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Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
Local Global Well-Posedness Aggregation Equations Patlak-Keller-Segel Models Degenerate Diffusion
2010/12/6
Recently, there has been a wide interest in the study of aggregation equations and Patlak-Keller-Segel (PKS) models for chemotaxis with degenerate diffusion. The focus of this paper is the unification...
Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models
critical supercritical aggregation equations Patlak-Keller-Segel models
2010/12/15
We examine the long-term asymptotic behavior of dissipating solutions to aggregation equations
and Patlak-Keller-Segel models with degenerate power-law and linear diffusion. The purpose
of this work...