Remark on the global null controllability for a viscous Burgers-particle system with particle supported control
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524635" target="_blank" >RIV/67985840:_____/20:00524635 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aml.2020.106483" target="_blank" >https://doi.org/10.1016/j.aml.2020.106483</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2020.106483" target="_blank" >10.1016/j.aml.2020.106483</a>
Alternative languages
Result language
angličtina
Original language name
Remark on the global null controllability for a viscous Burgers-particle system with particle supported control
Original language description
This paper is devoted to study the controllability of a one-dimensional fluid-particle interaction model where the fluid follows the viscous Burgers equation and the point mass obeys Newton's second law. We prove the null controllability for the velocity of the fluid and the particle and an approximate controllability for the position of the particle with a control variable acting only on the particle. One of the novelties of our work is the fact that we achieve this controllability result in a uniform time for all initial data and without any smallness assumptions on the initial data.
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
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
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
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Volume of the periodical
107
Issue of the periodical within the volume
September
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
106483
UT code for WoS article
000539042000008
EID of the result in the Scopus database
2-s2.0-85084799261