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

Cholmin Sin

ISBN 10: 3111508765 / ISBN 13: 9783111508764

Editore: De Gruyter, 2025

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Neuware - 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.

Codice articolo 9783111508764

Dati bibliografici

• Titolo: Regularity Theory for Generalized Navier-Stokes Equations : Non-Newtonian Fluids with Variable Power-Law
• Editore: De Gruyter
• Data di pubblicazione: 2025
• Lingua: Inglese
• ISBN 10: 3111508765
• ISBN 13: 9783111508764
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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