Existence Theory for Generalized Newtonian Fluids
  • Author : Dominic Breit
  • Release Date : 22 March 2017
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 286
  • ISBN 13 : 9780128110454

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Book Description: 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

Existence Theory for Generalized Newtonian Fluids

Existence Theory for Generalized Newtonian Fluids

Author : Dominic Breit
Publisher : Academic Press
Genre : Mathematics
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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 ...

Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Author : Martin Fuchs,Gregory Seregin
Publisher : Springer
Genre : Mathematics
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Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is ...

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Recent Advances in Partial Differential Equations and Applications

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Publisher : American Mathematical Soc.
Genre : Differential equations, Partial
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This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão da Veiga's 70th birthday, held from February 17–21, 2014, in Levico Terme, Italy. The conference brought together leading experts and researchers in nonlinear partial differential equations to promote research and ...

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Publisher : Springer
Genre : Mathematics
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The book presents recent results and new trends in the theory of fluid mechanics. Each of the four chapters focuses on a different problem in fluid flow accompanied by an overview of available older results. The chapters are extended lecture notes from the ESSAM school "Mathematical Aspects of Fluid Flows" ...

Three Dimensional Navier Stokes Equations for Turbulence

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Author : Luigi C. Berselli
Publisher : Academic Press
Genre : Science
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Topics in Mathematical Fluid Mechanics

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Publisher : Springer
Genre : Mathematics
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This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, ...

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Nonlinear Elliptic and Parabolic Problems

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Publisher : Springer Science & Business Media
Genre : Mathematics
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The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related ...

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Publisher : Cambridge University Press
Genre : Mathematics
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The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader ...

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Publisher : Springer
Genre : Technology & Engineering
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This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to ...

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Publisher : Springer Nature
Genre : Mathematics
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This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation ...

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Nonlinear Problems in Mathematical Physics and Related Topics

Author : Olʹga Aleksandrovna Ladyzhenskai︠a︡
Publisher : Springer Science & Business Media
Genre : Mathematics
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The main topics in this volume reflect the fields of mathematics in which Professor O.A. Ladyzhenskaya obtained her most influential results. One of the main topics considered is the set of Navier-Stokes equations and their solutions....

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Mathematical Analysis of Viscoelastic Flows

Author : Michael Renardy
Publisher : SIAM
Genre : Mathematics
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This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple ...

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Author : Herbert Amann,Yoshikazu Giga,Hideo Kozono,Hisashi Okamoto,Masao Yamazaki
Publisher : Birkhäuser
Genre : Mathematics
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The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest ...

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Publisher : Academic Press
Genre : Technology & Engineering
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A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences provides a systematic methodology to the formulation of problems in biomedical engineering and the life sciences through the adoption of mathematical models based on physical principles, such as the conservation of mass, electric charge, momentum, and energy. It ...

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Author : Raphaël Danchin,Reinhard Farwig,Jiří Neustupa,Patrick Penel
Publisher : American Mathematical Soc.
Genre : Fluid mechanics
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This volume contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV)—Complex Fluids and the Issue of Regularity, held from May 8–12, 2017, in Luminy, Marseille, France. The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system ...