An Aggregation Equation with Degenerate Diffusion: Qualitative Property of Solutions

Stationary states of quadratic diffusion equations with long-range attraction

(2013) Martin Burger et al.   Communications in Mathematical Sciences

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

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

Global minimizers for free energies of subcritical aggregation equations with degenerate diffusion

(2011) Jacob Bedrossian   APPLIED MATHEMATICS LETTERS

Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion

(2011) Andrea L. Bertozzi et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Erratum

(2011) Inwon Kim   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

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

(2011) Jacob Bedrossian et al.   NONLINEARITY

Degenerate diffusion with a drift potential: A viscosity solutions approach

(2010) Helen Lei et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

The McKean–Vlasov Equation in Finite Volume

(2010) L. Chayes et al.   JOURNAL OF STATISTICAL PHYSICS

Harnack estimates for quasi-linear degenerate parabolic differential equations

(2008) Emmanuele DiBenedetto et al.   ACTA MATHEMATICA

Large time behavior of nonlocal aggregation models with nonlinear diffusion

(2008) Martin Burger et al.   Networks and Heterogeneous Media