Shape optimization of hemolysis for shear thinning flows in moving domains
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Shape optimization of hemolysis for shear thinning flows in moving domains
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Control and Optimization
ISSN
0363-0129
e-ISSN
1095-7138
Volume of the periodical
62
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
1546-1568
UT code for WoS article
001230833500001
EID of the result in the Scopus database
2-s2.0-85195313355