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math.PR2008★ 17 cited
Entropy and chaos in the Kac model
E. A. Carlen, M. C. Carvalho, J. Le Roux +2
We investigate the behavior in of the --particle entropy functional for Kac's stochastic model of Boltzmann dynamics, and its relation to the entropy function for solutions…
math.DG2008
Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds
Peng Lu, Lei Ni, Juan-Luis Vázquez +1
In this work we derive local gradient and Laplacian estimates of the Aronson-Bénilan and Li-Yau type for positive solutions of porous medium equations posed on Riemannian manifolds…