Global Well‐Posedness and Eventually Decay Estimates for the 2D Chemotaxis Equations With the Critical Case in Besov Spaces
ABSTRACT In this paper, we study the Cauchy problem for a chemotaxis system in two‐dimensional Euclidean space. Assuming the initial data belongs to , we prove the global existence and uniqueness of solutions, along with their long‐time asymptotic behavior.
Authors
- Junyan Bao (ORCID: https://orcid.org/0000-0002-8132-6998)
- Qian Zhang (ORCID: https://orcid.org/0000-0001-9594-2575)
Institutions
- Hebei University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2026-06-25
- DOI
- https://doi.org/10.1002/mma.70857
- Primary Topic
- Mathematical Biology Tumor Growth
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Hebei Province