Generalized Fokker-Planck equations and convergence to their equilibria

Piotr Biler; Grzegorz Karch

Banach Center Publications (2003)

  • Volume: 60, Issue: 1, page 307-318
  • ISSN: 0137-6934

Abstract

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We consider extensions of the classical Fokker-Planck equation uₜ + ℒu = ∇·(u∇V(x)) on d with ℒ = -Δ and V(x) = 1/2|x|², where ℒ is a general operator describing the diffusion and V is a suitable potential.

How to cite

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Piotr Biler, and Grzegorz Karch. "Generalized Fokker-Planck equations and convergence to their equilibria." Banach Center Publications 60.1 (2003): 307-318. <http://eudml.org/doc/286498>.

@article{PiotrBiler2003,
abstract = {We consider extensions of the classical Fokker-Planck equation uₜ + ℒu = ∇·(u∇V(x)) on $ℝ^\{d\}$ with ℒ = -Δ and V(x) = 1/2|x|², where ℒ is a general operator describing the diffusion and V is a suitable potential.},
author = {Piotr Biler, Grzegorz Karch},
journal = {Banach Center Publications},
keywords = {steady states; asymptotics of solutions; relative entropy},
language = {eng},
number = {1},
pages = {307-318},
title = {Generalized Fokker-Planck equations and convergence to their equilibria},
url = {http://eudml.org/doc/286498},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Piotr Biler
AU - Grzegorz Karch
TI - Generalized Fokker-Planck equations and convergence to their equilibria
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 307
EP - 318
AB - We consider extensions of the classical Fokker-Planck equation uₜ + ℒu = ∇·(u∇V(x)) on $ℝ^{d}$ with ℒ = -Δ and V(x) = 1/2|x|², where ℒ is a general operator describing the diffusion and V is a suitable potential.
LA - eng
KW - steady states; asymptotics of solutions; relative entropy
UR - http://eudml.org/doc/286498
ER -

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