Weak solution of one Navier’s problem for the Stokes resolvent system

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00637740" target="_blank" >RIV/67985840:_____/25:00637740 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/s00021-025-00959-7" target="_blank" >https://doi.org/10.1007/s00021-025-00959-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00021-025-00959-7" target="_blank" >10.1007/s00021-025-00959-7</a>

Result language

angličtina

Original language name

Weak solution of one Navier’s problem for the Stokes resolvent system

Original language description

This paper studies the Stokes resolvent system -Δu+λu+∇ρ=f, ∇·u=χ in Ω with the Navier condition un=gn, [∂u/∂n-ρn+bu]τ=hτ on ∂Ω. Here Ω⊂R2 is a bounded domain with Lipschitz boundary. Ω might have holes. First we define and study weak solutions in W1,2(Ω,C2)×L2(Ω,C). Using this result we are able to prove the existence of strong solutions of the problem in Sobolev spaces Ws,q(Ω,C2)×Ws-1,q(Ω,C), in Besov spaces Bsq,r(Ω,C2)×Bs-1q,r(Ω,C) and classical solutions in the spaces Ck,α(Ω¯,C2)×Ck-1,α(Ω¯,C).

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

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

Name of the periodical

Journal of Mathematical Fluid Mechanics

ISSN

1422-6928

e-ISSN

1422-6952

Volume of the periodical

27

Issue of the periodical within the volume

3

Country of publishing house

DE - GERMANY

Number of pages

12

Pages from-to

58

UT code for WoS article

001536586100001

EID of the result in the Scopus database

2-s2.0-105011706824