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


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Автор: Jacob Bedrossian, Vlad Vicol
Название:  The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations: An Introduction
ISBN: 9781470471781
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470471787
Обложка/Формат: Paperback
Страницы: 218
Вес: 0.43 кг.
Дата издания: 30.12.2022
Серия: Graduate studies in mathematics
Язык: English
Размер: 183 x 257 x 125
Ключевые слова: Differential calculus & equations,Mathematical physics
Подзаголовок: An introduction
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Поставляется из: Англии
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.
Дополнительное описание: Differential calculus and equations|Mathematical physics



The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations: An Introduction

Автор: Jacob Bedrossian, Vlad Vicol
Название: The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations: An Introduction
ISBN: 1470470497 ISBN-13(EAN): 9781470470494
Издательство: Mare Nostrum (Eurospan)
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Цена: 19127.00 р.
Наличие на складе: Нет в наличии.

Описание: Provides graduate students with 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.

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

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: 23757.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary

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: 12058.00 р.
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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.

Finite Volume Methods for the Incompressible Navier-Stokes Equations

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: 6986.00 р.
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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.

Stability to the Incompressible Navier-Stokes Equations

Автор: Guilong Gui
Название: Stability to the Incompressible Navier-Stokes Equations
ISBN: 3642360270 ISBN-13(EAN): 9783642360275
Издательство: Springer
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Цена: 6986.00 р.
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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.

Incompressible fluid dynamics /

Автор: Davidson, P.A.,
Название: Incompressible fluid dynamics /
ISBN: 0198869096 ISBN-13(EAN): 9780198869092
Издательство: Oxford Academ
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Цена: 15048.00 р.
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Описание: Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics

Recent Progress in the Theory of the Euler and Navier–Stokes Equations

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: 9186.00 р.
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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.

Finite Element Methods for Incompressible Flow Problems

Автор: John Volker
Название: Finite Element Methods for Incompressible Flow Problems
ISBN: 3319833642 ISBN-13(EAN): 9783319833644
Издательство: Springer
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Цена: 32142.00 р.
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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.

Computational Turbulent Incompressible Flow

Автор: Johan Hoffman; Claes Johnson
Название: Computational Turbulent Incompressible Flow
ISBN: 3642079865 ISBN-13(EAN): 9783642079863
Издательство: Springer
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Цена: 10480.00 р.
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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.

Efficient Solvers for Incompressible Flow Problems

Автор: Stefan Turek
Название: Efficient Solvers for Incompressible Flow Problems
ISBN: 3642635733 ISBN-13(EAN): 9783642635731
Издательство: Springer
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Цена: 6986.00 р.
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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.

Computational Fluid Dynamics: Incompressible Turbulent Flows

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: 11878.00 р.
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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.

Motion of a Drop in an Incompressible Fluid

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: 12577.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.


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