Existence Theory for Generalized Newtonian Fluids - Softcover

Breit, Dominic

Softcover

ISBN 10: 0128110449 ISBN 13: 9780128110447

Publisher: Academic Press, 2017

Synopsis

Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows. The book presents classical results, developments over the last 50 years of research, and recent results with proofs.

• Provides the state-of-the-art of the mathematical theory of Generalized Newtonian fluids
• Combines elliptic, parabolic and stochastic problems within existence theory under one umbrella
• Focuses on the construction of the solenoidal Lipschitz truncation, thus enabling readers to apply it to mathematical research
• Approaches stochastic PDEs with a perspective uniquely suitable for analysis, providing an introduction to Galerkin method for SPDEs and tools for compactness

About this title

About the Author

Dominic Breit is currently Assistant Professor in the Department of Mathematics at Heriot Watt University, Edinburgh. In 2009, Breit finished his PhD study at Saarland University in Saarbrücken (Germany). In 2014, he was awarded a price for the best habilitation thesis at LMU Munich for a thesis which is the basis for this book.

From the Back Cover

Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows. The book presents classical results, developments over the last 50 years of research, and recent results with proofs.

• Provides the state-of-the-art of the mathematical theory of Generalized Newtonian fluids

• Combines elliptic, parabolic and stochastic problems within existence theory under one umbrella.
• Focuses on the construction of the solenoidal Lipschitz truncation.
• Approaches stochastic PDEs with a perspective uniquely suitable for analysis, providing an introduction to the Galerkin method for SPDEs and tools for compactness

About the Author

Dominic Breit is currently Assistant Professor in the Department of Mathematics at Heriot Watt University, Edinburgh. In 2009, Breit finished his PhD study at Saarland University in Saarbrücken (Germany). In 2014, he was awarded a price for the best habilitation thesis at LMU Munich for a thesis which is the basis for this book.

About Mathematics in Science and Engineering

Series Editor: Goong Chen

Editorial Board: Helene Frankowska, Jordi Boronat Medico, Vicentiu Radulescu, Ulrich Stadtmüller, Stephen Wiggins, Pengfei Yao

This book series provides scientists and engineers with useful works in applied, computational and nonlinear mathematics and mechanics. The series focuses thematically on areas of interdisciplinary interest, particularly those based in nonlinear science. Volumes address modeling and use modern computational techniques. Contemporary problems and solutions are targeted throughout.

Edition details

• Publisher: Academic Press
• Publication date: 2017
• Language: English
• ISBN 10: 0128110449
• ISBN 13: 9780128110447
• Binding: Paperback
• Edition number: 1
• Number of pages: 286