Differential and Integral Equations
- Differential Integral Equations
- Volume 25, Number 5/6 (2012), 417-440.
Nonlocal interaction equations: Stationary states and stability analysis
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.
Differential Integral Equations, Volume 25, Number 5/6 (2012), 417-440.
First available in Project Euclid: 20 December 2012
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Raoul, Gaël. Nonlocal interaction equations: Stationary states and stability analysis. Differential Integral Equations 25 (2012), no. 5/6, 417--440. https://projecteuclid.org/euclid.die/1356012673