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Publications [#341982] of Siming He

Papers Published

  1. Bedrossian, J; He, S, Erratum: Suppression of blow-up in patlak-keller-segel via shear flows (SIAM Journal on Mathematical Analysis (2017) 49 (4722-4766) DOI: 10.1137/16M1093380), Siam Journal on Mathematical Analysis, vol. 50 no. 6 (January, 2018), pp. 6365-6372 [doi]
    (last updated on 2020/07/12)

    Abstract:
    © 2018 Society for Industrial and Applied Mathematics. There is unfortunately a small gap in the original proof of one of the theorems in "Suppression of Blow-Up in Patlak-Keller-Segel Via Shear Flows" [Bedrossian and He, SIAM J. Math. Anal., 49(2017), pp. 4722-4766]. Specifically, the proof of Theorem 2(b), the case T x R2, has an error in Lemma 4.1, the control on the free energy. The application of Sard's theorem incorrectly ignores boundary contributions at infinity and we do not see a way to justify the stated inequality rigorously. The correction is not difficult but does require a slightly different approach to the problem of controlling the two-dimensional free energy. Below we outline the corrected proof.

 

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