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On the Oseen-Brinkman flow around an (m-1)-dimensional solid obstacle

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00474335" target="_blank" >RIV/67985840:_____/17:00474335 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00605-016-0981-2" target="_blank" >http://dx.doi.org/10.1007/s00605-016-0981-2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00605-016-0981-2" target="_blank" >10.1007/s00605-016-0981-2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Oseen-Brinkman flow around an (m-1)-dimensional solid obstacle

  • Original language description

    The purpose of this paper is to develop a layer potential analysis in order to show the well-posedness result of a transmission problem for the Oseen and Brinkman systems in open sets with compact Lipschitz boundaries and around a lower dimensional solid obstacle, when the boundary data belong to some Lebesgue's spaces. In the tree dimensional space or if the Brinkman system is given on bounded open set then there exists a solution of the transmission problem for arbitrary data. If the Brinkman system is given on exterior open set in the plane then necessary and sufficient conditions for the existence of a solution of the transmission problem are stated. A solution of the transmission problem is not unique. All solutions of the problem are found.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Monatshefte für Mathematik

  • ISSN

    0026-9255

  • e-ISSN

  • Volume of the periodical

    183

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    AT - AUSTRIA

  • Number of pages

    34

  • Pages from-to

    269-302

  • UT code for WoS article

    000400451600004

  • EID of the result in the Scopus database

    2-s2.0-84991096048