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papers

Publications (17)

math.AP2009

Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime

Martial Agueh, Adrien Blanchet, JosÃ© Antonio Carrillo

math.AP2009

Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion

Adrien Blanchet, Philippe Laurencot

math.AP2004

On the one-dimensional parabolic obstacle problem with variable coefficients

Adrien Blanchet, Jean Dolbeault, Regis Monneau

math.AP2008

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

Adrien Blanchet, Jean Dolbeault, Miguel Escobedo +1

math-ph2017

Kinetic models for topological nearest-neighbor interactions

Adrien Blanchet, Pierre Degond

math.AP2015

Topological interactions in a Boltzmann-type framework

Adrien Blanchet, Pierre Degond

math.AP2011

On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher

Adrien Blanchet

math.AP2012

Optimal transport and Cournot-Nash equilibria

Adrien Blanchet, Guillaume Carlier

math.AP2007

Asymptotics of the fast diffusion equation via entropy estimates

Adrien Blanchet, Matteo Bonforte, Jean Dolbeault +2

math.AP2014

From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem

Adrien Blanchet, Guillaume Carlier

math.AP2012

The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$, $d \ge 3$

Adrien Blanchet, Philippe LaurenÃ§ot

math.OC2014

Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case

Adrien Blanchet, Guillaume Carlier

math.AP2008

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

math.AP2009

Improved intermediate asymptotics for the heat equation

Jean-Philippe Bartier, Adrien Blanchet, Jean Dolbeault +1

math.AP2014

A hybrid variational principle for the Keller-Segel system in $\mathbb R^2$

math.AP2018

A family of functional inequalities: Lojasiewicz inequalities and displacement convex functions

math.AP2011

Publications (17)

Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime

Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion

On the one-dimensional parabolic obstacle problem with variable coefficients

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

Kinetic models for topological nearest-neighbor interactions

Topological interactions in a Boltzmann-type framework

On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher

Optimal transport and Cournot-Nash equilibria

Asymptotics of the fast diffusion equation via entropy estimates

From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem

The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$, $d \ge 3$

Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case

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

Improved intermediate asymptotics for the heat equation

A hybrid variational principle for the Keller-Segel system in $\mathbb R^2$

A family of functional inequalities: Lojasiewicz inequalities and displacement convex functions

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