Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628317 | Applied Mathematics and Computation | 2014 | 10 Pages |
Abstract
We consider the aggregation equation ut=∇·(∇u-u∇K(u))ut=∇·(∇u-u∇K(u)) in a bounded domain Ω⊂RdΩ⊂Rd with supplemented the Neumann boundary condition and with a nonnegative, integrable initial datum. Here, K=K(u)K=K(u) is an integral operator. We study the local and global existence of solutions and we derive conditions which lead us to either the stability or instability of constant solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rafał Celiński,