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http://hdl.handle.net/10397/93876
Title: | A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier–Stokes equations | Authors: | Li, B | Issue Date: | Feb-2021 | Source: | Numerische mathematik, Feb. 2021, v. 147, no. 2, p. 283-304 | Abstract: | We prove that for a given smooth initial value, if a finite element solution of the three-dimensional Navier–Stokes equations is bounded in a certain norm with a relatively small mesh size, then the solution of the Navier–Stokes equations with this given initial value must be smooth and unique, and is successfully approximated by the numerical solution. | Publisher: | Springer | Journal: | Numerische mathematik | ISSN: | 0029-599X | EISSN: | 0945-3245 | DOI: | 10.1007/s00211-021-01172-0 | Rights: | © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00211-021-01172-0 |
Appears in Collections: | Journal/Magazine Article |
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Li_Bounded_Numerical_Solution.pdf | Pre-Published version | 886.49 kB | Adobe PDF | View/Open |
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