2024-03-29T11:55:38Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/693092022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116On the uniqueness of nondecaying solutions for the Navier-Stokes equationsKato, J.open access410In this article, we obtain the uniqueness of solutions ( u, p) of the N avier-Stokes equations in the class u E L∞((0, T)×Rn), p E L1loc([0,T);BMO(Rn)) for initial data in L∞ (Rn). Although there are a few results which treats the uniqueness without decay assumption as |x| →∞([5], [15], [14]), our result gives the another characterization of condition on p.Department of Mathematics, Hokkaido University2002-08engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83705http://hdl.handle.net/2115/6930910.14943/83705Hokkaido University Preprint Series in Mathematics560119https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69309/1/pre560.pdfapplication/pdf640.87 KB2002-08