139 citations · 562 across the 42 of their papers we have counts for
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math.AP2010★ 2 cited
Global Minimizers for Free Energies of Subcritical Aggregation Equations with Degenerate Diffusion
Jacob Bedrossian
We prove the existence of non-trivial global minimizers of a class of free energies related to aggregation equations with degenerate diffusion on $\Real^d$. Such equations arise in…
math.AP2010
Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models
Jacob Bedrossian
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 pu…
math.AP2010★ 117 cited
Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
Jacob Bedrossian, Nancy Rodríguez, Andrea Bertozzi
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 pape…