|
|||||
 |
|
|
|
|
|
|
Diffusion-approximation
in stochastically forced kinetic equations
Arnaud Debussche and Julien Vovelle |
|
Vol. 3 (2021), No. 1, 1–53
|
Abstract |
|
We derive the hydrodynamic limit of a kinetic equation where the interactions in velocity are modeled by a linear operator (Fokker–Planck or linear Boltzmann) and the force in the Vlasov term is a stochastic process with high amplitude and short-range correlation. In the scales and the regime we consider, the hydrodynamic equation is a scalar second-order stochastic partial differential equation. Compared to the deterministic case, we also observe a phenomenon of enhanced diffusion. |
PDF Access Denied
We have not been able to recognize your IP address
3.16.76.43
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
diffusion-approximation, kinetic equation, hydrodynamic
limit
|
Mathematical Subject Classification 2010
Primary: 35Q20, 35R60, 60H15, 35B40
|
Milestones
Received: 15 March 2019
Accepted: 16 November 2019
Published: 20 May 2020
|
Authors |
| Arnaud Debussche | |
| Univ Rennes, CNRS, IRMAR - UMR 6625, F-35000 Rennes France |
|
| Julien Vovelle | |
| Univ Lyon CNRS, ENS Lyon, UMPA - UMR 5669, F-69364 Lyon France |
|
