Shape optimization of hemolysis for shear thinning flows in moving domains

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00587042" target="_blank" >RIV/67985840:_____/24:00587042 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1137/23M1595485" target="_blank" >https://doi.org/10.1137/23M1595485</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/23M1595485" target="_blank" >10.1137/23M1595485</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Shape optimization of hemolysis for shear thinning flows in moving domains

Popis výsledku v původním jazyce

We consider the three-dimensional problem of shape optimization of blood flows in moving domains. Such a geometry is adopted to take into account the modeling of rotating systems and blood pumps, for instance. The blood flow is described by generalized Navier-Stokes equations, in the particular case of shear-thinning flows. For a sequence of converging moving domains, we show that a sequence of associated solutions to blood equations converges to a solution of the problem written on the limit moving domain. Thus, we extended the result given in [J. Sokolowski and J. Stebel, Evol. Equ. Control Theory, 3 (2014), pp. 331-348] for q ≥ 11/5, to the range 6/5 < q < 11/5, where q is the exponent of the rheological law. This shape continuity property allows us to show the existence of minimal shapes for a class of functionals depending on the blood velocity field and its gradient. This allows one to consider in particular the problem of hemolysis minimization in blood flows, namely the minimization of red blood cells damage.

Název v anglickém jazyce

Shape optimization of hemolysis for shear thinning flows in moving domains

Popis výsledku anglicky

We consider the three-dimensional problem of shape optimization of blood flows in moving domains. Such a geometry is adopted to take into account the modeling of rotating systems and blood pumps, for instance. The blood flow is described by generalized Navier-Stokes equations, in the particular case of shear-thinning flows. For a sequence of converging moving domains, we show that a sequence of associated solutions to blood equations converges to a solution of the problem written on the limit moving domain. Thus, we extended the result given in [J. Sokolowski and J. Stebel, Evol. Equ. Control Theory, 3 (2014), pp. 331-348] for q ≥ 11/5, to the range 6/5 < q < 11/5, where q is the exponent of the rheological law. This shape continuity property allows us to show the existence of minimal shapes for a class of functionals depending on the blood velocity field and its gradient. This allows one to consider in particular the problem of hemolysis minimization in blood flows, namely the minimization of red blood cells damage.

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

2024

Kód důvěrnosti údajů

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

Název periodika

SIAM Journal on Control and Optimization

ISSN

0363-0129

e-ISSN

1095-7138

Svazek periodika

62

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

23

Strana od-do

1546-1568

Kód UT WoS článku

001230833500001

EID výsledku v databázi Scopus

2-s2.0-85195313355