2024-03-29T06:30:54Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/693162022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116regularizing-decay rate estmates for solutions to the Navier-Stokes initial value problemGiga, Y.Sawada, O.open accessKavier-Stokes equationsmild solutionregularizing-decay ratespatial analyticityGronwall inequality410It is known that an Ln-valued continuous solution in time interval (0, T) of the Kavier-Stokes equations in Rn is regular for positive time. In this paper regularizing rate estimates similar to a solution of the heat equation arc established. The estimates also provide analyticity in space variables as well as decay estimates on derivatives for large time. The solutions need not be small. Our results are obtained by estimating the integral equation with a new version of the Gronwall type inequality originally obtained in [2].Department of Mathematics, Hokkaido University2002-11engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83712http://hdl.handle.net/2115/6931610.14943/83712Hokkaido University Preprint Series in Mathematics567212https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69316/1/pre567.pdfapplication/pdf612.25 KB2002-11