Self-stabilizing processes in multi-wells landscape in \(\mathbb R^d\)-convergence

DOI10.1016/j.spa.2012.12.003zbMath1263.60053OpenAlexW2055249663MaRDI QIDQ1947606

Julian Tugaut

Publication date: 22 April 2013

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2012.12.003

zbMATH Keywords

granular media equationfree-energyself-interacting diffusionMcKeanmulti-wells potentialVlasov stochastic differential equations

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Diffusion processes (60J60)

Related Items (13)

Captivity of the solution to the granular media equation ⋮ Convergence to equilibrium in the free Fokker-Planck equation with a double-well potential ⋮ Convergence in Wasserstein distance for self-stabilizing diffusion evolving in a double-well landscape ⋮ Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type ⋮ Exit-problem of McKean-Vlasov diffusions in double-well landscape ⋮ Asymptotic simplification of aggregation-diffusion equations towards the heat kernel ⋮ Existence and non-uniqueness of stationary distributions for distribution dependent SDEs ⋮ The Vlasov-Fokker-Planck equation in non-convex landscapes: convergence to equilibrium ⋮ Unnamed Item ⋮ Clamping and Synchronization in the Strongly Coupled FitzHugh--Nagumo Model ⋮ Finiteness of entropy for granular media equations ⋮ Uniform propagation of chaos and creation of chaos for a class of nonlinear diffusions ⋮ An invariance principle for gradient flows in the space of probability measures

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