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A sufficient integral condition for local regularity of solutions to the surface growth model
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Ozanski, Wojciech (2019) A sufficient integral condition for local regularity of solutions to the surface growth model. Journal of Functional Analysis, 276 (10). pp. 2990-3013. doi:10.1016/j.jfa.2019.02.017 ISSN 0022-1236.
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WRAP-sufficient-integral-local-regularity-solutions-surface-growth-model-Ozanski-2018.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (685Kb) | Preview |
Official URL: https://doi.org/10.1016/j.jfa.2019.02.017
Abstract
The surface growth model, , is a one-dimensional fourth order equation, which shares a number of striking similarities with the three-dimensional incompressible Navier–Stokes equations, including the results regarding existence and uniqueness of solutions and the partial regularity theory. Here we show that a weak solution of this equation is smooth on a space-time cylinder Q if the Serrin condition is satisfied, where are such that either or , .
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Navier-Stokes equations | ||||||||
| Journal or Publication Title: | Journal of Functional Analysis | ||||||||
| Publisher: | Academic Press | ||||||||
| ISSN: | 0022-1236 | ||||||||
| Official Date: | 15 May 2019 | ||||||||
| Dates: |
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| Volume: | 276 | ||||||||
| Number: | 10 | ||||||||
| Page Range: | pp. 2990-3013 | ||||||||
| DOI: | 10.1016/j.jfa.2019.02.017 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Date of first compliant deposit: | 7 March 2019 | ||||||||
| Date of first compliant Open Access: | 8 March 2020 | ||||||||
| RIOXX Funder/Project Grant: |
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