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Well-chosen Weak Solutions of the Instationary Navier-Stokes System and Their Uniqueness
| Title: | Well-chosen Weak Solutions of the Instationary Navier-Stokes System and Their Uniqueness |
| Authors: | Farwig, Reinhard Browse this author | | GIGA, YOSHIKAZU Browse this author |
| Keywords: | Navier-Stokes equations | | initial values | | strong Ls (Lq)-solutions | | well-chosen weak solutions, Serrin’s uniquenes theorem |
| Issue Date: | 27-Oct-2015 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1077 |
| Start Page: | 1 |
| End Page: | 10 |
| Abstract: | We clarify the notion of well-chosen weak solutions of the instationary Navier-Stokes system recently introduced by the authors and P.-Y. Hsu in the article Initial values for the Navier-Stokes equations in spaces with weights in time, Funkcialaj Ekvacioj (2015). Well-chosen weak solutions have initial values in L2 ( ) contained also in a quasi-optimal space of Besov type of initial values such that nevertheless Serrin’s Uniqueness Theorem cannot be applied. However, we find universal conditions such that a weak solution given by a concrete approximation method coincides with the strong solution in a weighted function class of Serrin type. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69881 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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