Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations
Publication
, Journal Article
Nolen, J; Roquejoffre, JM; Ryzhik, L
Published in: Communications in Partial Differential Equations
March 4, 2015
We consider solutions of the KPP equation with a time-dependent diffusivity of the form σ(t/T). For an initial condition that has sufficiently fast decay in x, we show that when σ(s) is increasing in time the front position at time T is (Formula presented.). That is, X(T) lags behind the linear front by an amount that is algebraic in T, not by the Bramson correction (3/2)log T as in the uniform medium. This refines a result by Fang and Zeitouni.
Duke Scholars
Published In
Communications in Partial Differential Equations
DOI
EISSN
1532-4133
ISSN
0360-5302
Publication Date
March 4, 2015
Volume
40
Issue
3
Start / End Page
475 / 505
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Nolen, J., Roquejoffre, J. M., & Ryzhik, L. (2015). Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations. Communications in Partial Differential Equations, 40(3), 475–505. https://doi.org/10.1080/03605302.2014.972744
Nolen, J., J. M. Roquejoffre, and L. Ryzhik. “Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations.” Communications in Partial Differential Equations 40, no. 3 (March 4, 2015): 475–505. https://doi.org/10.1080/03605302.2014.972744.
Nolen J, Roquejoffre JM, Ryzhik L. Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations. Communications in Partial Differential Equations. 2015 Mar 4;40(3):475–505.
Nolen, J., et al. “Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations.” Communications in Partial Differential Equations, vol. 40, no. 3, Mar. 2015, pp. 475–505. Scopus, doi:10.1080/03605302.2014.972744.
Nolen J, Roquejoffre JM, Ryzhik L. Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations. Communications in Partial Differential Equations. 2015 Mar 4;40(3):475–505.
Published In
Communications in Partial Differential Equations
DOI
EISSN
1532-4133
ISSN
0360-5302
Publication Date
March 4, 2015
Volume
40
Issue
3
Start / End Page
475 / 505
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics