Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations

In this paper we provide a well-posedness theory for weak measure solutions of the Cauchy problem for a family of nonlocal interaction equations. These equations are continuum models for interacting particle systems with attractive/repulsive pairwise interaction potentials. The main phenomenon of in...

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Veröffentlicht in:	Duke mathematical journal 2011-02, Vol.156 (2), p.229-271
Hauptverfasser:	Carrillo, J. A., DiFrancesco, M., Figalli, A., Laurent, T., Slepčev, D.
Format:	Artikel
Sprache:	eng
Schlagworte:	35B40 35R09 35R10 45K05 47G20 49K20 92DXX Asymptotic behavior of solutions Integro-partial differential equations [See also 34K30 Problems involving partial differential equations
Online-Zugang:	Volltext
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