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Convergence to equilibrium in Wasserstein distance for Fokker–Planck equations

✍ Scribed by François Bolley; Ivan Gentil; Arnaud Guillin


Book ID
116647219
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
259 KB
Volume
263
Category
Article
ISSN
0022-1236

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Exponential convergence toward equilibri
✍ J. A. Carrillo; G. Toscani 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 149 KB

We consider homogeneous solutions of the Vlasov-Fokker-Planck equation in plasma theory proving that they reach the equilibrium with a time exponential rate in various norms. By Csiszar-Kullback inequality, strong ¸-convergence is a consequence of the 'sharp' exponential decay of relative entropy an