Global Boundedness of an Alarm–Taxis System With Nonlinear Diffusion
ABSTRACT In this paper, we study an alarm–taxis system with nonlinear diffusion . We consider this problem in a bounded domain with Neumann boundary conditions. By the complex coupling energy estimates based on the Neumann semigroup smoothing properties, we establish the existence of globally bounded weak solutions for any .
Authors
- Changchun Liu (ORCID: https://orcid.org/0000-0001-9209-0573)
- Yue Zhou (ORCID: https://orcid.org/0000-0002-8262-9405)
Institutions
- Jilin University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-02
- DOI
- https://doi.org/10.1002/mma.11014
- Primary Topic
- Mathematical Biology Tumor Growth
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- People's Government of Jilin Province