The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations: An Introduction, Jacob Bedrossian, Vlad Vicol

Автор: Jacob Bedrossian, Vlad Vicol
Название: The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations: An Introduction
ISBN: 1470471787 ISBN-13(EAN): 9781470471781
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
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Описание: The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces.Chapters 1 and 2 cover the fundamentals of the Euler theory: derivation, Eulerian and Lagrangian perspectives, vorticity, special solutions, existence theory for smooth solutions, and blowup criteria. Chapters 3, 4, and 5 cover the fundamentals of the Navier-Stokes theory: derivation, special solutions, existence theory for strong solutions, Leray theory of weak solutions, weak-strong uniqueness, existence theory of mild solutions, and Prodi-Serrin regularity criteria. Chapter 6 provides a short guide to the must-read topics, including active research directions, for an advanced graduate student working in incompressible fluids. It may be used as a roadmap for a topics course in a subsequent semester. The appendix recalls basic results from real, harmonic, and functional analysis. Each chapter concludes with exercises, making the text suitable for a one-semester graduate course.Prerequisites to this book are the first two semesters of graduate-level analysis and PDE courses.

Автор: Chao Wang, Weiren Zhao, Yunrui Zheng, Zhifei Zhang
Название: Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
ISBN: 1470446898 ISBN-13(EAN): 9781470446895
Издательство: Mare Nostrum (Eurospan)
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Цена: 80390.00 T
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Описание: Telling the stories of twelve North Carolina heritage foods, each matched to the month of its peak readiness for eating, Georgann Eubanks takes readers on a flavourful journey across the state. Talking with farmers, fishmongers, cooks, historians, and scientists, Eubanks looks at how foods are deeply tied to the culture of the Old North State.

Автор: Boyer Franck, Fabrie Pierre
Название: Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations Andrelated Models
ISBN: 1489986030 ISBN-13(EAN): 9781489986030
Издательство: Springer
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Цена: 158380.00 T
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Описание: This book introduces mathematical techniques needed to analyse PDEs coming from incompressible fluid mechanics, including Stokes and Navier-Stokes equations and more specific models, and offering methods applicable to a range of domains in nonlinear analysis.

Автор: Li Jian, Lin Xiaolin, Chen Zhangxing
Название: Finite Volume Methods for the Incompressible Navier-Stokes Equations
ISBN: 3030946355 ISBN-13(EAN): 9783030946357
Издательство: Springer
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Цена: 46570.00 T
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Описание: The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods. The authors have attempted to make this book self-contained by offering complete proofs and theoretical results. While most of the material presented has been taught by the authors in a number of institutions over the past several years, they also include several updated theoretical results for the finite volume methods for the incompressible Navier-Stokes equations. This book is primarily developed to address research needs for students and academic and industrial researchers. It is particularly valuable as a research reference in the fields of engineering, mathematics, physics, and computer sciences.

Автор: Guilong Gui
Название: Stability to the Incompressible Navier-Stokes Equations
ISBN: 3642360270 ISBN-13(EAN): 9783642360275
Издательство: Springer
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Цена: 46570.00 T
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Описание: Devoted to the study of the stability to the incompressible Navier-Stokes equations, this book develops techniques that are potentially useful for other physical model equations, and that offer great promise for further theoretical and numerical research.

Автор: Davidson, P.A.,
Название: Incompressible fluid dynamics /
ISBN: 0198869096 ISBN-13(EAN): 9780198869092
Издательство: Oxford Academ
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Цена: 100320.00 T
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Описание: Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics

Автор: Robinson
Название: Recent Progress in the Theory of the Euler and Navier–Stokes Equations
ISBN: 1107554977 ISBN-13(EAN): 9781107554979
Издательство: Cambridge Academ
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Цена: 61240.00 T
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Описание: This survey volume provides an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. It serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

Автор: John Volker
Название: Finite Element Methods for Incompressible Flow Problems
ISBN: 3319833642 ISBN-13(EAN): 9783319833644
Издательство: Springer
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Цена: 214280.00 T
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Описание: This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.

Автор: Johan Hoffman; Claes Johnson
Название: Computational Turbulent Incompressible Flow
ISBN: 3642079865 ISBN-13(EAN): 9783642079863
Издательство: Springer
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Цена: 69870.00 T
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Описание: This is Volume 4 of the book series of the Body and Soul mathematics education reform program. It presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3.

Автор: Stefan Turek
Название: Efficient Solvers for Incompressible Flow Problems
ISBN: 3642635733 ISBN-13(EAN): 9783642635731
Издательство: Springer
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Цена: 46570.00 T
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Описание: A discussion of recent numerical and algorithmic tools for the solution of certain flow problems arising in CFD, which are governed by the incompressible Navier-Stokes equations.

Автор: Kajishima Takeo, Taira Kunihiko
Название: Computational Fluid Dynamics: Incompressible Turbulent Flows
ISBN: 3319832638 ISBN-13(EAN): 9783319832630
Издательство: Springer
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Цена: 79190.00 T
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Описание: This textbook presents numerical solution techniques for incompressible turbulent flows that occur in a variety of scientific and engineering settings including aerodynamics of ground-based vehicles and low-speed aircraft, fluid flows in energy systems, atmospheric flows, and biological flows.

Автор: Denisova I. V., Solonnikov V. A.
Название: Motion of a Drop in an Incompressible Fluid
ISBN: 3030700526 ISBN-13(EAN): 9783030700522
Издательство: Springer
Цена: 83850.00 T
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Описание: This volume will offer pathways to further research for those interested in the active field of free boundary problems in fluid mechanics, and specifically the two-phase problem for the Navier-Stokes equations.The authors` main focus is on the evolution of an isolated mass with and without surface tension on the free interface.