AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
CitationHamel, F., & Henderson, C. (2020). Propagation in a Fisher-KPP equation with non-local advection. Journal of Functional Analysis, 278(7), 108426. https://doi.org/10.1016/j.jfa.2019.108426
JournalJOURNAL OF FUNCTIONAL ANALYSIS
RightsCopyright © 2019 Elsevier Inc. All rights reserved.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractWe investigate the influence of a general non-local advection term of the form K *u to propagation in the one-dimensional Fisher-KPP equation. This model is a generalization of the Keller-Segel-Fisher system. When K is an element of L-1(R), we obtain explicit upper and lower bounds on the propagation speed which are asymptotically sharp and more precise than previous works. When K is an element of L-P(R) with p > 1 and is non-increasing in (-infinity, 0) and in (0, +infinity), we show that the position of the "front" is of order 0(t(p)) if p < infinity and O(e(lambda t)) for some lambda > 0 if p = infinity and K(+infinity) > 0. We use a wide range of techniques in our proofs. (C) 2019 Elsevier Inc. All rights reserved.
Note24 month embargo; published online: 15 April 2019
VersionFinal accepted manuscript