Existence, Uniqueness and Lipschitz Dependence for Patlak–Keller–Segel and Navier–Stokes in $${\mathbb{R}^2}$$ R 2 with Measure-Valued Initial Data

The parabolic-parabolic Keller-Segel model in R2

(2013) V. Calvez et al.   Communications in Mathematical Sciences

Intermediate asymptotics for critical and supercritical aggregation equations and patlak-keller-segel models

(2013) Jacob Bedrossian   Communications in Mathematical Sciences

Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

(2013) Hao Jia et al.   INVENTIONES MATHEMATICAE

Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities

(2012) Vincent Calvez et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

The Patlak–Keller–Segel Model and Its Variations: Properties of Solutions via Maximum Principle

(2012) Inwon Kim et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model

(2011) Adrien Blanchet et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Local and global well-posedness for aggregation equations and Patlak–Keller–Segel models with degenerate diffusion

(2011) Jacob Bedrossian et al.   NONLINEARITY

Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis

(2010) Piotr Biler et al.   JOURNAL OF MATHEMATICAL BIOLOGY

The two-dimensional Keller-Segel model after blow-up

(2009) Jean Dolbeault et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Asymptotic behaviour for small mass in the two-dimensional parabolic–elliptic Keller–Segel model

(2009) Adrien Blanchet et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions

(2008) Adrien Blanchet et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Critical dynamics of self-gravitating Langevin particles and bacterial populations

(2008) Clément Sire et al.   PHYSICAL REVIEW E

Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model

(2008) Adrien Blanchet et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2

(2007) Adrien Blanchet et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS