Regularity Theory for Generalized Navier-Stokes Equations - Non-Newtonian Fluids with Variable Power-Law

This book delves into the recent findings and research methods in the existence and regularity theory for Non-Newtonian Fluids with Variable Power-Law. The aim of this book is not only to introduce recent results and research methods in the existence and regularity theory, such as higher integrability, higher differentiability, and Holder continuity for flows of non-Newtonian fluids with variable power-laws, but also to summarize much of the existing literature concerning these topics. While this book mainly focuses on steady-state flows of non-Newtonian fluids, the methods and ideas presented in this book can be applied to unsteady flows (as discussed in Chapter 7) and other related problems such as complex non-Newtonian fluids, plasticity, elasticity, p(x)-Laplacian type systems, and so on.
The book is intended for researchers and graduate students in the field of mathematical fluid mechanics and partial differential equations with variable exponents. It is expected to contribute to the advancement of mathematics and its applications.

About the author

Cholmin Sin, Institute of Mathematics, DPR Korea; Evgenii Baranovskii, Voronezh State University, Russia

Product details

• Authors: Evgenii S Baranovskii, Evgenii S. Baranovskii, Cholmin Sin
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Released: 31.03.2025
• EAN: 9783111508764
• ISBN: 978-3-11-150876-4
• No. of pages: 302
• Weight: 648 g
• Illustrations: 2 b/w ill.
• Series: De Gruyter Series in Applied and Numerical Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Mathematische Physik, Nichtlineare Wissenschaft, Classical mechanics, Mathematical physics, Nonlinear science, Differential calculus & equations, Applied mathematics, MAT034000 MATHEMATICS / Mathematical Analysis, MAT003000 MATHEMATICS / Applied, SCI041000 SCIENCE / Mechanics / General, SCI064000 SCIENCE / System Theory, SCI067000 SCIENCE / Waves & Wave Mechanics, regularity, Navier-Stokes equations, Weak Solution., Non-Newtonian Fluids, Variable Exponent