
2
0036-1410
Citations 
PageRank 
References 
3
0.78
0
Authors
1
Name
Order
Citations
PageRank
Philippe Laurençot13010.30