Uniqueness for Keller-Segel-type chemotaxis models

A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators

(2013) Sylvia Serfaty et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

The parabolic-parabolic Keller-Segel model in R2

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

The Parabolic-Parabolic Keller-Segel System with Critical Diffusion as a Gradient Flow in ℝd,d ≥ 3

(2013) Adrien Blanchet et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

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

AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS

(2011) ANDREA L. BERTOZZI et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Well-posedness for a mean field model of Ginzburg–Landau vortices with opposite degrees

(2011) Edoardo Mainini   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Gradient flow of the Chapman–Rubinstein–Schatzman model for signed vortices

(2010) Luigi Ambrosio et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Lp theory for the multidimensional aggregation equation

(2010) Andrea L. Bertozzi et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

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

On the global existence of solutions to an aggregation model

(2008) Remigiusz Kowalczyk et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Eulerian Calculus for the Displacement Convexity in the Wasserstein Distance

(2008) Sara Daneri et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

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

A gradient flow approach to an evolution problem arising in superconductivity

(2007) Luigi Ambrosio et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS