Quenching and propagation in KPP reaction-diffusion equations with a heat loss
Publication
, Journal Article
Berestycki, H; Hamel, F; Kiselev, A; Ryzhik, L
Published in: Archive for Rational Mechanics and Analysis
October 1, 2005
We consider a reaction-diffusion system of KPP type in a shear flow and with a non-zero heat-loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagation speed in terms of the exponential decay of the initial data. We prove the existence of travelling fronts for all speeds c>max(0,c*) in the case Le=1, where c* ∈ ℝ. This seems to be one of the first non-perturbative results on the existence of fronts for the thermo-diffusive system in higher dimensions. © Springer-Verlag (2005).
Duke Scholars
Published In
Archive for Rational Mechanics and Analysis
DOI
ISSN
0003-9527
Publication Date
October 1, 2005
Volume
178
Issue
1
Start / End Page
57 / 80
Related Subject Headings
- General Physics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Berestycki, H., Hamel, F., Kiselev, A., & Ryzhik, L. (2005). Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Archive for Rational Mechanics and Analysis, 178(1), 57–80. https://doi.org/10.1007/s00205-005-0367-4
Berestycki, H., F. Hamel, A. Kiselev, and L. Ryzhik. “Quenching and propagation in KPP reaction-diffusion equations with a heat loss.” Archive for Rational Mechanics and Analysis 178, no. 1 (October 1, 2005): 57–80. https://doi.org/10.1007/s00205-005-0367-4.
Berestycki H, Hamel F, Kiselev A, Ryzhik L. Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Archive for Rational Mechanics and Analysis. 2005 Oct 1;178(1):57–80.
Berestycki, H., et al. “Quenching and propagation in KPP reaction-diffusion equations with a heat loss.” Archive for Rational Mechanics and Analysis, vol. 178, no. 1, Oct. 2005, pp. 57–80. Scopus, doi:10.1007/s00205-005-0367-4.
Berestycki H, Hamel F, Kiselev A, Ryzhik L. Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Archive for Rational Mechanics and Analysis. 2005 Oct 1;178(1):57–80.
Published In
Archive for Rational Mechanics and Analysis
DOI
ISSN
0003-9527
Publication Date
October 1, 2005
Volume
178
Issue
1
Start / End Page
57 / 80
Related Subject Headings
- General Physics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics