Traveling waves in a one-dimensional heterogeneous medium
Publication
, Journal Article
Nolen, J; Ryzhik, L
Published in: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
2009
We consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deterministic rate in the long time limit. We also establish existence of generalized random traveling waves and of transition fronts in general heterogeneous media. © 2009 Elsevier Masson SAS. All rights reserved.
Duke Scholars
Published In
Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
DOI
ISSN
0294-1449
Publication Date
2009
Volume
26
Issue
3
Start / End Page
1021 / 1047
Related Subject Headings
- General Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Nolen, J., & Ryzhik, L. (2009). Traveling waves in a one-dimensional heterogeneous medium. Annales de l’Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 26(3), 1021–1047. https://doi.org/10.1016/j.anihpc.2009.02.003
Nolen, J., and L. Ryzhik. “Traveling waves in a one-dimensional heterogeneous medium.” Annales de l’Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis 26, no. 3 (2009): 1021–47. https://doi.org/10.1016/j.anihpc.2009.02.003.
Nolen J, Ryzhik L. Traveling waves in a one-dimensional heterogeneous medium. Annales de l’Institut Henri Poincare Annales: Analyse Non Lineaire/Nonlinear Analysis. 2009;26(3):1021–47.
Nolen, J., and L. Ryzhik. “Traveling waves in a one-dimensional heterogeneous medium.” Annales de l’Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, vol. 26, no. 3, 2009, pp. 1021–47. Scival, doi:10.1016/j.anihpc.2009.02.003.
Nolen J, Ryzhik L. Traveling waves in a one-dimensional heterogeneous medium. Annales de l’Institut Henri Poincare Annales: Analyse Non Lineaire/Nonlinear Analysis. 2009;26(3):1021–1047.
Published In
Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
DOI
ISSN
0294-1449
Publication Date
2009
Volume
26
Issue
3
Start / End Page
1021 / 1047
Related Subject Headings
- General Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics