A Note on the Subcritical Two Dimensional Keller-Segel System
نویسندگان
چکیده
The existence of solution for the 2D-Keller-Segel system in the subcritical case, i.e. when the initial mass is less than 8π , is reproved. Instead of using the entropy in the free energy and free energy dissipation, which was used in the proofs (Blanchet et al. in SIAM J. Numer. Anal. 46:691–721, 2008; Electron. J. Differ. Equ. Conf. 44:32, 2006 (electronic)), the potential energy term is fully utilized by adapting Delort’s theory on 2D incompressible Euler equation (Delort in J. Am. Math. Soc. 4:553–386, 1991).
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