A central limit theorem for pulled fronts in a random medium
Publication
, Journal Article
Nolen, J
Published in: Networks and Heterogeneous Media
2011
We consider solutions to a nonlinear reaction diffusion equation when the reaction term varies randomly with respect to the spatial coordinate. The nonlinearity is the KPP type nonlinearity. For a stationary and ergodic medium, and for certain initial condition, the solution develops a moving front that has a deterministic asymptotic speed in the large time limit. The main result of this article is a central limit theorem for the position of the front, in the supercritical regime, if the medium satisfies a mixing condition. © American Institute of Mathematical Sciences.
Duke Scholars
Published In
Networks and Heterogeneous Media
DOI
ISSN
1556-1801
Publication Date
2011
Volume
6
Issue
2
Start / End Page
167 / 194
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Nolen, J. (2011). A central limit theorem for pulled fronts in a random medium. Networks and Heterogeneous Media, 6(2), 167–194. https://doi.org/10.3934/nhm.2011.6.167
Nolen, J. “A central limit theorem for pulled fronts in a random medium.” Networks and Heterogeneous Media 6, no. 2 (2011): 167–94. https://doi.org/10.3934/nhm.2011.6.167.
Nolen J. A central limit theorem for pulled fronts in a random medium. Networks and Heterogeneous Media. 2011;6(2):167–94.
Nolen, J. “A central limit theorem for pulled fronts in a random medium.” Networks and Heterogeneous Media, vol. 6, no. 2, 2011, pp. 167–94. Scival, doi:10.3934/nhm.2011.6.167.
Nolen J. A central limit theorem for pulled fronts in a random medium. Networks and Heterogeneous Media. 2011;6(2):167–194.
Published In
Networks and Heterogeneous Media
DOI
ISSN
1556-1801
Publication Date
2011
Volume
6
Issue
2
Start / End Page
167 / 194
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics