Stability of solutions to aggregation equation in bounded domains
نویسنده
چکیده
We consider the aggregation equation ut = ∇·(∇u−u∇K(u)) in a bounded domain Ω ⊂ R 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.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 228 شماره
صفحات -
تاریخ انتشار 2014