The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations free ebook download.

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The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations free ebook download

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Author(s):	Jacob Bedrossian Vlad Vicol

Date:	2022	Format:	PDF	Language:	English	ISBN/ASIN:	1470470497
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	BookiWooki	Upload Date:	1/7/2023 2:40:02 AM

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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.

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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3166125	Book	https://nitroflare.com/view/46A600A126F2...		6.69	BookiWooki
3166126	Book	https://fikper.com/GyLoUor9kJ/1470470497...		6.69	BookiWooki

Tags: Analysis Equations Euler Incompressible Mathematical Navier-Stokes

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