Long-time behavior of shape design solutions for the Navier-Stokes equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00569947" target="_blank" >RIV/67985840:_____/23:00569947 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/zamm.202100441" target="_blank" >https://doi.org/10.1002/zamm.202100441</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/zamm.202100441" target="_blank" >10.1002/zamm.202100441</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Long-time behavior of shape design solutions for the Navier-Stokes equations

Popis výsledku v původním jazyce

We investigate the behavior of dynamic shape design problems for fluid flow at large time horizon. In particular, we shall compare the shape solutions of a dynamic shape optimization problem with that of a stationary problem and show that the solution of the former approaches a neighborhood of that of the latter. The convergence of domains is based on the (Formula presented.) -topology of their corresponding characteristic functions, which is closed under the set of domains satisfying the cone property. As a consequence, we show that the asymptotic convergence of shape solutions for parabolic/elliptic problems is a particular case of our analysis. Last, a numerical example is provided to show the occurrence of the convergence of shape design solutions of time-dependent problems with different values of the terminal time T to a shape design solution of the stationary problem.

Název v anglickém jazyce

Long-time behavior of shape design solutions for the Navier-Stokes equations

Popis výsledku anglicky

We investigate the behavior of dynamic shape design problems for fluid flow at large time horizon. In particular, we shall compare the shape solutions of a dynamic shape optimization problem with that of a stationary problem and show that the solution of the former approaches a neighborhood of that of the latter. The convergence of domains is based on the (Formula presented.) -topology of their corresponding characteristic functions, which is closed under the set of domains satisfying the cone property. As a consequence, we show that the asymptotic convergence of shape solutions for parabolic/elliptic problems is a particular case of our analysis. Last, a numerical example is provided to show the occurrence of the convergence of shape design solutions of time-dependent problems with different values of the terminal time T to a shape design solution of the stationary problem.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

ISSN

0044-2267

e-ISSN

1521-4001

Svazek periodika

103

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

19

Strana od-do

e202100441

Kód UT WoS článku

000879496700001

EID výsledku v databázi Scopus

2-s2.0-85141514214