<p>We correct two errors in our paper [<CitationRef CitationID="CR6">6</CitationRef>]. The main result of our paper is true. The first error concerns the application of the new version of Skorokhod’s theorem to simplify the proof. However, it turns out that this new version is wrong following the recent paper [<CitationRef CitationID="CR4">4</CitationRef>]. We therefore demonstrate that our results are valid by using the classical version of Skorokhod’s theorem. The second one is about the derivation of an estimate to get tightness of the laws of an approximate sequence. We correct the estimate and we show that this estimate ensures the same conclusion of the tightness.</p>

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Corrigendum to: Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions (Stoch PDE: Anal Comp 12, 1699-1744 (2024))

  • Yassine Tahraoui,
  • Fernanda Cipriano

摘要

We correct two errors in our paper [6]. The main result of our paper is true. The first error concerns the application of the new version of Skorokhod’s theorem to simplify the proof. However, it turns out that this new version is wrong following the recent paper [4]. We therefore demonstrate that our results are valid by using the classical version of Skorokhod’s theorem. The second one is about the derivation of an estimate to get tightness of the laws of an approximate sequence. We correct the estimate and we show that this estimate ensures the same conclusion of the tightness.