科研之友
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摘要
We consider the aggregation equation u(t) = del . (del u - u del K(u)) in a bounded domain Omega subset of R-d with supplemented the Neumann boundary condition and with a nonnegative, integrable initial datum. Here, 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.
- 出版日期2014-2-1
