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Online ISSN 1552-4485; Print ISSN 0033-569X
Global existence for a nonlocal multi-species aggregation-diffusion equation
Authors:
Elaine Cozzi and Zachary Radke
Journal:
Quart. Appl. Math.
MSC (2020):
Primary 35A01
DOI:
https://doi.org/10.1090/qam/1717
Published electronically:
June 10, 2025
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We consider the question of global existence of smooth solutions to a multi-species aggregation-diffusion equation for a class of singular interaction kernels. We establish a smallness condition on the initial data which yields global existence of smooth solutions. We also give conditions on the species interaction which ensure that pointwise inequalities comparing species densities are preserved by the evolution.
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Additional Information
Elaine Cozzi
Affiliation:
Department of Mathematics, Oregon State University, Corvallis, OR 97331
MR Author ID:
813031
Email:
cozzie@math.oregonstate.edu
Zachary Radke
Affiliation:
Department of Mathematics, Oregon State University, Corvallis, OR 97331
ORCID:
0009-0005-7804-8375
Email:
radkeza@oregonstate.edu
Received by editor(s):
April 28, 2024
Received by editor(s) in revised form:
February 2, 2025, February 7, 2025, and March 21, 2025
Published electronically:
June 10, 2025
Additional Notes:
The first author was supported by the Simons Foundation through Grant No. 429578.
Article copyright:
© Copyright 2025
Brown University