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On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F08%3A00340592" target="_blank" >RIV/67985840:_____/08:00340592 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains

  • Original language description

    This paper studies the existence of weak solutions of the Navier-Stokes system defined on a certain class of domains in R-3 that may contain cusps. The concept of such a domain and weak energy solution for the system is defined and its existence is proved. However, thinness of cusps must be related to the adiabatic constant appearing in the pressure law.

  • 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/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematical Methods in the Applied Sciences

  • ISSN

    0170-4214

  • e-ISSN

  • Volume of the periodical

    32

  • Issue of the periodical within the volume

    11

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    24

  • Pages from-to

  • UT code for WoS article

    000268265900006

  • EID of the result in the Scopus database