Name
Title | ||
|---|---|---|
On the initial-value problem in the Lifshitz-Slyozov-Wagner theory of Ostwald ripening |
Abstract | ||
|---|---|---|
The LSW theory of Ostwald ripening concerns the time evolution of the size distribution of a dilute system of particles that evolve by diffusional mass transfer with a common mean field. We prove global existence, uniqueness and continuous dependence on initial data for measure-valued solutions with compact support in particle size. These results are established with respect to a natural topology on the space of size distributions, one given by the Wasserstein metric which measures the smallest maximum volume change required to rearrange one distribution into another. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1137/S0036141098338211 | SIAM J. Math. Analysis |
Keywords | Field | DocType |
Ostwald ripening,mean-field model,measure-valued solutions,Wasserstein metric | Uniqueness,Mathematical analysis,Ostwald ripening,Time evolution,Mean field theory,Wasserstein metric,Initial value problem,Particle size,Natural topology,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 3 | 0036-1410 |
Citations | PageRank | References |
6 | 1.98 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| BARBARA NIETHAMMER | 1 | 15 | 5.87 |
| Robert L. Pego | 2 | 18 | 7.85 |