José A. Carrillo

most citedGranular Hydrodynamics and Pattern Formation in Vertically Oscillated Granular Disks Layers

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math.AP2009★ 1 cited

Nonlinear mobility continuity equations and generalized displacement convexity

José Antonio Carrillo, Stefano Lisini, Giuseppe Savaré +1

We consider the geometry of the space of Borel measures endowed with a distance that is defined by generalizing the dynamical formulation of the Wasserstein distance to concave, no…

math.AP2009

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

Martial Agueh, Adrien Blanchet, José Antonio Carrillo

We study the long-time asymptotics of the doubly nonlinear diffusion equation $ρ_{t} = d i v (∣\nabla ρ^{m} ∣^{p - 2} \nabla ρ^{m})$ in $\RR^n$, in the range $\frac{n-p}{n(p-1)}<m>\frac{n-p+1}{…