Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models

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Publisher : Springer Science & Business Media
ISBN 13 : 1461459753
Total Pages : 538 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models by : Franck Boyer

Download or read book Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models written by Franck Boyer and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .

Mathematics for Modeling and Scientific Computing

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Publisher : John Wiley & Sons
ISBN 13 : 1119371279
Total Pages : 470 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Mathematics for Modeling and Scientific Computing by : Thierry Goudon

Download or read book Mathematics for Modeling and Scientific Computing written by Thierry Goudon and published by John Wiley & Sons. This book was released on 2016-10-14 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the mathematical basis for investigating numerically equations from physics, life sciences or engineering. Tools for analysis and algorithms are confronted to a large set of relevant examples that show the difficulties and the limitations of the most naïve approaches. These examples not only provide the opportunity to put into practice mathematical statements, but modeling issues are also addressed in detail, through the mathematical perspective.

Factorization of Boundary Value Problems Using the Invariant Embedding Method

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Publisher : Elsevier
ISBN 13 : 0081010907
Total Pages : 258 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Factorization of Boundary Value Problems Using the Invariant Embedding Method by : Jacques Henry

Download or read book Factorization of Boundary Value Problems Using the Invariant Embedding Method written by Jacques Henry and published by Elsevier. This book was released on 2016-11-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem. This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems. - Develops the invariant embedding technique for boundary value problems - Makes a link between control theory, boundary value problems and the Gauss factorization - Presents a new theory for successively solving linear elliptic boundary value problems - Includes a transformation in two initial value problems that are uncoupled

An Introduction to Mathematics of Emerging Biomedical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 3540795537
Total Pages : 198 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis An Introduction to Mathematics of Emerging Biomedical Imaging by : Habib Ammari

Download or read book An Introduction to Mathematics of Emerging Biomedical Imaging written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2008-05-21 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.

Modeling of Microscale Transport in Biological Processes

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Publisher : Academic Press
ISBN 13 : 0128046198
Total Pages : 396 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Modeling of Microscale Transport in Biological Processes by : Sid M. Becker

Download or read book Modeling of Microscale Transport in Biological Processes written by Sid M. Becker and published by Academic Press. This book was released on 2016-12-27 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling of Microscale Transport in Biological Processes provides a compendium of recent advances in theoretical and computational modeling of biotransport phenomena at the microscale. The simulation strategies presented range from molecular to continuum models and consider both numerical and exact solution method approaches to coupled systems of equations. The biological processes covered in this book include digestion, molecular transport, microbial swimming, cilia mediated flow, microscale heat transfer, micro-vascular flow, vesicle dynamics, transport through bio-films and bio-membranes, and microscale growth dynamics. The book is written for an advanced academic research audience in the fields of engineering (encompassing biomedical, chemical, biological, mechanical, and electrical), biology and mathematics. Although written for, and by, expert researchers, each chapter provides a strong introductory section to ensure accessibility to readers at all levels. - Features recent developments in theoretical and computational modeling for clinical researchers and engineers - Furthers researcher understanding of fluid flow in biological media and focuses on biofluidics at the microscale - Includes chapters expertly authored by internationally recognized authorities in the fundamental and applied fields that are associated with microscale transport in living media

Mathematical Foundations of Computational Electromagnetism

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Publisher : Springer
ISBN 13 : 3319708422
Total Pages : 460 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematical Foundations of Computational Electromagnetism by : Franck Assous

Download or read book Mathematical Foundations of Computational Electromagnetism written by Franck Assous and published by Springer. This book was released on 2018-06-09 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well‐posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.

Publications Du Laboratoire D'analyse Numérique

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Publisher :
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Publications Du Laboratoire D'analyse Numérique by :

Download or read book Publications Du Laboratoire D'analyse Numérique written by and published by . This book was released on 1991 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 1100 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Advances in Differential Equations by :

Download or read book Advances in Differential Equations written by and published by . This book was released on 1997 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1993-06 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:

PASCAL.

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Publisher :
ISBN 13 :
Total Pages : 758 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis PASCAL. by :

Download or read book PASCAL. written by and published by . This book was released on 1991 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt:

INIS Atomindeks

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Publisher :
ISBN 13 :
Total Pages : 1402 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis INIS Atomindeks by :

Download or read book INIS Atomindeks written by and published by . This book was released on 1970 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government reports annual index

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Publisher :
ISBN 13 :
Total Pages : 1132 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Government reports annual index by :

Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

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Publisher :
ISBN 13 :
Total Pages : 1058 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1986-05 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Annual Index: Keyword A-L

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Publisher :
ISBN 13 :
Total Pages : 868 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Government Reports Annual Index: Keyword A-L by :

Download or read book Government Reports Annual Index: Keyword A-L written by and published by . This book was released on 1986 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Basic Concepts for Simple and Complex Liquids

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Publisher : Cambridge University Press
ISBN 13 : 9780521789530
Total Pages : 410 pages
Book Rating : 4.7/5 (895 download)

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Book Synopsis Basic Concepts for Simple and Complex Liquids by : Jean-Louis Barrat

Download or read book Basic Concepts for Simple and Complex Liquids written by Jean-Louis Barrat and published by Cambridge University Press. This book was released on 2003-03-27 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a unified approach, this book focusses on the concepts and theoretical methods that are necessary for an understanding of the physics and chemistry of the fluid state. The authors do not attempt to cover the whole field in an encyclopedic manner. Instead, important ideas are presented in a concise and rigorous style, and illustrated with examples from both simple molecular liquids and more complex soft condensed matter systems such as polymers, colloids, and liquid crystals.

Bulletin de L'Institut International Du Froid

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Publisher :
ISBN 13 :
Total Pages : 750 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Bulletin de L'Institut International Du Froid by : International Institute of Refrigeration

Download or read book Bulletin de L'Institut International Du Froid written by International Institute of Refrigeration and published by . This book was released on 1983 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some numbers called Special issue and consist of summaries of papers to be presented at the International Congresses of Refrigeration.

Singular Limits in Thermodynamics of Viscous Fluids

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Publisher : Springer Science & Business Media
ISBN 13 : 3764388439
Total Pages : 411 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Singular Limits in Thermodynamics of Viscous Fluids by : Eduard Feireisl

Download or read book Singular Limits in Thermodynamics of Viscous Fluids written by Eduard Feireisl and published by Springer Science & Business Media. This book was released on 2009-03-28 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.