Compressible Nonlinearly Viscous Fluids: Asymptotic Analysis in a 3D Curved Domain

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73597325" target="_blank" >RIV/61989592:15310/19:73597325 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/content/pdf/10.1007%2Fs00021-019-0412-y.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs00021-019-0412-y.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00021-019-0412-y" target="_blank" >10.1007/s00021-019-0412-y</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Compressible Nonlinearly Viscous Fluids: Asymptotic Analysis in a 3D Curved Domain

Popis výsledku v původním jazyce

Concerning three-dimensional models, an analytical solution is often impossible and numerical solution can be unduly complicated. Thus, we need to simplify three-dimensional models, when possible, prior to solving the problem. Recently, several lower-dimensional models for dynamics of compressible fluids were rigorously derived from three-dimensional models. We extend the current framework by dealing with nonsteady Navier–Stokes equations for compressible nonlinearly viscous fluids in a deformed three-dimensional domain. The deformation of the domain introduced new difficulties in the asymptotic analysis, because the deformation affects the limit equations in a non-trivial way.

Název v anglickém jazyce

Compressible Nonlinearly Viscous Fluids: Asymptotic Analysis in a 3D Curved Domain

Popis výsledku anglicky

Concerning three-dimensional models, an analytical solution is often impossible and numerical solution can be unduly complicated. Thus, we need to simplify three-dimensional models, when possible, prior to solving the problem. Recently, several lower-dimensional models for dynamics of compressible fluids were rigorously derived from three-dimensional models. We extend the current framework by dealing with nonsteady Navier–Stokes equations for compressible nonlinearly viscous fluids in a deformed three-dimensional domain. The deformation of the domain introduced new difficulties in the asymptotic analysis, because the deformation affects the limit equations in a non-trivial way.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematical Fluid Mechanics

ISSN

1422-6928

e-ISSN

—

Svazek periodika

21

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

27

Strana od-do

"UNSP13-1"-"UNSP13-27"

Kód UT WoS článku

000457990300001

EID výsledku v databázi Scopus

2-s2.0-85061045060