## Differential and Integral Equations

### Nonlocal interaction equations: Stationary states and stability analysis

Gaël Raoul

#### Abstract

In this paper, we are interested in the long-time behavior of solutions to a nonlocal interaction equation in dimension $1$. We show that, up to an extraction, the solution converges to a steady-state. Then, we study the structure of stable steady-states.

#### Article information

Source
Differential Integral Equations, Volume 25, Number 5/6 (2012), 417-440.

Dates
First available in Project Euclid: 20 December 2012