Author: Bedrossian Jacob Rodríguez Nancy Bertozzi Andrea L
Publisher: IOP Publishing
ISSN: 0951-7715
Source: Nonlinearity, Vol.24, Iss.6, 2011-06, pp. : 1683-1714
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
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 and generalization of the well-posedness theory of these models. We prove local well-posedness on bounded domains for dimensions
Related content
Local well-posedness in Lovelock gravity
Classical and Quantum Gravity, Vol. 32, Iss. 2, 2015-01 ,pp. :