Adrien Blanchet

Two dimensional Keller–Segel model: Optimal critical mass and qualitative properties of the solutions

Adrien Blanchet, Jean Dolbeault, Benoı̂t Perthame · Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine) · 2006 · 470 citations · Full text

Natural Sciences, Mathematics, Physics +16

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

Adrien Blanchet, José A. Carrillo, Nader Masmoudi · Communications on Pure and Applied Mathematics · 2007 · 283 citations · Full text

Natural Sciences, Mathematics, Physics +13

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

Adrien Blanchet, Vincent Calvez, José A. Carrillo · SIAM Journal on Numerical Analysis · 2008 · 227 citations · Full text

Natural Sciences, Mathematics, Physics +8

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

Adrien Blanchet, José A. Carrillo, Philippe Laurençot · Calculus of Variations and Partial Differential Equations · 2008 · 192 citations · Full text

Natural Sciences, Materials Science, Condensed Matter Physics +9

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

Adrien Blanchet, Eric A. Carlen, José A. Carrillo · Journal of Functional Analysis · 2011 · 175 citations · Full text

Natural Sciences, Physics, Stochastic Processes +9