Journal article
Optimal energy decay in a one-dimensional coupled wave-heat system
- Abstract:
- We study a simple one-dimensional coupled wave–heat system and obtain a sharp estimate for the rate of energy decay of classical solutions. Our approach is based on the asymptotic theory of C 0-semigroups and in particular on a result due to Borichev and Tomilov (Math Ann 347:455–478, 2010), which reduces the problem of estimating the rate of energy decay to finding a growth bound for the resolvent of the semigroup generator. This technique not only leads to an optimal result, it is also simpler than the methods used by other authors in similar situations.
- Publication status:
- Accepted
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 287.1KB, Terms of use)
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- Publisher copy:
- 10.1007/s00028-015-0316-0
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Batty, C
- Grant:
- EP/J010723/
- Publisher:
- Springer Verlag
- Journal:
- Journal of Evolution Equations More from this journal
- Volume:
- 16
- Issue:
- 3
- Pages:
- 649-664
- Publication date:
- 2016-01-11
- Acceptance date:
- 2015-11-19
- DOI:
- EISSN:
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1424-3202
- ISSN:
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1424-3199
- Keywords:
- Pubs id:
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pubs:580081
- UUID:
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uuid:d6a13c29-26ca-4aa2-b07a-94c09ab8e076
- Local pid:
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pubs:580081
- Source identifiers:
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580081
- Deposit date:
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2015-12-16
- ARK identifier:
Terms of use
- Copyright holder:
- Springer International Publishing
- Copyright date:
- 2016
- Notes:
- © 2016 Springer International Publishing. This is the accepted manuscript version of the article. The final version is available online from Springer Verlag at:10.1007/s00028-015-0316-0
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