Regularity Theory for Generalized Navier–Stokes Equations

Non-Newtonian Fluids with Variable Power-Law
1. Auflage 2025
ISBN: 978-3-11-150876-4
Verlag: De Gruyter

Buch, Englisch, Band 10, 302 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 648 g

Reihe: De Gruyter Series in Applied and Numerical Mathematics

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.

Zielgruppe

Math researchers, postgraduate students in mathematical fluid mec

Autoren/Hrsg.

Sin, Cholmin

Baranovskii, Evgenii S.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme

Über Autor(innen)

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