Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows
Abels H, Diening L, Terasawa Y (2014)
Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 15: 149-157.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Abels, Helmut;
Diening, LarsUniBi 
;
Terasawa, Yutaka
;
Terasawa, YutakaEinrichtung
Abstract / Bemerkung
We consider a phase field model for the flow of two partly miscible
incompressible, viscous fluids of Non-Newtonian (power law) type. In the model
it is assumed that the densities of the fluids are equal. We prove existence of
weak solutions for general initial data and arbitrarily large times with the
aid of a parabolic Lipschitz truncation method, which preserves solenoidal
velocity fields and was recently developed by Breit, Diening, and Schwarzacher.
Erscheinungsjahr
2014
Zeitschriftentitel
Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal
Band
15
Seite(n)
149-157
ISSN
1468-1218
Page URI
https://pub.uni-bielefeld.de/record/2913498
Zitieren
Abels H, Diening L, Terasawa Y. Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal. 2014;15:149-157.
Abels, H., Diening, L., & Terasawa, Y. (2014). Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal, 15, 149-157. doi:10.1016/j.nonrwa.2013.07.001
Abels, Helmut, Diening, Lars, and Terasawa, Yutaka. 2014. “Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows”. Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 15: 149-157.
Abels, H., Diening, L., and Terasawa, Y. (2014). Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 15, 149-157.
Abels, H., Diening, L., & Terasawa, Y., 2014. Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal, 15, p 149-157.
H. Abels, L. Diening, and Y. Terasawa, “Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows”, Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal, vol. 15, 2014, pp. 149-157.
Abels, H., Diening, L., Terasawa, Y.: Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal. 15, 149-157 (2014).
Abels, Helmut, Diening, Lars, and Terasawa, Yutaka. “Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows”. Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 15 (2014): 149-157.
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