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The logarithmic delay of KPP fronts in a periodic medium

Publication ,  Journal Article
Hamel, F; Nolen, J; Roquejoffre, JM; Ryzhik, L
Published in: Journal of the European Mathematical Society
January 1, 2016

We extend, to parabolic equations of the KPP type in periodic media, a result of Bramson which asserts that, in the case of a spatially homogeneous reaction rate, the time lag between the position of an initially compactly supported solution and that of a traveling wave grows logarithmically in time.

Duke Scholars

Published In

Journal of the European Mathematical Society

DOI

ISSN

1435-9855

Publication Date

January 1, 2016

Volume

18

Issue

3

Start / End Page

465 / 505

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Hamel, F., Nolen, J., Roquejoffre, J. M., & Ryzhik, L. (2016). The logarithmic delay of KPP fronts in a periodic medium. Journal of the European Mathematical Society, 18(3), 465–505. https://doi.org/10.4171/JEMS/595
Hamel, F., J. Nolen, J. M. Roquejoffre, and L. Ryzhik. “The logarithmic delay of KPP fronts in a periodic medium.” Journal of the European Mathematical Society 18, no. 3 (January 1, 2016): 465–505. https://doi.org/10.4171/JEMS/595.
Hamel F, Nolen J, Roquejoffre JM, Ryzhik L. The logarithmic delay of KPP fronts in a periodic medium. Journal of the European Mathematical Society. 2016 Jan 1;18(3):465–505.
Hamel, F., et al. “The logarithmic delay of KPP fronts in a periodic medium.” Journal of the European Mathematical Society, vol. 18, no. 3, Jan. 2016, pp. 465–505. Scopus, doi:10.4171/JEMS/595.
Hamel F, Nolen J, Roquejoffre JM, Ryzhik L. The logarithmic delay of KPP fronts in a periodic medium. Journal of the European Mathematical Society. 2016 Jan 1;18(3):465–505.

Published In

Journal of the European Mathematical Society

DOI

ISSN

1435-9855

Publication Date

January 1, 2016

Volume

18

Issue

3

Start / End Page

465 / 505

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics