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On partial uniform boundedness of a semigroup generated by a perturbed Oseen operator in an exterior domain

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F06%3A00336005" target="_blank" >RIV/67985840:_____/06:00336005 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F05%2F0005" target="_blank" >GA201/05/0005: Mathematical theory and numerical simulation of problems of fluid mechanics</a><br>

  • 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

  • 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

  • UT code for WoS article

  • EID of the result in the Scopus database