Existence Theory for Generalized Newtonian Fluids

Written By Dominic Breit
Existence Theory for Generalized Newtonian Fluids
  • Publsiher : Academic Press
  • Release : 22 March 2017
  • ISBN : 0128110457
  • Pages : 286 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Existence Theory for Generalized Newtonian Fluids written by Dominic Breit which was release on 22 March 2017, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: 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
  • Release Date : 2017-03-22
  • Total pages : 286
  • ISBN : 0128110457
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Summary : 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
  • Release Date : 2007-05-06
  • Total pages : 276
  • ISBN : 0128110457
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Summary : 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 ...

Recent Advances in Partial Differential Equations and Applications

Recent Advances in Partial Differential Equations and Applications
  • Author : Vicenţiu D. Rădulescu,Adélia Sequeira,Vsevolod A. Solonnikov
  • Publisher : American Mathematical Soc.
  • Release Date : 2016-06-28
  • Total pages : 404
  • ISBN : 0128110457
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Summary : 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 ...

New Trends and Results in Mathematical Description of Fluid Flows

New Trends and Results in Mathematical Description of Fluid Flows
  • Author : Miroslav Bulíček,Eduard Feireisl,Milan Pokorný
  • Publisher : Springer
  • Release Date : 2018-09-26
  • Total pages : 181
  • ISBN : 0128110457
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Summary : 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

Three Dimensional Navier Stokes Equations for Turbulence
  • Author : Luigi C. Berselli
  • Publisher : Academic Press
  • Release Date : 2021-03-10
  • Total pages : 328
  • ISBN : 0128110457
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Summary : Three-Dimensional Navier-Stokes Equations for Turbulence provides a rigorous but still accessible account of research into local and global energy dissipation, with particular emphasis on turbulence modeling. The mathematical detail is combined with coverage of physical terms such as energy balance and turbulence to make sure the reader is always in ...

Topics in Mathematical Fluid Mechanics

Topics in Mathematical Fluid Mechanics
  • Author : Peter Constantin,Arnaud Debussche,Giovanni P. Galdi,Michael Růžička,Gregory Seregin
  • Publisher : Springer
  • Release Date : 2013-04-03
  • Total pages : 313
  • ISBN : 0128110457
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Summary : 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, ...

Nonlinear Elliptic and Parabolic Problems

Nonlinear Elliptic and Parabolic Problems
  • Author : Michel Chipot
  • Publisher : Springer Science & Business Media
  • Release Date : 2005-10-18
  • Total pages : 536
  • ISBN : 0128110457
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Summary : 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 ...

Mathematical Aspects of Fluid Mechanics

Mathematical Aspects of Fluid Mechanics
  • Author : James C. Robinson,José L. Rodrigo,Witold Sadowski
  • Publisher : Cambridge University Press
  • Release Date : 2012-10-18
  • Total pages : 212
  • ISBN : 0128110457
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Summary : 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 ...

Partial Differential Equations in Anisotropic Musielak Orlicz Spaces

Partial Differential Equations in Anisotropic Musielak Orlicz Spaces
  • Author : Iwona Chlebicka,Piotr Gwiazda,Agnieszka Świerczewska-Gwiazda,Aneta Wróblewska-Kamińska
  • Publisher : Springer Nature
  • Release Date : 2021-11-01
  • Total pages : 389
  • ISBN : 0128110457
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Summary : 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 ...

Nonlinear Problems in Mathematical Physics and Related Topics

Nonlinear Problems in Mathematical Physics and Related Topics
  • Author : Olʹga Aleksandrovna Ladyzhenskai︠a︡
  • Publisher : Springer Science & Business Media
  • Release Date : 2002
  • Total pages : 380
  • ISBN : 0128110457
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Summary : 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....

Mathematical Analysis of Viscoelastic Flows

Mathematical Analysis of Viscoelastic Flows
  • Author : Michael Renardy
  • Publisher : SIAM
  • Release Date : 2000-01-01
  • Total pages : 113
  • ISBN : 0128110457
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Summary : 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 ...

Evolution PDEs with Nonstandard Growth Conditions

Evolution PDEs with Nonstandard Growth Conditions
  • Author : Stanislav Antontsev,Sergey Shmarev
  • Publisher : Springer
  • Release Date : 2015-04-01
  • Total pages : 409
  • ISBN : 0128110457
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Summary : This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of ...

Handbook of Differential Equations Evolutionary Equations

Handbook of Differential Equations  Evolutionary Equations
  • Author : C.M. Dafermos,Milan Pokorny
  • Publisher : Elsevier
  • Release Date : 2008-10-06
  • Total pages : 608
  • ISBN : 0128110457
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Summary : The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts. - Review of new results in the area - Continuation ...

A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences

A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences
  • Author : Riccardo Sacco,Giovanna Guidoboni,Aurelio Giancarlo Mauri
  • Publisher : Academic Press
  • Release Date : 2019-07-18
  • Total pages : 854
  • ISBN : 0128110457
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Summary : 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 ...

Mathematical Analysis in Fluid Mechanics Selected Recent Results

Mathematical Analysis in Fluid Mechanics  Selected Recent Results
  • Author : Raphaël Danchin,Reinhard Farwig,Jiří Neustupa,Patrick Penel
  • Publisher : American Mathematical Soc.
  • Release Date : 2018-06-26
  • Total pages : 212
  • ISBN : 0128110457
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Summary : 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 ...