It takes the average reader 3 hours and 59 minutes to read The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations by Jacob Bedrossian
Assuming a reading speed of 250 words per minute. Learn more
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.
The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations by Jacob Bedrossian is 235 pages long, and a total of 59,925 words.
This makes it 79% the length of the average book. It also has 73% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 27 minutes to read The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations aloud.
The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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