Navier-Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines-the case of a bounded domain

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F22%3A00365202" target="_blank" >RIV/68407700:21110/22:00365202 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1088/1361-6544/ac8e4c" target="_blank" >https://doi.org/10.1088/1361-6544/ac8e4c</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6544/ac8e4c" target="_blank" >10.1088/1361-6544/ac8e4c</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Navier-Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines-the case of a bounded domain

Popis výsledku v původním jazyce

In this paper we deal with the conditional regularity of the weak solutions of the Navier-Stokes equations on a bounded domain endowed with Navier boundary conditions, Navier-type boundary conditions or Dirichlet boundary conditions. We prove the regularity criteria which are based on the directional derivatives of several fundamental quantities along the streamlines, namely the velocity magnitude, the kinetic energy, the pressure, the velocity field and the Bernoulli pressure. In striking contrast to the known criteria in which the mentioned quantities were differentiated along a fixed vector, our criteria are mostly optimal for the whole range of parameters and have a clear physical meaning.

Název v anglickém jazyce

Navier-Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines-the case of a bounded domain

Popis výsledku anglicky

In this paper we deal with the conditional regularity of the weak solutions of the Navier-Stokes equations on a bounded domain endowed with Navier boundary conditions, Navier-type boundary conditions or Dirichlet boundary conditions. We prove the regularity criteria which are based on the directional derivatives of several fundamental quantities along the streamlines, namely the velocity magnitude, the kinetic energy, the pressure, the velocity field and the Bernoulli pressure. In striking contrast to the known criteria in which the mentioned quantities were differentiated along a fixed vector, our criteria are mostly optimal for the whole range of parameters and have a clear physical meaning.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Centrum pokročilých aplikovaných přírodních věd</a><br>

Návaznosti

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

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Nonlinearity

ISSN

0951-7715

e-ISSN

1361-6544

Svazek periodika

35

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

23

Strana od-do

5880-5902

Kód UT WoS článku

000869335600001

EID výsledku v databázi Scopus

2-s2.0-85140063818