Math @ Duke

Publications [#246891] of JianGuo Liu
Papers Published
 Carrillo, JA; Chen, L; Liu, JG; Wang, J, A note on the subcritical two dimensional KellerSegel system,
Acta Applicandae Mathematicae, vol. 119 no. 1
(2012),
pp. 4355, ISSN 01678019 [doi]
(last updated on 2018/03/24)
Abstract: The existence of solution for the 2DKellerSegel 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. 46:691721, 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. 4:553386, 1991). © 2011 Springer Science+Business Media B.V.


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