Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations

DOI10.1088/0951-7715/27/12/3159zbMath1307.35141arXiv1403.3128OpenAlexW2091878448MaRDI QIDQ2936155

Giuseppe Toscani, José Antonio Carrillo

Publication date: 5 January 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3128

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Diffusion processes (60J60) Self-similar stochastic processes (60G18)

Related Items (8)

Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays ⋮ Shannon's inequality for the Rényi entropy and an application to the uncertainty principle ⋮ Rényi entropies and nonlinear diffusion equations ⋮ Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces ⋮ Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case ⋮ Human behavior and lognormal distribution. A kinetic description ⋮ The information-theoretic meaning of Gagliardo-Nirenberg type inequalities ⋮ Exponential decay of Rényi divergence under Fokker-Planck equations

This page was built for publication: Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations