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Time-periodic solutions of advection-diffusion equations on moving hypersurfaces
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Elliott, Charles M. and Fritz, Hans (2015) Time-periodic solutions of advection-diffusion equations on moving hypersurfaces. SIAM Journal on Mathematical Analysis, 47 (3). pp. 1693-1718. doi:10.1137/140977060 ISSN 0036-1410.
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Official URL: http://dx.doi.org/10.1137/140977060
Abstract
In this paper we study time-periodic solutions to advection-diffusion equations of a scalar quantity $u$ on a periodically moving $n$-dimensional hypersurface $\Gamma(t) \subset \mathbb{R}^{n+1}$. We prove existence and uniqueness of solutions in suitable Hölder spaces.
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): | Equations -- Numerical solutions, Lipschitz spaces | ||||||||
Journal or Publication Title: | SIAM Journal on Mathematical Analysis | ||||||||
Publisher: | Society for Industrial and Applied Mathematics | ||||||||
ISSN: | 0036-1410 | ||||||||
Official Date: | 5 May 2015 | ||||||||
Dates: |
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Volume: | 47 | ||||||||
Number: | 3 | ||||||||
Page Range: | pp. 1693-1718 | ||||||||
DOI: | 10.1137/140977060 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 10 November 2016 | ||||||||
Date of first compliant Open Access: | 10 November 2016 | ||||||||
Funder: | Isaac Newton Institute for Mathematical Sciences | ||||||||
Adapted As: |
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