Time-Periodic Chemotaxis in Shifting Environments: Propagation and Planar Forced Waves in $\R^N$

We study time-periodic Keller--Segel dynamics in a translating KPP environment. In the parabolic--elliptic regime, we prove global boundedness, identify the sharp speed \(c_*=2\sqrt{\bar a\,\bar r}\), establish persistence in the interior region \(|s|

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-27
DOI
https://doi.org/10.48550/arxiv.2610.36627
Primary Topic
Mathematical Biology Tumor Growth
Type
preprint
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preprint

Time-Periodic Chemotaxis in Shifting Environments: Propagation and Planar Forced Waves in $\R^N$

Hoang‐Hung Vo
arXiv (Cornell University)
Mathematical Biology Tumor Growth
preprint

Time-Periodic Chemotaxis in Shifting Environments: Propagation and Planar Forced Waves in $\R^N$

Hoang‐Hung Vo
preprint en

Abstract

We study time-periodic Keller--Segel dynamics in a translating KPP environment. In the parabolic--elliptic regime, we prove global boundedness, identify the sharp speed \(c_*=2\sqrt{\bar a\,\bar r}\), establish persistence in the interior region \(|s|

arXiv (Cornell University)
Mathematical Biology Tumor Growth
DOIOpen Access PDFOpenAlex
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Time-Periodic Chemotaxis in Shifting Environments: Propagation and Planar Forced Waves in $\R^N$ — Hoang‐Hung Vo · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS