Convergence in Wasserstein distance for self-stabilizing diffusion evolving in a double-well landscape

DOI10.1016/j.crma.2018.04.020zbMath1394.35050OpenAlexW2803006387WikidataQ129903015 ScholiaQ129903015MaRDI QIDQ1636159

Julian Tugaut

Publication date: 4 June 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.04.020

zbMATH Keywords

granular media equationcontraction in Wasserstein distancedouble-wellconfining potentialunique steady state

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (1)

A variational approach to nonlinear and interacting diffusions

Cites Work

• Convergence to the equilibria for self-stabilizing processes in double-well landscape
• Large deviations and a Kramers' type law for self-stabilizing diffusions
• Non-uniqueness of stationary measures for self-stabilizing processes
• A non-Maxwellian steady distribution for one-dimensional granular media
• Nonlinear self-stabilizing processes. II: Convergence to invariant probability
• Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
• Self-stabilizing processes in multi-wells landscape in \(\mathbb R^d\)-convergence
• Uniform convergence to equilibrium for granular media
• Probabilistic approach for granular media equations in the non-uniformly convex case
• Phase transitions of McKean–Vlasov processes in double-wells landscape

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