Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F23%3AA2502MI7" target="_blank" >RIV/61988987:17310/23:A2502MI7 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0893965923003762" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965923003762</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2023.108944" target="_blank" >10.1016/j.aml.2023.108944</a>
Alternative languages
Result language
angličtina
Original language name
Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains
Original language description
The stabilization by noise for parabolic equations in perforated domains, i.e. domains with small holes, is investigated. We show that when the holes are small enough, one can stabilize the unstable equations using suitable multiplicative Itô noise. The results are quantitative, in the sense that we can explicitly estimate the size of the holes and diffusion coefficients for which stabilization by noise takes place. This is done by using the asymptotic behaviour of the first eigenvalue of the Laplacian as the hole shrinks to a point.
Czech name
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Czech description
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Classification
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
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics Letters
ISSN
0893-9659
e-ISSN
1873-5452
Volume of the periodical
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Issue of the periodical within the volume
April 2024
Country of publishing house
GB - UNITED KINGDOM
Number of pages
5
Pages from-to
1-5
UT code for WoS article
001134777400001
EID of the result in the Scopus database
2-s2.0-85178558468