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Local in time existence of solution of the Navier-Stokes equations with various types of boundary conditions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F21%3A00352078" target="_blank" >RIV/68407700:21110/21:00352078 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s41808-021-00109-w" target="_blank" >https://doi.org/10.1007/s41808-021-00109-w</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s41808-021-00109-w" target="_blank" >10.1007/s41808-021-00109-w</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Local in time existence of solution of the Navier-Stokes equations with various types of boundary conditions

  • Original language description

    In this paper we deal with the two-dimensional Navier-Stokes system with three types of boundary conditions, including the so called “do-nothing” boundary condition. We prove the local in time existence and uniqueness of a solution for the initial velocity, which can belong to a class of functions that can be at least a little stronger than L2(Ω).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of elliptic and parabolic equations

  • ISSN

    2296-9020

  • e-ISSN

  • Volume of the periodical

    7

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    14

  • Pages from-to

    297-310

  • UT code for WoS article

    000679754900001

  • EID of the result in the Scopus database

    2-s2.0-85111581297