DOI: 10.1002/mma.70857 ISSN: 0170-4214
Global Well‐Posedness and Eventually Decay Estimates for the 2D Chemotaxis Equations With the Critical Case in Besov Spaces
Junyan Bao, Qian ZhangABSTRACT
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.