May/June 2012 Nonlocal interaction equations: Stationary states and stability analysis
Gaël Raoul
Differential Integral Equations 25(5/6): 417-440 (May/June 2012). DOI: 10.57262/die/1356012673

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.

Citation

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Gaël Raoul. "Nonlocal interaction equations: Stationary states and stability analysis." Differential Integral Equations 25 (5/6) 417 - 440, May/June 2012. https://doi.org/10.57262/die/1356012673

Information

Published: May/June 2012
First available in Project Euclid: 20 December 2012

zbMATH: 1265.35142
MathSciNet: MR2951735
Digital Object Identifier: 10.57262/die/1356012673

Subjects:
Primary: 35B20 , 35B35 , 35Q80

Rights: Copyright © 2012 Khayyam Publishing, Inc.

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Vol.25 • No. 5/6 • May/June 2012
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