One problem of the Navier type for the Stokes system in planar domains

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00462882" target="_blank" >RIV/67985840:_____/16:00462882 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.jde.2016.08.007" target="_blank" >http://dx.doi.org/10.1016/j.jde.2016.08.007</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jde.2016.08.007" target="_blank" >10.1016/j.jde.2016.08.007</a>

Result language

angličtina

Original language name

One problem of the Navier type for the Stokes system in planar domains

Original language description

We study the Stokes system in a bounded simply connected planar domain with prescribed pressure and the tangential part of a velocity on the boundary. We prove unique solvability of the problem in Sobolev and Besov spaces. We study also classical solutions of the problem and solutions in the sense of the nontangential limit.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

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

Name of the periodical

Journal of Differential Equations

ISSN

0022-0396

e-ISSN

—

Volume of the periodical

261

Issue of the periodical within the volume

10

Country of publishing house

US - UNITED STATES

Number of pages

20

Pages from-to

5670-5689

UT code for WoS article

000384874400016

EID of the result in the Scopus database

2-s2.0-84992070824