Existence of global weak solutions to the kinetic Peterlin model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00490609" target="_blank" >RIV/67985840:_____/18:00490609 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.nonrwa.2018.05.016" target="_blank" >http://dx.doi.org/10.1016/j.nonrwa.2018.05.016</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.nonrwa.2018.05.016" target="_blank" >10.1016/j.nonrwa.2018.05.016</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Existence of global weak solutions to the kinetic Peterlin model

Popis výsledku v původním jazyce

We consider a class of kinetic models for polymeric fluids motivated by the Peterlin dumbbell theories for dilute polymer solutions with a nonlinear spring law for an infinitely extensible spring. The polymer molecules are suspended in an incompressible viscous Newtonian fluid confined to a bounded domain in two or three space dimensions. The unsteady motion of the solvent is described by the incompressible Navier–Stokes equations with the elastic extra stress tensor appearing as a forcing term in the momentum equation. The elastic stress tensor is defined by Kramer's expression through the probability density function that satisfies the corresponding Fokker–Planck equation. In this case a coefficient depending on the average length of polymer molecules appears in the latter equation. Following the recent work of Barrett and Süli (2018) we prove the existence of global-in-time weak solutions to the kinetic Peterlin model in two space dimensions.

Název v anglickém jazyce

Existence of global weak solutions to the kinetic Peterlin model

Popis výsledku anglicky

We consider a class of kinetic models for polymeric fluids motivated by the Peterlin dumbbell theories for dilute polymer solutions with a nonlinear spring law for an infinitely extensible spring. The polymer molecules are suspended in an incompressible viscous Newtonian fluid confined to a bounded domain in two or three space dimensions. The unsteady motion of the solvent is described by the incompressible Navier–Stokes equations with the elastic extra stress tensor appearing as a forcing term in the momentum equation. The elastic stress tensor is defined by Kramer's expression through the probability density function that satisfies the corresponding Fokker–Planck equation. In this case a coefficient depending on the average length of polymer molecules appears in the latter equation. Following the recent work of Barrett and Süli (2018) we prove the existence of global-in-time weak solutions to the kinetic Peterlin model in two space dimensions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA18-05974S" target="_blank" >GA18-05974S: Oscilace a koncentrace proti stabilitě v rovnicích pohybu tekutin</a><br>

Návaznosti

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 periodika

Nonlinear Analysis: Real World Applications

ISSN

1468-1218

e-ISSN

—

Svazek periodika

44

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

14

Strana od-do

465-478

Kód UT WoS článku

000440122100023

EID výsledku v databázi Scopus

2-s2.0-85048323650