On partial uniform boundedness of a semigroup generated by a perturbed Oseen operator in an exterior domain
Result description
We treat the asymptotic behavior of strong solutions of a perturbed non-steady Oseen equation in an exterior domain. We formulate sufficient conditions for partial uniform boundedness (partial uniform stability) of the corresponding analytic semigroup. The conditions are based on behavior of the resolvent of the generator L of the semigroup. In a particular case, they reduce to conditions on position of eigenvalues of L, not taking into account the essential spectrum of L.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On partial uniform boundedness of a semigroup generated by a perturbed Oseen operator in an exterior domain
Original language description
We treat the asymptotic behavior of strong solutions of a perturbed non-steady Oseen equation in an exterior domain. We formulate sufficient conditions for partial uniform boundedness (partial uniform stability) of the corresponding analytic semigroup. The conditions are based on behavior of the resolvent of the generator L of the semigroup. In a particular case, they reduce to conditions on position of eigenvalues of L, not taking into account the essential spectrum of L.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA201/05/0005: Mathematical theory and numerical simulation of problems of fluid mechanics
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
WSEAS Transactions on Mathematics
ISSN
1109-2769
e-ISSN
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Volume of the periodical
5
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2006