ERRATUM: GLOBAL REGULARITY OF NONDIFFUSIVE TEMPERATURE FRONTS FOR THE 2D VISCOUS BOUSSINESQ SYSTEM

초록

There is an error of misusing a commutator formula in the proof of Lemma 2.7 in [ SIAM J. Math. Anal., 54 (2022), pp. 4043--4103] so that this lemma is not correct. However, by establishing a weaker version of this commutator lemma, the main results including Theorem 1.1 in [ SIAM J. Math. Anal., 54 (2022), pp. 4043--4103] still hold true. In addition, we confirm the validity of Lemmas 2.4-(3) and 2.5-(3) in [ SIAM J. Math. Anal., 54 (2022), pp. 4043--4103] although a similar error occurs in the proof.

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