Name
Abstract | ||
|---|---|---|
We consider particles on a one-dimensional lattice whose evolution is governed by nearest-neighbor interactions where particles that have reached size zero are removed from the system. Concentrating on configurations with infinitely many particles, we prove existence of solutions under a reasonable density assumption on the initial data and show that the vanishing of particles and the localized interactions can lead to non-uniqueness. Moreover, we provide a rigorous upper coarsening estimate and discuss generic statistical properties as well as some non-generic behavior of the evolution by means of heuristic arguments and numerical observations. |
Year | DOI | Venue |
|---|---|---|
2016 | https://doi.org/10.1007/s00332-016-9304-y | J. Nonlinear Science |
Keywords | Field | DocType |
Coarsening,Infinite particle systems,Well posedness,Nonuniqueness of solutions,70F45,35A02,37L60 | Heuristic,Lattice (order),Mathematical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 5 | 0938-8974 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Helmers | 1 | 2 | 1.19 |
| BARBARA NIETHAMMER | 2 | 15 | 5.87 |
| J. J. L. Velázquez | 3 | 13 | 8.41 |