Demonstrates global existence and unique solutions for a chemotaxis system in two-dimensional space, implying important implications for mathematical modeling.
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.
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Bao et al. (2026) studied this question.
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