Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Triviality of the 2D stochastic Allen-Cahn equation

Tools
- Tools
+ Tools

Hairer, Martin, Ryser, Marc D. and Weber, Hendrik (2012) Triviality of the 2D stochastic Allen-Cahn equation. Electronic Journal of Probability, Vol.17 . pp. 1-14. doi:10.1214/EJP.v17-1731

[img]
Preview
Text
WRAP_Hairer_1731-10164-1-PB (1).pdf - Published Version

Download (410Kb) | Preview
Official URL: http://dx.doi.org/10.1214/EJP.v17-1731

Request Changes to record.

Abstract

We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to
0, independently of the initial condition. If the intensity of the noise simultaneously converges to 0 at a sufficiently fast rate, then the solutions converge to those of the
deterministic equation. At the critical rate, the limiting solution is still deterministic, but it exhibits an additional damping term.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Stochastic analysis
Journal or Publication Title: Electronic Journal of Probability
Publisher: Institute of Mathematical Statistics
ISSN: 1083-6489
Official Date: 2012
Dates:
DateEvent
2012Published
Volume: Vol.17
Page Range: pp. 1-14
DOI: 10.1214/EJP.v17-1731
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
Funder: Engineering and Physical Sciences Research Council (EPSRC), Royal Society (Great Britain), Leverhulme Trust (LT), Hydro-Québec
Grant number: EP/D071593/1 (EPSRC)

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: publications@live.warwick.ac.uk
Contact Details
About Us