Global Existence of Weak Solutions to a Higher-Order Parabolic System

Global Existence of Weak Solutions to a Higher-Order Parabolic System

In this paper, we study the coupling of the non-Newtonian Navier–Stokes equation and the oil–water–surfactant equation which stand for a model of a multi-phase incompressible dipolar viscous non-Newtonian fluid under shear. Based on Galerkin approximation and Simon’s compactness results, we obtain t...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2019-05, Vol.42 (3), p.1237-1254
Hauptverfasser: Liu, Aibo, Liu, Changchun
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we study the coupling of the non-Newtonian Navier–Stokes equation and the oil–water–surfactant equation which stand for a model of a multi-phase incompressible dipolar viscous non-Newtonian fluid under shear. Based on Galerkin approximation and Simon’s compactness results, we obtain the existence and uniqueness of weak solutions of the system.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-017-0543-3