Finiteness of entropy for granular media equations

• Autorzy: Tugaut Julian

Identyfikatory

DOI

10.19195/0208-4147.39.1.5

• Języki publikacji: EN

Abstrakty

EN

The current work deals with the granular media equation whose probabilistic interpretation is the McKean-Vlasov diffusion. It is well known that the Laplacian provides a regularization of the solution. Indeed, for any t > 0, the solution is absolutely continuous with respect to the Lebesgue measure. It has also been proved that all the moments are bounded for positive t. However, the finiteness of the entropy of the solution is a new result which will be presented here.

Słowa kluczowe

EN

granular media equation; McKean-Vlasov diffusion; Wasserstein distance; functional inequalities; entropy

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2019
• Tom: Vol. 39, Fasc. 1
• Strony: 75--84
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Tugaut Julian

• Université Jean Monnet, Saint-Étienne and Institut Camille Jordan, Lyon, 23, rue du docteur Paul Michelon, CS 82301, 42023 Saint-Étienne Cedex 2, France

Bibliografia

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