An invariance principle for random traveling waves in one dimension
Publication
, Journal Article
Nolen, J
Published in: SIAM Journal on Mathematical Analysis
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 either the ignition nonlinearity or the bistable nonlinearity, under suitable restrictions on the size of the spatial fluctuations. It is known that the solution develops an interface which propagates with a well-defined speed in the large time limit. The main result of this article is a functional central limit theorem for the random interface position. Copyright © 2011 by SIAM.
Duke Scholars
Published In
SIAM Journal on Mathematical Analysis
DOI
ISSN
0036-1410
Publication Date
2011
Volume
43
Issue
1
Start / End Page
153 / 188
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Nolen, J. (2011). An invariance principle for random traveling waves in one dimension. SIAM Journal on Mathematical Analysis, 43(1), 153–188. https://doi.org/10.1137/090746513
Nolen, J. “An invariance principle for random traveling waves in one dimension.” SIAM Journal on Mathematical Analysis 43, no. 1 (2011): 153–88. https://doi.org/10.1137/090746513.
Nolen J. An invariance principle for random traveling waves in one dimension. SIAM Journal on Mathematical Analysis. 2011;43(1):153–88.
Nolen, J. “An invariance principle for random traveling waves in one dimension.” SIAM Journal on Mathematical Analysis, vol. 43, no. 1, 2011, pp. 153–88. Scival, doi:10.1137/090746513.
Nolen J. An invariance principle for random traveling waves in one dimension. SIAM Journal on Mathematical Analysis. 2011;43(1):153–188.
Published In
SIAM Journal on Mathematical Analysis
DOI
ISSN
0036-1410
Publication Date
2011
Volume
43
Issue
1
Start / End Page
153 / 188
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics