Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/94106
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Wang, C | - |
dc.creator | Gao, Y | - |
dc.creator | Xue, X | - |
dc.date.accessioned | 2022-08-11T01:07:09Z | - |
dc.date.available | 2022-08-11T01:07:09Z | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | http://hdl.handle.net/10397/94106 | - |
dc.language.iso | en | en_US |
dc.publisher | Academic Press | en_US |
dc.subject | Bootstrapping argument | en_US |
dc.subject | Quantitative estimate | en_US |
dc.subject | Radius of analyticity | en_US |
dc.title | Joint space-time analyticity of mild solutions to the Navier-Stokes equations | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.volume | 515 | - |
dc.identifier.issue | 2 | - |
dc.identifier.doi | 10.1016/j.jmaa.2022.126428 | - |
dcterms.abstract | In this paper, we show the optimal decay rate estimates of the space-time derivatives and the joint space-time analyticity of solutions to the Navier-Stokes equations. As it is known from the Hartogs's theorem, for a complex function with two complex variables, the joint analyticity with respect to two variables can be derived from combining of analyticity with respect to each variable. However, as a function of two real variables for space and time, the joint space-time analyticity of solutions to the Navier-Stokes equations cannot be directly obtained from the combination of space analyticity and time analyticity. Our result seems to be the first quantitative result for the joint space-time analyticity of solutions to the Navier-Stokes equations, and the proof only involves real variable methods. Moreover, the decay rate estimates also yield the bounds on the growth (in time) of radius of space analyticity, time analyticity, and joint space-time analyticity of solutions. | - |
dcterms.accessRights | embargoed access | en_US |
dcterms.bibliographicCitation | Journal of mathematical analysis and applications, Nov. 2022, v. 515, no. 2, 126428 | - |
dcterms.isPartOf | Journal of mathematical analysis and applications | - |
dcterms.issued | 2022-11 | - |
dc.identifier.scopus | 2-s2.0-85132742944 | - |
dc.identifier.eissn | 1096-0813 | - |
dc.identifier.artn | 126428 | - |
dc.description.validate | 202208 bcch | - |
dc.identifier.FolderNumber | a1585 | en_US |
dc.identifier.SubFormID | 45533 | en_US |
dc.description.fundingSource | Others | en_US |
dc.description.fundingText | National Natural Science Foundation of China, 12101521 | en_US |
dc.description.fundingText | Start-up fund of PolyU, P0036186 | en_US |
dc.description.pubStatus | Published | en_US |
dc.date.embargo | 2024-11-15 | en_US |
Appears in Collections: | Journal/Magazine Article |
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