PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384503" target="_blank" >RIV/00216208:11320/18:10384503 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1090/conm/710/14362" target="_blank" >https://doi.org/10.1090/conm/710/14362</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1090/conm/710/14362" target="_blank" >10.1090/conm/710/14362</a>

Jazyk výsledku

angličtina

Název v původním jazyce

PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion

Popis výsledku v původním jazyce

We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonian fluids described by a simplified viscoelastic rate-type model with a stress-diffusion term. The simplified model shares many qualitative features with more complex viscoelastic rate-type models that are frequently used in the modeling of fluids with complicated microstructure. As such, the simplified model provides important preliminary insight into the mathematical properties of these more complex and practically relevant models of non-Newtonian fluids. The simplified model that is analyzed from the mathematical perspective is shown to be thermodynamically consistent, and we extensively comment on the interplay between the thermodynamical background of the model and the mathematical analysis of the corresponding initial-boundary-value problem.

Název v anglickém jazyce

PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion

Popis výsledku anglicky

We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonian fluids described by a simplified viscoelastic rate-type model with a stress-diffusion term. The simplified model shares many qualitative features with more complex viscoelastic rate-type models that are frequently used in the modeling of fluids with complicated microstructure. As such, the simplified model provides important preliminary insight into the mathematical properties of these more complex and practically relevant models of non-Newtonian fluids. The simplified model that is analyzed from the mathematical perspective is shown to be thermodynamically consistent, and we extensively comment on the interplay between the thermodynamical background of the model and the mathematical analysis of the corresponding initial-boundary-value problem.

Druh

C - Kapitola v odborné knize

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/LL1202" target="_blank" >LL1202: Materiály s implicitními konstitutivními vztahy: Od teorie přes redukci modelů k efektivním numerickým metodám</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Mathematical Analysis in Fluid Mechanics: Selected Recent Results

ISBN

978-1-4704-3646-9

Počet stran výsledku

29

Strana od-do

25-53

Počet stran knihy

242

Název nakladatele

American Mathematical Society

Místo vydání

Neuveden

Kód UT WoS kapitoly

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