Gevrey regularity for the Euler-Bernoulli beam equation with localized structural damping

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00586686" target="_blank" >RIV/67985840:_____/24:00586686 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/00036811.2023.2256354" target="_blank" >https://doi.org/10.1080/00036811.2023.2256354</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/00036811.2023.2256354" target="_blank" >10.1080/00036811.2023.2256354</a>

Result language
angličtina
Original language name
Gevrey regularity for the Euler-Bernoulli beam equation with localized structural damping
Original language description
We study a Euler–Bernoulli beam equation with localized discontinuous structural damping. As our main result, we prove that the associated (Formula presented.) -semigroup (Formula presented.) is of Gevrey class (Formula presented.) for t>0, hence immediately differentiable. Moreover, we show that (Formula presented.) is exponentially stable.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-01591S" target="_blank" >GA22-01591S: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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