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The Work of Yoshihiro Shibata Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Existence of Weak Solutions for a Diffuse Interface Model of Power-Law Type Two-Phase Flows

Authors : Helmut Abels, Lars Diening, Yutaka Terasawa

Published in: Recent Developments of Mathematical Fluid Mechanics

Publisher: Springer Basel

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Abstract

We first review results about existence of generalized or weak solutions for Newtonian and power-law type two-phase flows. Then we state a recent result by the authors about existence of weak solutions for diffuse interface model of power-law type two-phase flows and give a sketch of its proof. The latter part is a summary of Abels et al. (Nonlinear Anal Real World Appl 15:149–157, 2014).

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Metadata
Title
Existence of Weak Solutions for a Diffuse Interface Model of Power-Law Type Two-Phase Flows
Authors
Helmut Abels
Lars Diening
Yutaka Terasawa
Copyright Year
2016
Publisher
Springer Basel
Book
Recent Developments of Mathematical Fluid Mechanics

Print ISBN: 978-3-0348-0938-2

Electronic ISBN: 978-3-0348-0939-9

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-0348-0939-9_2

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