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Existence of global weak solutions to the kinetic Peterlin model
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SYSNO ASEP 0490609 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Existence of global weak solutions to the kinetic Peterlin model Tvůrce(i) Gwiazda, P. (PL)
Lukáčová-Medviďová, M. (DE)
Mizerová, Hana (MU-W) SAI, RID
Świerczewska, A. (PL)Zdroj.dok. Nonlinear Analysis: Real World Applications. - : Elsevier - ISSN 1468-1218
Roč. 44, December (2018), s. 465-478Poč.str. 14 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova dilute polymer solutions ; kinetic theory ; Navier–Stokes–Fokker–Planck system ; Peterlin approximation Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA18-05974S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000440122100023 EID SCOPUS 85048323650 DOI 10.1016/j.nonrwa.2018.05.016 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2019
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