Analyticity up to the boundary for the Stokes and the Navier-Stokes systems
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- by Guher Camliyurt, Igor Kukavica and Vlad Vicol PDF
- Trans. Amer. Math. Soc. 373 (2020), 3375-3422 Request permission
Abstract:
We consider the Stokes and Navier-Stokes equations in a bounded domain with analytic boundary. We present a direct, robust, energy-type approach for establishing the instantaneous gain of space-time analyticity of the solution from any Sobolev smooth initial datum, with analyticity radius which is uniform up to the curved boundary.References
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Additional Information
- Guher Camliyurt
- Affiliation: Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey 08540
- MR Author ID: 1196663
- Email: camliyurt@math.ias.edu
- Igor Kukavica
- Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089
- MR Author ID: 314775
- Email: kukavica@usc.edu
- Vlad Vicol
- Affiliation: Department of Mathematics, Courant Institute of Mathematical Sciences, New York, New York 10012
- MR Author ID: 846012
- ORCID: setImmediate$0.00243841196800898$2
- Email: vicol@cims.nyu.edu
- Received by editor(s): January 25, 2019
- Received by editor(s) in revised form: August 27, 2019
- Published electronically: February 19, 2020
- Additional Notes: The first author was supported in part by the Ambrose Monell Foundation
The second author was supported in part by the NSF grants DMS-1615239 and DMS-1907992
The third author was supported in part by the NSF grant DMS-1911413. - © Copyright 2020 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 373 (2020), 3375-3422
- MSC (2010): Primary 35Q35; Secondary 76D05
- DOI: https://doi.org/10.1090/tran/7990
- MathSciNet review: 4082242